Identifier
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
Mp00088: Permutations —Kreweras complement⟶ Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00088: Permutations —Kreweras complement⟶ Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Images
=>
Cc0010;cc-rep-4
[1]=>[1]=>[1]=>[1]=>[.,.]
[1,2]=>[1,2]=>[2,1]=>[2,1]=>[[.,.],.]
[2,1]=>[1,2]=>[2,1]=>[2,1]=>[[.,.],.]
[1,2,3]=>[1,2,3]=>[2,3,1]=>[2,3,1]=>[[.,.],[.,.]]
[1,3,2]=>[1,2,3]=>[2,3,1]=>[2,3,1]=>[[.,.],[.,.]]
[2,1,3]=>[1,2,3]=>[2,3,1]=>[2,3,1]=>[[.,.],[.,.]]
[2,3,1]=>[1,2,3]=>[2,3,1]=>[2,3,1]=>[[.,.],[.,.]]
[3,1,2]=>[1,3,2]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[3,2,1]=>[1,3,2]=>[2,1,3]=>[2,1,3]=>[[.,.],[.,.]]
[1,2,3,4]=>[1,2,3,4]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[1,2,4,3]=>[1,2,3,4]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[1,3,2,4]=>[1,2,3,4]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[1,3,4,2]=>[1,2,3,4]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[1,4,2,3]=>[1,2,4,3]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[1,4,3,2]=>[1,2,4,3]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,1,3,4]=>[1,2,3,4]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[2,1,4,3]=>[1,2,3,4]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[2,3,1,4]=>[1,2,3,4]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[2,3,4,1]=>[1,2,3,4]=>[2,3,4,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[2,4,1,3]=>[1,2,4,3]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[2,4,3,1]=>[1,2,4,3]=>[2,3,1,4]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[3,1,2,4]=>[1,3,2,4]=>[2,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[3,1,4,2]=>[1,3,4,2]=>[2,1,3,4]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[3,2,1,4]=>[1,3,2,4]=>[2,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[3,2,4,1]=>[1,3,4,2]=>[2,1,3,4]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[3,4,1,2]=>[1,3,2,4]=>[2,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[3,4,2,1]=>[1,3,2,4]=>[2,4,3,1]=>[2,4,3,1]=>[[.,.],[[.,.],.]]
[4,1,2,3]=>[1,4,3,2]=>[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[4,1,3,2]=>[1,4,2,3]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[4,2,1,3]=>[1,4,3,2]=>[2,1,4,3]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[4,2,3,1]=>[1,4,2,3]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[4,3,1,2]=>[1,4,2,3]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[4,3,2,1]=>[1,4,2,3]=>[2,4,1,3]=>[2,4,1,3]=>[[.,.],[[.,.],.]]
[1,2,3,4,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,2,3,5,4]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,2,4,3,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,2,4,5,3]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,2,5,3,4]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[1,2,5,4,3]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[1,3,2,4,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,3,2,5,4]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,3,4,2,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,3,4,5,2]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,3,5,2,4]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[1,3,5,4,2]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[1,4,2,3,5]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,4,2,5,3]=>[1,2,4,5,3]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[1,4,3,2,5]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,4,3,5,2]=>[1,2,4,5,3]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[1,4,5,2,3]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,4,5,3,2]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[1,5,2,3,4]=>[1,2,5,4,3]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[1,5,2,4,3]=>[1,2,5,3,4]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[1,5,3,2,4]=>[1,2,5,4,3]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[1,5,3,4,2]=>[1,2,5,3,4]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[1,5,4,2,3]=>[1,2,5,3,4]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[1,5,4,3,2]=>[1,2,5,3,4]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,1,3,4,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,1,3,5,4]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,1,4,3,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,1,4,5,3]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,1,5,3,4]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,1,5,4,3]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,3,1,4,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,3,1,5,4]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,3,4,1,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,3,4,5,1]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,3,5,1,4]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,3,5,4,1]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,4,1,3,5]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,4,1,5,3]=>[1,2,4,5,3]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,3,1,5]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,4,3,5,1]=>[1,2,4,5,3]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,4,5,1,3]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,4,5,3,1]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[2,5,1,3,4]=>[1,2,5,4,3]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,1,4,3]=>[1,2,5,3,4]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,5,3,1,4]=>[1,2,5,4,3]=>[2,3,1,5,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[2,5,3,4,1]=>[1,2,5,3,4]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,5,4,1,3]=>[1,2,5,3,4]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[2,5,4,3,1]=>[1,2,5,3,4]=>[2,3,5,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,1,2,4,5]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,1,2,5,4]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,1,4,2,5]=>[1,3,4,2,5]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,1,4,5,2]=>[1,3,4,5,2]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,2,4]=>[1,3,5,4,2]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[3,1,5,4,2]=>[1,3,5,2,4]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,2,1,4,5]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,2,1,5,4]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,2,4,1,5]=>[1,3,4,2,5]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,2,4,5,1]=>[1,3,4,5,2]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[3,2,5,1,4]=>[1,3,5,4,2]=>[2,1,3,5,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[3,2,5,4,1]=>[1,3,5,2,4]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,4,1,2,5]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,4,1,5,2]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,4,2,1,5]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,4,2,5,1]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,4,5,1,2]=>[1,3,5,2,4]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,4,5,2,1]=>[1,3,5,2,4]=>[2,5,3,1,4]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,5,1,2,4]=>[1,3,2,5,4]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,5,1,4,2]=>[1,3,2,5,4]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,5,2,1,4]=>[1,3,2,5,4]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,5,2,4,1]=>[1,3,2,5,4]=>[2,4,3,1,5]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[3,5,4,1,2]=>[1,3,4,2,5]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[3,5,4,2,1]=>[1,3,4,2,5]=>[2,5,3,4,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,2,3,5]=>[1,4,3,2,5]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,2,5,3]=>[1,4,5,3,2]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[4,1,3,2,5]=>[1,4,2,3,5]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,3,5,2]=>[1,4,5,2,3]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[4,1,5,2,3]=>[1,4,2,3,5]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,1,5,3,2]=>[1,4,3,5,2]=>[2,1,4,3,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[4,2,1,3,5]=>[1,4,3,2,5]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,2,1,5,3]=>[1,4,5,3,2]=>[2,1,5,3,4]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[4,2,3,1,5]=>[1,4,2,3,5]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,2,3,5,1]=>[1,4,5,2,3]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[4,2,5,1,3]=>[1,4,2,3,5]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,2,5,3,1]=>[1,4,3,5,2]=>[2,1,4,3,5]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[4,3,1,2,5]=>[1,4,2,3,5]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,3,1,5,2]=>[1,4,5,2,3]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[4,3,2,1,5]=>[1,4,2,3,5]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,3,2,5,1]=>[1,4,5,2,3]=>[2,5,1,3,4]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[4,3,5,1,2]=>[1,4,2,3,5]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,3,5,2,1]=>[1,4,2,3,5]=>[2,4,5,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,5,1,2,3]=>[1,4,2,5,3]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[4,5,1,3,2]=>[1,4,3,2,5]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,5,2,1,3]=>[1,4,2,5,3]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[4,5,2,3,1]=>[1,4,3,2,5]=>[2,5,4,3,1]=>[2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]
[4,5,3,1,2]=>[1,4,2,5,3]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[4,5,3,2,1]=>[1,4,2,5,3]=>[2,4,1,3,5]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[5,1,2,3,4]=>[1,5,4,3,2]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[5,1,2,4,3]=>[1,5,3,2,4]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,1,3,2,4]=>[1,5,4,2,3]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[5,1,3,4,2]=>[1,5,2,3,4]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,1,4,2,3]=>[1,5,3,4,2]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[5,1,4,3,2]=>[1,5,2,3,4]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,2,1,3,4]=>[1,5,4,3,2]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[5,2,1,4,3]=>[1,5,3,2,4]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,2,3,1,4]=>[1,5,4,2,3]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[5,2,3,4,1]=>[1,5,2,3,4]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,2,4,1,3]=>[1,5,3,4,2]=>[2,1,4,5,3]=>[2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]
[5,2,4,3,1]=>[1,5,2,3,4]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,3,1,2,4]=>[1,5,4,2,3]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[5,3,1,4,2]=>[1,5,2,3,4]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,3,2,1,4]=>[1,5,4,2,3]=>[2,5,1,4,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[5,3,2,4,1]=>[1,5,2,3,4]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,3,4,1,2]=>[1,5,2,3,4]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,3,4,2,1]=>[1,5,2,3,4]=>[2,4,5,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,4,1,2,3]=>[1,5,3,2,4]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,4,1,3,2]=>[1,5,2,4,3]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[5,4,2,1,3]=>[1,5,3,2,4]=>[2,5,4,1,3]=>[2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]
[5,4,2,3,1]=>[1,5,2,4,3]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[5,4,3,1,2]=>[1,5,2,4,3]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[5,4,3,2,1]=>[1,5,2,4,3]=>[2,4,1,5,3]=>[2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[2,3,4,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[2,3,1,4,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[2,3,6,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>[2,3,1,6,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>[2,3,1,5,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>[2,3,6,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[2,3,5,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>[2,3,5,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[2,3,1,6,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[2,3,1,5,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>[2,3,6,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[2,3,5,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>[2,3,6,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>[2,3,5,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,1,6,5,4,2]=>[1,3,6,2,4,5]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[2,1,3,4,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>[2,1,3,6,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>[2,1,3,5,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[2,1,3,6,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>[2,1,3,5,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[2,6,3,1,4,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[2,5,3,6,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[2,6,3,1,5,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>[2,5,3,6,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[2,4,3,1,5,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>[2,6,3,4,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[2,6,3,5,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>[2,5,3,1,6,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[2,4,3,1,6,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>[2,4,3,6,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>[2,5,3,4,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>[2,6,3,4,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>[2,6,3,5,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>[2,5,3,1,4,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,1,6,5,3,2]=>[1,4,5,3,6,2]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>[2,1,6,3,4,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>[2,1,6,3,5,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>[2,1,4,3,5,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[2,1,5,3,6,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>[2,1,4,3,6,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>[2,1,5,3,4,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>[2,6,1,3,4,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>[2,6,1,3,5,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>[2,4,5,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>[2,5,6,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>[2,4,5,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>[2,5,6,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[2,6,5,3,1,4]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>[2,4,1,3,5,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>[2,5,1,3,6,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[2,4,6,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>[2,6,4,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>[2,6,5,3,4,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>[2,4,1,3,6,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>[2,5,1,3,4,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>[2,4,6,3,1,5]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>[2,6,4,3,5,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>[2,1,4,5,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[2,1,4,6,3,5]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>[2,1,5,4,3,6]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,1,6,4,2]=>[1,5,4,6,2,3]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,2,1,6,4]=>[1,5,6,4,2,3]=>[2,6,1,5,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,2,6,4,1]=>[1,5,4,6,2,3]=>[2,6,1,4,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>[2,5,6,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>[2,4,5,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>[2,5,6,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>[2,4,5,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,1,6,3,2]=>[1,5,3,2,4,6]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,2,1,6,3]=>[1,5,6,3,2,4]=>[2,6,5,1,3,4]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,2,6,3,1]=>[1,5,3,2,4,6]=>[2,5,4,6,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>[2,5,1,6,3,4]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>[2,4,1,5,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>[2,6,4,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>[2,4,6,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>[2,5,4,1,3,6]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>[2,4,1,6,3,5]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>[2,5,1,4,3,6]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>[2,6,4,5,3,1]=>[2,6,5,4,3,1]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>[2,4,6,1,3,5]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[2,1,4,5,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>[2,6,1,5,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>[2,6,1,4,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>[2,5,6,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>[2,4,5,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>[2,5,6,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>[2,4,5,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>[2,6,5,1,4,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>[2,5,4,6,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>[2,5,1,6,4,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>[2,4,1,5,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>[2,6,4,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,4,5,3,2,1]=>[1,6,2,4,3,5]=>[2,4,6,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,2,1,4,3]=>[1,6,3,2,5,4]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>[2,6,5,4,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>[2,5,4,1,6,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>[2,5,1,4,6,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>[2,4,1,6,5,3]=>[2,6,1,5,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,4,1,3,2]=>[1,6,2,5,3,4]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,4,2,1,3]=>[1,6,3,4,2,5]=>[2,6,4,5,1,3]=>[2,6,5,4,1,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,4,2,3,1]=>[1,6,2,5,3,4]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,4,3,1,2]=>[1,6,2,5,3,4]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[6,5,4,3,2,1]=>[1,6,2,5,3,4]=>[2,4,6,1,5,3]=>[2,6,5,1,4,3]=>[[.,.],[[[[.,.],.],.],.]]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,3,4,5,7]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,3,7,5,4]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,4,3,5,7]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,4,7,5,3]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,7,3,5,4]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,7,4,5,3]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,2,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,4,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,4,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,4,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,4,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,4,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,4,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,5,4,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,5,4,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,5,6,4,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,5,6,7,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,5,7,4,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,5,7,6,4]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,6,4,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,6,4,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,6,5,4,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,6,5,7,4]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,6,7,4,5]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,6,7,5,4]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,7,4,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,7,4,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,7,5,4,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,7,5,6,4]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,7,6,4,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,2,7,6,5,4]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,2,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,2,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,2,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,2,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,2,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,2,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,5,2,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,5,2,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,5,6,2,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,5,6,7,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,5,7,2,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,5,7,6,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,6,2,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,6,2,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,6,5,2,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,6,5,7,2]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,6,7,2,5]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,6,7,5,2]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,7,2,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,7,2,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,7,5,2,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,7,5,6,2]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,7,6,2,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,4,7,6,5,2]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,2,4,6,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,2,4,7,6]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,2,6,4,7]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,2,6,7,4]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,2,7,4,6]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,2,7,6,4]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,4,2,6,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,4,2,7,6]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,4,6,2,7]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,4,6,7,2]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,4,7,2,6]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,4,7,6,2]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,6,2,4,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,6,2,7,4]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,6,4,2,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,6,4,7,2]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,6,7,2,4]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,6,7,4,2]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,7,2,4,6]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,7,2,6,4]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,7,4,2,6]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,7,4,6,2]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,7,6,2,4]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,5,7,6,4,2]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,2,4,5,7]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,2,4,7,5]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,2,5,4,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,2,5,7,4]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,2,7,4,5]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,2,7,5,4]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,4,2,5,7]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,4,2,7,5]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,4,5,2,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,4,5,7,2]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,4,7,2,5]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,4,7,5,2]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,5,2,4,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,5,2,7,4]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,5,4,2,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,5,4,7,2]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,5,7,2,4]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,5,7,4,2]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,7,2,4,5]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,7,2,5,4]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,7,4,2,5]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,7,4,5,2]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,7,5,2,4]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,6,7,5,4,2]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,2,4,5,6]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,2,4,6,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,2,5,4,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,2,5,6,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,2,6,4,5]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,2,6,5,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,4,2,5,6]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,4,2,6,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,4,5,2,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,4,5,6,2]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,4,6,2,5]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,4,6,5,2]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,5,2,4,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,5,2,6,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,5,4,2,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,5,4,6,2]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,5,6,2,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,5,6,4,2]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,6,2,4,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,6,2,5,4]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,6,4,2,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,6,4,5,2]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,6,5,2,4]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,3,7,6,5,4,2]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,3,5,7,6]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,3,6,5,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,3,6,7,5]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,3,7,5,6]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,3,7,6,5]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,5,3,6,7]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,5,3,7,6]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,5,6,3,7]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,5,6,7,3]=>[1,2,4,5,6,7,3]=>[2,3,1,4,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,5,7,3,6]=>[1,2,4,5,7,6,3]=>[2,3,1,4,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,5,7,6,3]=>[1,2,4,5,7,3,6]=>[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,6,3,5,7]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,6,3,7,5]=>[1,2,4,6,7,5,3]=>[2,3,1,4,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,6,5,3,7]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,6,5,7,3]=>[1,2,4,6,7,3,5]=>[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,6,7,3,5]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,6,7,5,3]=>[1,2,4,6,5,7,3]=>[2,3,1,4,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,7,3,5,6]=>[1,2,4,7,6,5,3]=>[2,3,1,4,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,7,3,6,5]=>[1,2,4,7,5,3,6]=>[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,7,5,3,6]=>[1,2,4,7,6,3,5]=>[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,7,5,6,3]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,7,6,3,5]=>[1,2,4,7,5,6,3]=>[2,3,1,4,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,2,7,6,5,3]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,2,5,6,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,2,5,7,6]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,2,6,5,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,2,6,7,5]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,2,7,5,6]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,2,7,6,5]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,5,2,6,7]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,5,2,7,6]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,5,6,2,7]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,5,6,7,2]=>[1,2,4,5,6,7,3]=>[2,3,1,4,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,5,7,2,6]=>[1,2,4,5,7,6,3]=>[2,3,1,4,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,5,7,6,2]=>[1,2,4,5,7,3,6]=>[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,6,2,5,7]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,6,2,7,5]=>[1,2,4,6,7,5,3]=>[2,3,1,4,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,6,5,2,7]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,6,5,7,2]=>[1,2,4,6,7,3,5]=>[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,6,7,2,5]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,6,7,5,2]=>[1,2,4,6,5,7,3]=>[2,3,1,4,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,7,2,5,6]=>[1,2,4,7,6,5,3]=>[2,3,1,4,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,7,2,6,5]=>[1,2,4,7,5,3,6]=>[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,7,5,2,6]=>[1,2,4,7,6,3,5]=>[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,7,5,6,2]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,7,6,2,5]=>[1,2,4,7,5,6,3]=>[2,3,1,4,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,3,7,6,5,2]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,2,3,6,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,2,3,7,6]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,2,6,3,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,2,6,7,3]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,2,7,3,6]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,2,7,6,3]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,3,2,6,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,3,2,7,6]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,3,6,2,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,3,6,7,2]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,3,7,2,6]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,3,7,6,2]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,6,2,3,7]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,6,2,7,3]=>[1,2,4,6,7,3,5]=>[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,6,3,2,7]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,6,3,7,2]=>[1,2,4,6,7,3,5]=>[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,6,7,2,3]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,6,7,3,2]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,7,2,3,6]=>[1,2,4,7,6,3,5]=>[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,7,2,6,3]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,7,3,2,6]=>[1,2,4,7,6,3,5]=>[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,7,3,6,2]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,7,6,2,3]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,5,7,6,3,2]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,2,3,5,7]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,2,3,7,5]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,2,5,3,7]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,2,5,7,3]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,2,7,3,5]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,2,7,5,3]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,3,2,5,7]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,3,2,7,5]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,3,5,2,7]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,3,5,7,2]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,3,7,2,5]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,3,7,5,2]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,5,2,3,7]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,5,2,7,3]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,5,3,2,7]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,5,3,7,2]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,5,7,2,3]=>[1,2,4,5,7,3,6]=>[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,5,7,3,2]=>[1,2,4,5,7,3,6]=>[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,7,2,3,5]=>[1,2,4,7,5,3,6]=>[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,7,2,5,3]=>[1,2,4,7,3,6,5]=>[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,7,3,2,5]=>[1,2,4,7,5,3,6]=>[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,7,3,5,2]=>[1,2,4,7,3,6,5]=>[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,7,5,2,3]=>[1,2,4,7,3,6,5]=>[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,6,7,5,3,2]=>[1,2,4,7,3,6,5]=>[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,2,3,5,6]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,2,3,6,5]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,2,5,3,6]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,2,5,6,3]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,2,6,3,5]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,2,6,5,3]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,3,2,5,6]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,3,2,6,5]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,3,5,2,6]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,3,5,6,2]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,3,6,2,5]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,3,6,5,2]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,5,2,3,6]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,5,2,6,3]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,5,3,2,6]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,5,3,6,2]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,5,6,2,3]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,5,6,3,2]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,6,2,3,5]=>[1,2,4,6,3,7,5]=>[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,6,2,5,3]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,6,3,2,5]=>[1,2,4,6,3,7,5]=>[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,6,3,5,2]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,6,5,2,3]=>[1,2,4,6,3,7,5]=>[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,4,7,6,5,3,2]=>[1,2,4,6,3,7,5]=>[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,3,4,6,7]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,3,4,7,6]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,3,6,4,7]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,3,6,7,4]=>[1,2,5,6,7,4,3]=>[2,3,1,7,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,3,7,4,6]=>[1,2,5,7,6,4,3]=>[2,3,1,7,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,3,7,6,4]=>[1,2,5,7,4,3,6]=>[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,4,3,6,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,4,3,7,6]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,4,6,3,7]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,4,6,7,3]=>[1,2,5,6,7,3,4]=>[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,4,7,3,6]=>[1,2,5,7,6,3,4]=>[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,4,7,6,3]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,6,3,4,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,6,3,7,4]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,6,4,3,7]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,6,4,7,3]=>[1,2,5,4,6,7,3]=>[2,3,1,5,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,6,7,3,4]=>[1,2,5,7,4,6,3]=>[2,3,1,6,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,6,7,4,3]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,7,3,4,6]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,7,3,6,4]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,7,4,3,6]=>[1,2,5,4,7,6,3]=>[2,3,1,5,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,7,4,6,3]=>[1,2,5,4,7,3,6]=>[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,7,6,3,4]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,2,7,6,4,3]=>[1,2,5,6,4,7,3]=>[2,3,1,6,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,2,4,6,7]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,2,4,7,6]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,2,6,4,7]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,2,6,7,4]=>[1,2,5,6,7,4,3]=>[2,3,1,7,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,2,7,4,6]=>[1,2,5,7,6,4,3]=>[2,3,1,7,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,2,7,6,4]=>[1,2,5,7,4,3,6]=>[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,4,2,6,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,4,2,7,6]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,4,6,2,7]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,4,6,7,2]=>[1,2,5,6,7,3,4]=>[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,4,7,2,6]=>[1,2,5,7,6,3,4]=>[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,4,7,6,2]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,6,2,4,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,6,2,7,4]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,6,4,2,7]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,6,4,7,2]=>[1,2,5,4,6,7,3]=>[2,3,1,5,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,6,7,2,4]=>[1,2,5,7,4,6,3]=>[2,3,1,6,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,6,7,4,2]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,7,2,4,6]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,7,2,6,4]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,7,4,2,6]=>[1,2,5,4,7,6,3]=>[2,3,1,5,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,7,4,6,2]=>[1,2,5,4,7,3,6]=>[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,7,6,2,4]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,3,7,6,4,2]=>[1,2,5,6,4,7,3]=>[2,3,1,6,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,2,3,6,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,2,3,7,6]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,2,6,3,7]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,2,6,7,3]=>[1,2,5,6,7,3,4]=>[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,2,7,3,6]=>[1,2,5,7,6,3,4]=>[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,2,7,6,3]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,3,2,6,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,3,2,7,6]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,3,6,2,7]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,3,6,7,2]=>[1,2,5,6,7,3,4]=>[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,3,7,2,6]=>[1,2,5,7,6,3,4]=>[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,3,7,6,2]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,6,2,3,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,6,2,7,3]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,6,3,2,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,6,3,7,2]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,6,7,2,3]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,6,7,3,2]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,7,2,3,6]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,7,2,6,3]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,7,3,2,6]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,7,3,6,2]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,7,6,2,3]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,4,7,6,3,2]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,2,3,4,7]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,2,3,7,4]=>[1,2,5,3,6,7,4]=>[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,2,4,3,7]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,2,4,7,3]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,2,7,3,4]=>[1,2,5,7,4,3,6]=>[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,2,7,4,3]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,3,2,4,7]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,3,2,7,4]=>[1,2,5,3,6,7,4]=>[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,3,4,2,7]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,3,4,7,2]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,3,7,2,4]=>[1,2,5,7,4,3,6]=>[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,3,7,4,2]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,4,2,3,7]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,4,2,7,3]=>[1,2,5,3,6,7,4]=>[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,4,3,2,7]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,4,3,7,2]=>[1,2,5,3,6,7,4]=>[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,4,7,2,3]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,4,7,3,2]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,7,2,3,4]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,7,2,4,3]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,7,3,2,4]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,7,3,4,2]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,7,4,2,3]=>[1,2,5,4,7,3,6]=>[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,6,7,4,3,2]=>[1,2,5,4,7,3,6]=>[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,2,3,4,6]=>[1,2,5,3,7,6,4]=>[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,2,3,6,4]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,2,4,3,6]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,2,4,6,3]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,2,6,3,4]=>[1,2,5,6,3,7,4]=>[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,2,6,4,3]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,3,2,4,6]=>[1,2,5,3,7,6,4]=>[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,3,2,6,4]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,3,4,2,6]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,3,4,6,2]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,3,6,2,4]=>[1,2,5,6,3,7,4]=>[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,3,6,4,2]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,4,2,3,6]=>[1,2,5,3,7,6,4]=>[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,4,2,6,3]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,4,3,2,6]=>[1,2,5,3,7,6,4]=>[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,4,3,6,2]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,4,6,2,3]=>[1,2,5,6,3,7,4]=>[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,4,6,3,2]=>[1,2,5,6,3,7,4]=>[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,6,2,3,4]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,6,2,4,3]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,6,3,2,4]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,6,3,4,2]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,6,4,2,3]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,5,7,6,4,3,2]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,3,4,5,7]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,3,4,7,5]=>[1,2,6,7,5,4,3]=>[2,3,1,7,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,3,5,4,7]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,3,5,7,4]=>[1,2,6,7,4,3,5]=>[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,3,7,4,5]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,3,7,5,4]=>[1,2,6,5,7,4,3]=>[2,3,1,7,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,4,3,5,7]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,4,3,7,5]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,4,5,3,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,4,5,7,3]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,4,7,3,5]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,4,7,5,3]=>[1,2,6,5,7,3,4]=>[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,5,3,4,7]=>[1,2,6,4,5,3,7]=>[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,5,3,7,4]=>[1,2,6,7,4,5,3]=>[2,3,1,6,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,5,4,3,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,5,4,7,3]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,5,7,3,4]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,5,7,4,3]=>[1,2,6,4,5,7,3]=>[2,3,1,5,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,7,3,4,5]=>[1,2,6,4,7,5,3]=>[2,3,1,5,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,7,3,5,4]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,7,4,3,5]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,7,4,5,3]=>[1,2,6,5,4,7,3]=>[2,3,1,6,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,7,5,3,4]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,2,7,5,4,3]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,2,4,5,7]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,2,4,7,5]=>[1,2,6,7,5,4,3]=>[2,3,1,7,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,2,5,4,7]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,2,5,7,4]=>[1,2,6,7,4,3,5]=>[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,2,7,4,5]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,2,7,5,4]=>[1,2,6,5,7,4,3]=>[2,3,1,7,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,4,2,5,7]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,4,2,7,5]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,4,5,2,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,4,5,7,2]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,4,7,2,5]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,4,7,5,2]=>[1,2,6,5,7,3,4]=>[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,5,2,4,7]=>[1,2,6,4,5,3,7]=>[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,5,2,7,4]=>[1,2,6,7,4,5,3]=>[2,3,1,6,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,5,4,2,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,5,4,7,2]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,5,7,2,4]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,5,7,4,2]=>[1,2,6,4,5,7,3]=>[2,3,1,5,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,7,2,4,5]=>[1,2,6,4,7,5,3]=>[2,3,1,5,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,7,2,5,4]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,7,4,2,5]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,7,4,5,2]=>[1,2,6,5,4,7,3]=>[2,3,1,6,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,7,5,2,4]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,3,7,5,4,2]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,2,3,5,7]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,2,3,7,5]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,2,5,3,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,2,5,7,3]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,2,7,3,5]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,2,7,5,3]=>[1,2,6,5,7,3,4]=>[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,3,2,5,7]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,3,2,7,5]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,3,5,2,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,3,5,7,2]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,3,7,2,5]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,3,7,5,2]=>[1,2,6,5,7,3,4]=>[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,5,2,3,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,5,2,7,3]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,5,3,2,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,5,3,7,2]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,5,7,2,3]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,5,7,3,2]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,7,2,3,5]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,7,2,5,3]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,7,3,2,5]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,7,3,5,2]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,7,5,2,3]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,4,7,5,3,2]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,2,3,4,7]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,2,3,7,4]=>[1,2,6,7,4,3,5]=>[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,2,4,3,7]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,2,4,7,3]=>[1,2,6,7,3,5,4]=>[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,2,7,3,4]=>[1,2,6,3,5,7,4]=>[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,2,7,4,3]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,3,2,4,7]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,3,2,7,4]=>[1,2,6,7,4,3,5]=>[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,3,4,2,7]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,3,4,7,2]=>[1,2,6,7,3,5,4]=>[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,3,7,2,4]=>[1,2,6,3,5,7,4]=>[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,3,7,4,2]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,4,2,3,7]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,4,2,7,3]=>[1,2,6,7,3,5,4]=>[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,4,3,2,7]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,4,3,7,2]=>[1,2,6,7,3,5,4]=>[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,4,7,2,3]=>[1,2,6,3,5,7,4]=>[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,4,7,3,2]=>[1,2,6,3,5,7,4]=>[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,7,2,3,4]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,7,2,4,3]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,7,3,2,4]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,7,3,4,2]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,7,4,2,3]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,5,7,4,3,2]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,2,3,4,5]=>[1,2,6,4,3,7,5]=>[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,2,3,5,4]=>[1,2,6,5,3,7,4]=>[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,2,4,3,5]=>[1,2,6,3,7,5,4]=>[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,2,4,5,3]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,2,5,3,4]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,2,5,4,3]=>[1,2,6,4,3,7,5]=>[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,3,2,4,5]=>[1,2,6,4,3,7,5]=>[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,3,2,5,4]=>[1,2,6,5,3,7,4]=>[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,3,4,2,5]=>[1,2,6,3,7,5,4]=>[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,3,4,5,2]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,3,5,2,4]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,3,5,4,2]=>[1,2,6,4,3,7,5]=>[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,4,2,3,5]=>[1,2,6,3,7,5,4]=>[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,4,2,5,3]=>[1,2,6,5,3,7,4]=>[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,4,3,2,5]=>[1,2,6,3,7,5,4]=>[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,4,3,5,2]=>[1,2,6,5,3,7,4]=>[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,4,5,2,3]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,4,5,3,2]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,5,2,3,4]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,5,2,4,3]=>[1,2,6,4,5,3,7]=>[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,5,3,2,4]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,5,3,4,2]=>[1,2,6,4,5,3,7]=>[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,5,4,2,3]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,6,7,5,4,3,2]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,4,5,6]=>[1,2,7,6,5,4,3]=>[2,3,1,7,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,4,6,5]=>[1,2,7,5,4,3,6]=>[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,5,4,6]=>[1,2,7,6,4,3,5]=>[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,5,6,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,6,4,5]=>[1,2,7,5,6,4,3]=>[2,3,1,7,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,3,6,5,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,4,3,5,6]=>[1,2,7,6,5,3,4]=>[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,4,3,6,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,4,5,3,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,4,5,6,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,4,6,3,5]=>[1,2,7,5,6,3,4]=>[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,4,6,5,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,5,3,4,6]=>[1,2,7,6,4,5,3]=>[2,3,1,6,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,5,3,6,4]=>[1,2,7,4,5,3,6]=>[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,5,4,3,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,5,4,6,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,5,6,3,4]=>[1,2,7,4,5,6,3]=>[2,3,1,5,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,5,6,4,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,6,3,4,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,6,3,5,4]=>[1,2,7,4,6,5,3]=>[2,3,1,5,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,6,4,3,5]=>[1,2,7,5,4,6,3]=>[2,3,1,6,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,6,4,5,3]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,6,5,3,4]=>[1,2,7,4,6,3,5]=>[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,2,6,5,4,3]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,2,4,5,6]=>[1,2,7,6,5,4,3]=>[2,3,1,7,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,2,4,6,5]=>[1,2,7,5,4,3,6]=>[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,2,5,4,6]=>[1,2,7,6,4,3,5]=>[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,2,5,6,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,2,6,4,5]=>[1,2,7,5,6,4,3]=>[2,3,1,7,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,2,6,5,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,4,2,5,6]=>[1,2,7,6,5,3,4]=>[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,4,2,6,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,4,5,2,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,4,5,6,2]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,4,6,2,5]=>[1,2,7,5,6,3,4]=>[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,4,6,5,2]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,5,2,4,6]=>[1,2,7,6,4,5,3]=>[2,3,1,6,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,5,2,6,4]=>[1,2,7,4,5,3,6]=>[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,5,4,2,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,5,4,6,2]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,5,6,2,4]=>[1,2,7,4,5,6,3]=>[2,3,1,5,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,5,6,4,2]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,6,2,4,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,6,2,5,4]=>[1,2,7,4,6,5,3]=>[2,3,1,5,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,6,4,2,5]=>[1,2,7,5,4,6,3]=>[2,3,1,6,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,6,4,5,2]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,6,5,2,4]=>[1,2,7,4,6,3,5]=>[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,3,6,5,4,2]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,2,3,5,6]=>[1,2,7,6,5,3,4]=>[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,2,3,6,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,2,5,3,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,2,5,6,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,2,6,3,5]=>[1,2,7,5,6,3,4]=>[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,2,6,5,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,3,2,5,6]=>[1,2,7,6,5,3,4]=>[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,3,2,6,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,3,5,2,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,3,5,6,2]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,3,6,2,5]=>[1,2,7,5,6,3,4]=>[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,3,6,5,2]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,5,2,3,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,5,2,6,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,5,3,2,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,5,3,6,2]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,5,6,2,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,5,6,3,2]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,6,2,3,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,6,2,5,3]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,6,3,2,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,6,3,5,2]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,6,5,2,3]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,4,6,5,3,2]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,2,3,4,6]=>[1,2,7,6,4,3,5]=>[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,2,3,6,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,2,4,3,6]=>[1,2,7,6,3,5,4]=>[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,2,4,6,3]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,2,6,3,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,2,6,4,3]=>[1,2,7,3,5,6,4]=>[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,3,2,4,6]=>[1,2,7,6,4,3,5]=>[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,3,2,6,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,3,4,2,6]=>[1,2,7,6,3,5,4]=>[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,3,4,6,2]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,3,6,2,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,3,6,4,2]=>[1,2,7,3,5,6,4]=>[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,4,2,3,6]=>[1,2,7,6,3,5,4]=>[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,4,2,6,3]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,4,3,2,6]=>[1,2,7,6,3,5,4]=>[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,4,3,6,2]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,4,6,2,3]=>[1,2,7,3,5,6,4]=>[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,4,6,3,2]=>[1,2,7,3,5,6,4]=>[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,6,2,3,4]=>[1,2,7,4,6,3,5]=>[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,6,2,4,3]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,6,3,2,4]=>[1,2,7,4,6,3,5]=>[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,6,3,4,2]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,6,4,2,3]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,5,6,4,3,2]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,2,3,4,5]=>[1,2,7,5,3,6,4]=>[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,2,3,5,4]=>[1,2,7,4,3,6,5]=>[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,2,4,3,5]=>[1,2,7,5,4,3,6]=>[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,2,4,5,3]=>[1,2,7,3,6,5,4]=>[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,2,5,3,4]=>[1,2,7,4,3,6,5]=>[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,2,5,4,3]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,3,2,4,5]=>[1,2,7,5,3,6,4]=>[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,3,2,5,4]=>[1,2,7,4,3,6,5]=>[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,3,4,2,5]=>[1,2,7,5,4,3,6]=>[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,3,4,5,2]=>[1,2,7,3,6,5,4]=>[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,3,5,2,4]=>[1,2,7,4,3,6,5]=>[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,3,5,4,2]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,4,2,3,5]=>[1,2,7,5,3,6,4]=>[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,4,2,5,3]=>[1,2,7,3,6,5,4]=>[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,4,3,2,5]=>[1,2,7,5,3,6,4]=>[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,4,3,5,2]=>[1,2,7,3,6,5,4]=>[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,4,5,2,3]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,4,5,3,2]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,5,2,3,4]=>[1,2,7,4,5,3,6]=>[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,5,2,4,3]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,5,3,2,4]=>[1,2,7,4,5,3,6]=>[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,5,3,4,2]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,5,4,2,3]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[1,7,6,5,4,3,2]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,5,7]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,3,7,5,4]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,3,5,7]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,4,7,5,3]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,3,5,4]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,4,5,3]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,1,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,4,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,4,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,4,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,6,4,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,6,7,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,7,4,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,5,7,6,4]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,4,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,4,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,5,4,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,5,7,4]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,7,4,5]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,6,7,5,4]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,4,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,4,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,5,4,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,5,6,4]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,6,4,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,1,7,6,5,4]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,1,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,1,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,1,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,6,1,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,7,1,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,1,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,1,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,5,1,7]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,5,7,1]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,7,1,5]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,6,7,5,1]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,1,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,1,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,5,1,6]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,6,1,5]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>[2,3,4,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,4,6,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,4,7,6]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,6,4,7]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,6,7,4]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,7,4,6]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,1,7,6,4]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,1,6,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,1,7,6]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,6,1,7]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,6,7,1]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,7,1,6]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,4,7,6,1]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,1,4,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,1,7,4]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,4,1,7]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,4,7,1]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,7,1,4]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,6,7,4,1]=>[1,2,3,5,7,4,6]=>[2,3,4,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,1,4,6]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,1,6,4]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,4,1,6]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,4,6,1]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,6,1,4]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,5,7,6,4,1]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,4,5,7]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,4,7,5]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,5,4,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,5,7,4]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,7,4,5]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,1,7,5,4]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,1,5,7]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,1,7,5]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,5,1,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,5,7,1]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,7,1,5]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,4,7,5,1]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,1,4,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,1,7,4]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,4,1,7]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,4,7,1]=>[1,2,3,6,7,4,5]=>[2,3,4,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,7,1,4]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>[2,3,4,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,1,4,5]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,1,5,4]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,4,1,5]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,4,5,1]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,5,1,4]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,6,7,5,4,1]=>[1,2,3,6,4,7,5]=>[2,3,4,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,4,5,6]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,4,6,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,5,4,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,5,6,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,6,4,5]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,1,6,5,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,1,5,6]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,1,6,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,5,1,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,6,1,5]=>[1,2,3,7,5,6,4]=>[2,3,4,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,4,6,5,1]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,1,4,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,1,6,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,4,1,6]=>[1,2,3,7,6,4,5]=>[2,3,4,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,4,6,1]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,6,1,4]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>[2,3,4,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,1,4,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,1,5,4]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,4,1,5]=>[1,2,3,7,5,4,6]=>[2,3,4,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,4,5,1]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,5,1,4]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,3,7,6,5,4,1]=>[1,2,3,7,4,6,5]=>[2,3,4,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,5,6,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,5,7,6]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,6,5,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,6,7,5]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,7,5,6]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,3,7,6,5]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,3,6,7]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,3,7,6]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,6,3,7]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,6,7,3]=>[1,2,4,5,6,7,3]=>[2,3,1,4,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,7,3,6]=>[1,2,4,5,7,6,3]=>[2,3,1,4,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,5,7,6,3]=>[1,2,4,5,7,3,6]=>[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,3,5,7]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,3,7,5]=>[1,2,4,6,7,5,3]=>[2,3,1,4,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,5,3,7]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,5,7,3]=>[1,2,4,6,7,3,5]=>[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,7,3,5]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,6,7,5,3]=>[1,2,4,6,5,7,3]=>[2,3,1,4,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,3,5,6]=>[1,2,4,7,6,5,3]=>[2,3,1,4,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,3,6,5]=>[1,2,4,7,5,3,6]=>[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,5,3,6]=>[1,2,4,7,6,3,5]=>[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,5,6,3]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,6,3,5]=>[1,2,4,7,5,6,3]=>[2,3,1,4,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,1,7,6,5,3]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,5,6,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,5,7,6]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,6,5,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,6,7,5]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,7,5,6]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,1,7,6,5]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,1,6,7]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,1,7,6]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,6,1,7]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,6,7,1]=>[1,2,4,5,6,7,3]=>[2,3,1,4,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,7,1,6]=>[1,2,4,5,7,6,3]=>[2,3,1,4,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,5,7,6,1]=>[1,2,4,5,7,3,6]=>[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,1,5,7]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,1,7,5]=>[1,2,4,6,7,5,3]=>[2,3,1,4,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,5,1,7]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,5,7,1]=>[1,2,4,6,7,3,5]=>[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,7,1,5]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,6,7,5,1]=>[1,2,4,6,5,7,3]=>[2,3,1,4,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,1,5,6]=>[1,2,4,7,6,5,3]=>[2,3,1,4,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,1,6,5]=>[1,2,4,7,5,3,6]=>[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,5,1,6]=>[1,2,4,7,6,3,5]=>[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,5,6,1]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,6,1,5]=>[1,2,4,7,5,6,3]=>[2,3,1,4,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,3,7,6,5,1]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,3,6,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,3,7,6]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,6,3,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,6,7,3]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,7,3,6]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,1,7,6,3]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,1,6,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,1,7,6]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,6,1,7]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,6,7,1]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,7,1,6]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,3,7,6,1]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,1,3,7]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,1,7,3]=>[1,2,4,6,7,3,5]=>[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,3,1,7]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,3,7,1]=>[1,2,4,6,7,3,5]=>[2,3,7,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,7,1,3]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,6,7,3,1]=>[1,2,4,6,3,5,7]=>[2,3,6,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,1,3,6]=>[1,2,4,7,6,3,5]=>[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,1,6,3]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,3,1,6]=>[1,2,4,7,6,3,5]=>[2,3,7,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,3,6,1]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,6,1,3]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,5,7,6,3,1]=>[1,2,4,7,3,5,6]=>[2,3,6,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,3,5,7]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,3,7,5]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,5,3,7]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,5,7,3]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,7,3,5]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,1,7,5,3]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,1,5,7]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,1,7,5]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,5,1,7]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,5,7,1]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,7,1,5]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,3,7,5,1]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,1,3,7]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,1,7,3]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,3,1,7]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,3,7,1]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,7,1,3]=>[1,2,4,5,7,3,6]=>[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,5,7,3,1]=>[1,2,4,5,7,3,6]=>[2,3,7,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,1,3,5]=>[1,2,4,7,5,3,6]=>[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,1,5,3]=>[1,2,4,7,3,6,5]=>[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,3,1,5]=>[1,2,4,7,5,3,6]=>[2,3,7,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,3,5,1]=>[1,2,4,7,3,6,5]=>[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,5,1,3]=>[1,2,4,7,3,6,5]=>[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,6,7,5,3,1]=>[1,2,4,7,3,6,5]=>[2,3,6,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,3,5,6]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,3,6,5]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,5,3,6]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,5,6,3]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,6,3,5]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,1,6,5,3]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,1,5,6]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,1,6,5]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,5,1,6]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,5,6,1]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,6,1,5]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,3,6,5,1]=>[1,2,4,3,7,5,6]=>[2,3,5,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,1,3,6]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,1,6,3]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,3,1,6]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,3,6,1]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,6,1,3]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,5,6,3,1]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,1,3,5]=>[1,2,4,6,3,7,5]=>[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,1,5,3]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,3,1,5]=>[1,2,4,6,3,7,5]=>[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,3,5,1]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,5,1,3]=>[1,2,4,6,3,7,5]=>[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,4,7,6,5,3,1]=>[1,2,4,6,3,7,5]=>[2,3,6,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,4,6,7]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,4,7,6]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,6,4,7]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,6,7,4]=>[1,2,5,6,7,4,3]=>[2,3,1,7,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,7,4,6]=>[1,2,5,7,6,4,3]=>[2,3,1,7,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,3,7,6,4]=>[1,2,5,7,4,3,6]=>[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,3,6,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,3,7,6]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,6,3,7]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,6,7,3]=>[1,2,5,6,7,3,4]=>[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,7,3,6]=>[1,2,5,7,6,3,4]=>[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,4,7,6,3]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,3,4,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,3,7,4]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,4,3,7]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,4,7,3]=>[1,2,5,4,6,7,3]=>[2,3,1,5,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,7,3,4]=>[1,2,5,7,4,6,3]=>[2,3,1,6,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,6,7,4,3]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,3,4,6]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,3,6,4]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,4,3,6]=>[1,2,5,4,7,6,3]=>[2,3,1,5,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,4,6,3]=>[1,2,5,4,7,3,6]=>[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,6,3,4]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,1,7,6,4,3]=>[1,2,5,6,4,7,3]=>[2,3,1,6,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,4,6,7]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,4,7,6]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,6,4,7]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,6,7,4]=>[1,2,5,6,7,4,3]=>[2,3,1,7,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,7,4,6]=>[1,2,5,7,6,4,3]=>[2,3,1,7,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,1,7,6,4]=>[1,2,5,7,4,3,6]=>[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,1,6,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,1,7,6]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,6,1,7]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,6,7,1]=>[1,2,5,6,7,3,4]=>[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,7,1,6]=>[1,2,5,7,6,3,4]=>[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,4,7,6,1]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,1,4,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,1,7,4]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,4,1,7]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,4,7,1]=>[1,2,5,4,6,7,3]=>[2,3,1,5,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,7,1,4]=>[1,2,5,7,4,6,3]=>[2,3,1,6,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,6,7,4,1]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,1,4,6]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,1,6,4]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,4,1,6]=>[1,2,5,4,7,6,3]=>[2,3,1,5,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,4,6,1]=>[1,2,5,4,7,3,6]=>[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,6,1,4]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,3,7,6,4,1]=>[1,2,5,6,4,7,3]=>[2,3,1,6,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,3,6,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,3,7,6]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,6,3,7]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,6,7,3]=>[1,2,5,6,7,3,4]=>[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,7,3,6]=>[1,2,5,7,6,3,4]=>[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,1,7,6,3]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,1,6,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,1,7,6]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,6,1,7]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,6,7,1]=>[1,2,5,6,7,3,4]=>[2,3,7,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,7,1,6]=>[1,2,5,7,6,3,4]=>[2,3,7,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,3,7,6,1]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,1,3,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,1,7,3]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,3,1,7]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,3,7,1]=>[1,2,5,3,4,6,7]=>[2,3,5,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,7,1,3]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,6,7,3,1]=>[1,2,5,7,3,4,6]=>[2,3,6,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,1,3,6]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,1,6,3]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,3,1,6]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,3,6,1]=>[1,2,5,3,4,7,6]=>[2,3,5,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,6,1,3]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,4,7,6,3,1]=>[1,2,5,6,3,4,7]=>[2,3,6,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,3,4,7]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,3,7,4]=>[1,2,5,3,6,7,4]=>[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,4,3,7]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,4,7,3]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,7,3,4]=>[1,2,5,7,4,3,6]=>[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,1,7,4,3]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,1,4,7]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,1,7,4]=>[1,2,5,3,6,7,4]=>[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,4,1,7]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,4,7,1]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,7,1,4]=>[1,2,5,7,4,3,6]=>[2,3,7,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,3,7,4,1]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,1,3,7]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,1,7,3]=>[1,2,5,3,6,7,4]=>[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,3,1,7]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,3,7,1]=>[1,2,5,3,6,7,4]=>[2,3,5,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,7,1,3]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,4,7,3,1]=>[1,2,5,7,3,6,4]=>[2,3,6,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,1,3,4]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,1,4,3]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,3,1,4]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,3,4,1]=>[1,2,5,3,6,4,7]=>[2,3,5,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,4,1,3]=>[1,2,5,4,7,3,6]=>[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,6,7,4,3,1]=>[1,2,5,4,7,3,6]=>[2,3,7,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,3,4,6]=>[1,2,5,3,7,6,4]=>[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,3,6,4]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,4,3,6]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,4,6,3]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,6,3,4]=>[1,2,5,6,3,7,4]=>[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,1,6,4,3]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,1,4,6]=>[1,2,5,3,7,6,4]=>[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,1,6,4]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,4,1,6]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,4,6,1]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,6,1,4]=>[1,2,5,6,3,7,4]=>[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,3,6,4,1]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,1,3,6]=>[1,2,5,3,7,6,4]=>[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,1,6,3]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,3,1,6]=>[1,2,5,3,7,6,4]=>[2,3,5,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,3,6,1]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,6,1,3]=>[1,2,5,6,3,7,4]=>[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,4,6,3,1]=>[1,2,5,6,3,7,4]=>[2,3,6,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,1,3,4]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,1,4,3]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,3,1,4]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,3,4,1]=>[1,2,5,3,7,4,6]=>[2,3,5,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,4,1,3]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,5,7,6,4,3,1]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,4,5,7]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,4,7,5]=>[1,2,6,7,5,4,3]=>[2,3,1,7,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,5,4,7]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,5,7,4]=>[1,2,6,7,4,3,5]=>[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,7,4,5]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,3,7,5,4]=>[1,2,6,5,7,4,3]=>[2,3,1,7,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,3,5,7]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,3,7,5]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,5,3,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,5,7,3]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,7,3,5]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,4,7,5,3]=>[1,2,6,5,7,3,4]=>[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,3,4,7]=>[1,2,6,4,5,3,7]=>[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,3,7,4]=>[1,2,6,7,4,5,3]=>[2,3,1,6,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,4,3,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,4,7,3]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,7,3,4]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,5,7,4,3]=>[1,2,6,4,5,7,3]=>[2,3,1,5,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,3,4,5]=>[1,2,6,4,7,5,3]=>[2,3,1,5,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,3,5,4]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,4,3,5]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,4,5,3]=>[1,2,6,5,4,7,3]=>[2,3,1,6,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,5,3,4]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,1,7,5,4,3]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,4,5,7]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,4,7,5]=>[1,2,6,7,5,4,3]=>[2,3,1,7,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,5,4,7]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,5,7,4]=>[1,2,6,7,4,3,5]=>[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,7,4,5]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,1,7,5,4]=>[1,2,6,5,7,4,3]=>[2,3,1,7,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,1,5,7]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,1,7,5]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,5,1,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,5,7,1]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,7,1,5]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,4,7,5,1]=>[1,2,6,5,7,3,4]=>[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,1,4,7]=>[1,2,6,4,5,3,7]=>[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,1,7,4]=>[1,2,6,7,4,5,3]=>[2,3,1,6,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,4,1,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,4,7,1]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,7,1,4]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,5,7,4,1]=>[1,2,6,4,5,7,3]=>[2,3,1,5,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,1,4,5]=>[1,2,6,4,7,5,3]=>[2,3,1,5,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,1,5,4]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,4,1,5]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,4,5,1]=>[1,2,6,5,4,7,3]=>[2,3,1,6,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,5,1,4]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,3,7,5,4,1]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,3,5,7]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,3,7,5]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,5,3,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,5,7,3]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,7,3,5]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,1,7,5,3]=>[1,2,6,5,7,3,4]=>[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,1,5,7]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,1,7,5]=>[1,2,6,7,5,3,4]=>[2,3,7,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,5,1,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,5,7,1]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,7,1,5]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,3,7,5,1]=>[1,2,6,5,7,3,4]=>[2,3,7,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,1,3,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,1,7,3]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,3,1,7]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,3,7,1]=>[1,2,6,7,3,4,5]=>[2,3,6,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,7,1,3]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>[2,3,5,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,1,3,5]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,1,5,3]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,3,1,5]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,3,5,1]=>[1,2,6,5,3,4,7]=>[2,3,6,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,5,1,3]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>[2,3,5,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,3,4,7]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,3,7,4]=>[1,2,6,7,4,3,5]=>[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,4,3,7]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,4,7,3]=>[1,2,6,7,3,5,4]=>[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,7,3,4]=>[1,2,6,3,5,7,4]=>[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,1,7,4,3]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,1,4,7]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,1,7,4]=>[1,2,6,7,4,3,5]=>[2,3,7,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,4,1,7]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,4,7,1]=>[1,2,6,7,3,5,4]=>[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,7,1,4]=>[1,2,6,3,5,7,4]=>[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,3,7,4,1]=>[1,2,6,4,3,5,7]=>[2,3,6,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,1,3,7]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,1,7,3]=>[1,2,6,7,3,5,4]=>[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,3,1,7]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,3,7,1]=>[1,2,6,7,3,5,4]=>[2,3,6,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,7,1,3]=>[1,2,6,3,5,7,4]=>[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,4,7,3,1]=>[1,2,6,3,5,7,4]=>[2,3,5,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,1,3,4]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,1,4,3]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,3,1,4]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,3,4,1]=>[1,2,6,4,7,3,5]=>[2,3,7,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,4,1,3]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,5,7,4,3,1]=>[1,2,6,3,5,4,7]=>[2,3,5,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,3,4,5]=>[1,2,6,4,3,7,5]=>[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,3,5,4]=>[1,2,6,5,3,7,4]=>[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,4,3,5]=>[1,2,6,3,7,5,4]=>[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,4,5,3]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,5,3,4]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,1,5,4,3]=>[1,2,6,4,3,7,5]=>[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,1,4,5]=>[1,2,6,4,3,7,5]=>[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,1,5,4]=>[1,2,6,5,3,7,4]=>[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,4,1,5]=>[1,2,6,3,7,5,4]=>[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,4,5,1]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,5,1,4]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,3,5,4,1]=>[1,2,6,4,3,7,5]=>[2,3,6,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,1,3,5]=>[1,2,6,3,7,5,4]=>[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,1,5,3]=>[1,2,6,5,3,7,4]=>[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,3,1,5]=>[1,2,6,3,7,5,4]=>[2,3,5,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,3,5,1]=>[1,2,6,5,3,7,4]=>[2,3,6,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,5,1,3]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,4,5,3,1]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,1,3,4]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,1,4,3]=>[1,2,6,4,5,3,7]=>[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,3,1,4]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,3,4,1]=>[1,2,6,4,5,3,7]=>[2,3,7,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,4,1,3]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,6,7,5,4,3,1]=>[1,2,6,3,7,4,5]=>[2,3,5,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,4,5,6]=>[1,2,7,6,5,4,3]=>[2,3,1,7,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,4,6,5]=>[1,2,7,5,4,3,6]=>[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,5,4,6]=>[1,2,7,6,4,3,5]=>[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,5,6,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,6,4,5]=>[1,2,7,5,6,4,3]=>[2,3,1,7,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,3,6,5,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,3,5,6]=>[1,2,7,6,5,3,4]=>[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,3,6,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,5,3,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,5,6,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,6,3,5]=>[1,2,7,5,6,3,4]=>[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,4,6,5,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,3,4,6]=>[1,2,7,6,4,5,3]=>[2,3,1,6,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,3,6,4]=>[1,2,7,4,5,3,6]=>[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,4,3,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,4,6,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,6,3,4]=>[1,2,7,4,5,6,3]=>[2,3,1,5,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,5,6,4,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,3,4,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,3,5,4]=>[1,2,7,4,6,5,3]=>[2,3,1,5,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,4,3,5]=>[1,2,7,5,4,6,3]=>[2,3,1,6,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,4,5,3]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,5,3,4]=>[1,2,7,4,6,3,5]=>[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,1,6,5,4,3]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,4,5,6]=>[1,2,7,6,5,4,3]=>[2,3,1,7,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,4,6,5]=>[1,2,7,5,4,3,6]=>[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,5,4,6]=>[1,2,7,6,4,3,5]=>[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,5,6,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,6,4,5]=>[1,2,7,5,6,4,3]=>[2,3,1,7,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,1,6,5,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,1,5,6]=>[1,2,7,6,5,3,4]=>[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,1,6,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,5,1,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,6,1,5]=>[1,2,7,5,6,3,4]=>[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,4,6,5,1]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,1,4,6]=>[1,2,7,6,4,5,3]=>[2,3,1,6,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,1,6,4]=>[1,2,7,4,5,3,6]=>[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,4,1,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,4,6,1]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,6,1,4]=>[1,2,7,4,5,6,3]=>[2,3,1,5,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,5,6,4,1]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,1,4,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,1,5,4]=>[1,2,7,4,6,5,3]=>[2,3,1,5,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,4,1,5]=>[1,2,7,5,4,6,3]=>[2,3,1,6,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,4,5,1]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,5,1,4]=>[1,2,7,4,6,3,5]=>[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,3,6,5,4,1]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,3,5,6]=>[1,2,7,6,5,3,4]=>[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,3,6,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,5,3,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,5,6,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,6,3,5]=>[1,2,7,5,6,3,4]=>[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,1,6,5,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,1,5,6]=>[1,2,7,6,5,3,4]=>[2,3,7,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,1,6,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,5,1,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,5,6,1]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,6,1,5]=>[1,2,7,5,6,3,4]=>[2,3,7,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,3,6,5,1]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,1,3,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,1,6,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,3,1,6]=>[1,2,7,6,3,4,5]=>[2,3,6,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,3,6,1]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,6,1,3]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>[2,3,5,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,1,3,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,1,5,3]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,3,1,5]=>[1,2,7,5,3,4,6]=>[2,3,6,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,3,5,1]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,5,1,3]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>[2,3,5,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,3,4,6]=>[1,2,7,6,4,3,5]=>[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,3,6,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,4,3,6]=>[1,2,7,6,3,5,4]=>[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,4,6,3]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,6,3,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,1,6,4,3]=>[1,2,7,3,5,6,4]=>[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,1,4,6]=>[1,2,7,6,4,3,5]=>[2,3,7,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,1,6,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,4,1,6]=>[1,2,7,6,3,5,4]=>[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,4,6,1]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,6,1,4]=>[1,2,7,4,3,5,6]=>[2,3,6,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,3,6,4,1]=>[1,2,7,3,5,6,4]=>[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,1,3,6]=>[1,2,7,6,3,5,4]=>[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,1,6,3]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,3,1,6]=>[1,2,7,6,3,5,4]=>[2,3,6,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,3,6,1]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,6,1,3]=>[1,2,7,3,5,6,4]=>[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,4,6,3,1]=>[1,2,7,3,5,6,4]=>[2,3,5,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,1,3,4]=>[1,2,7,4,6,3,5]=>[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,1,4,3]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,3,1,4]=>[1,2,7,4,6,3,5]=>[2,3,7,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,3,4,1]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,4,1,3]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,5,6,4,3,1]=>[1,2,7,3,5,4,6]=>[2,3,5,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,3,4,5]=>[1,2,7,5,3,6,4]=>[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,3,5,4]=>[1,2,7,4,3,6,5]=>[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,4,3,5]=>[1,2,7,5,4,3,6]=>[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,4,5,3]=>[1,2,7,3,6,5,4]=>[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,5,3,4]=>[1,2,7,4,3,6,5]=>[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,1,5,4,3]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,1,4,5]=>[1,2,7,5,3,6,4]=>[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,1,5,4]=>[1,2,7,4,3,6,5]=>[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,4,1,5]=>[1,2,7,5,4,3,6]=>[2,3,7,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,4,5,1]=>[1,2,7,3,6,5,4]=>[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,5,1,4]=>[1,2,7,4,3,6,5]=>[2,3,6,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,3,5,4,1]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,1,3,5]=>[1,2,7,5,3,6,4]=>[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,1,5,3]=>[1,2,7,3,6,5,4]=>[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,3,1,5]=>[1,2,7,5,3,6,4]=>[2,3,6,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,3,5,1]=>[1,2,7,3,6,5,4]=>[2,3,5,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,5,1,3]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,4,5,3,1]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,1,3,4]=>[1,2,7,4,5,3,6]=>[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,1,4,3]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,3,1,4]=>[1,2,7,4,5,3,6]=>[2,3,7,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,3,4,1]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,4,1,3]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[2,7,6,5,4,3,1]=>[1,2,7,3,6,4,5]=>[2,3,5,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,5,7,6]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,6,5,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,6,7,5]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,7,5,6]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,4,7,6,5]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,4,6,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,4,7,6]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,6,4,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,6,7,4]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,7,4,6]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,5,7,6,4]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,4,5,7]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,4,7,5]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,5,4,7]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,5,7,4]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,7,4,5]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,6,7,5,4]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,4,5,6]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,4,6,5]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,5,4,6]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,5,6,4]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,6,4,5]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,2,7,6,5,4]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,5,7,6]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,6,5,7]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,6,7,5]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,7,5,6]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,2,7,6,5]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,2,7,6]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>[2,7,3,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[2,1,3,4,5,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,7,2,6]=>[1,3,4,5,7,6,2]=>[2,1,3,4,5,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>[2,7,3,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,2,5,7]=>[1,3,4,6,5,2,7]=>[2,7,3,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,2,7,5]=>[1,3,4,6,7,5,2]=>[2,1,3,4,7,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,5,2,7]=>[1,3,4,6,2,5,7]=>[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,5,7,2]=>[1,3,4,6,7,2,5]=>[2,7,3,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,7,2,5]=>[1,3,4,6,2,5,7]=>[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,6,7,5,2]=>[1,3,4,6,5,7,2]=>[2,1,3,4,6,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,2,5,6]=>[1,3,4,7,6,5,2]=>[2,1,3,4,7,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,2,6,5]=>[1,3,4,7,5,2,6]=>[2,7,3,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,5,2,6]=>[1,3,4,7,6,2,5]=>[2,7,3,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,6,2,5]=>[1,3,4,7,5,6,2]=>[2,1,3,4,6,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,4,6,7]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,4,7,6]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,6,4,7]=>[1,3,5,6,4,2,7]=>[2,7,3,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,6,7,4]=>[1,3,5,6,7,4,2]=>[2,1,3,7,4,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,7,4,6]=>[1,3,5,7,6,4,2]=>[2,1,3,7,4,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,2,7,6,4]=>[1,3,5,7,4,2,6]=>[2,7,3,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,2,6,7]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,2,7,6]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,6,2,7]=>[1,3,5,6,2,4,7]=>[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,6,7,2]=>[1,3,5,6,7,2,4]=>[2,7,3,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,7,2,6]=>[1,3,5,7,6,2,4]=>[2,7,3,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,4,7,6,2]=>[1,3,5,7,2,4,6]=>[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,2,4,7]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,2,7,4]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,4,2,7]=>[1,3,5,4,6,2,7]=>[2,7,3,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,4,7,2]=>[1,3,5,4,6,7,2]=>[2,1,3,5,4,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,7,2,4]=>[1,3,5,7,4,6,2]=>[2,1,3,6,4,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,6,7,4,2]=>[1,3,5,7,2,4,6]=>[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,2,4,6]=>[1,3,5,2,4,7,6]=>[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,2,6,4]=>[1,3,5,2,4,7,6]=>[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,4,2,6]=>[1,3,5,4,7,6,2]=>[2,1,3,5,4,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,4,6,2]=>[1,3,5,4,7,2,6]=>[2,7,3,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,6,2,4]=>[1,3,5,6,2,4,7]=>[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,5,7,6,4,2]=>[1,3,5,6,4,7,2]=>[2,1,3,6,4,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,4,5,7]=>[1,3,6,5,4,2,7]=>[2,7,3,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,4,7,5]=>[1,3,6,7,5,4,2]=>[2,1,3,7,6,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,5,4,7]=>[1,3,6,4,2,5,7]=>[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,5,7,4]=>[1,3,6,7,4,2,5]=>[2,7,3,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,7,4,5]=>[1,3,6,4,2,5,7]=>[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,2,7,5,4]=>[1,3,6,5,7,4,2]=>[2,1,3,7,5,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,2,5,7]=>[1,3,6,5,2,4,7]=>[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,2,7,5]=>[1,3,6,7,5,2,4]=>[2,7,3,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,5,2,7]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,5,7,2]=>[1,3,6,7,2,4,5]=>[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,7,2,5]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,4,7,5,2]=>[1,3,6,5,7,2,4]=>[2,7,3,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,2,4,7]=>[1,3,6,4,5,2,7]=>[2,7,3,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,2,7,4]=>[1,3,6,7,4,5,2]=>[2,1,3,6,7,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,4,2,7]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,4,7,2]=>[1,3,6,7,2,4,5]=>[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,5,7,4,2]=>[1,3,6,4,5,7,2]=>[2,1,3,5,6,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,2,4,5]=>[1,3,6,4,7,5,2]=>[2,1,3,5,7,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,2,5,4]=>[1,3,6,5,2,4,7]=>[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,4,2,5]=>[1,3,6,2,4,7,5]=>[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,4,5,2]=>[1,3,6,5,4,7,2]=>[2,1,3,6,5,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,5,2,4]=>[1,3,6,2,4,7,5]=>[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,6,7,5,4,2]=>[1,3,6,4,7,2,5]=>[2,7,3,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,4,5,6]=>[1,3,7,6,5,4,2]=>[2,1,3,7,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,4,6,5]=>[1,3,7,5,4,2,6]=>[2,7,3,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,5,4,6]=>[1,3,7,6,4,2,5]=>[2,7,3,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,5,6,4]=>[1,3,7,4,2,5,6]=>[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,6,4,5]=>[1,3,7,5,6,4,2]=>[2,1,3,7,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,2,6,5,4]=>[1,3,7,4,2,5,6]=>[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,2,5,6]=>[1,3,7,6,5,2,4]=>[2,7,3,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,2,6,5]=>[1,3,7,5,2,4,6]=>[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,5,2,6]=>[1,3,7,6,2,4,5]=>[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,6,2,5]=>[1,3,7,5,6,2,4]=>[2,7,3,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,4,6,5,2]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,2,4,6]=>[1,3,7,6,4,5,2]=>[2,1,3,6,7,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,2,6,4]=>[1,3,7,4,5,2,6]=>[2,7,3,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,4,2,6]=>[1,3,7,6,2,4,5]=>[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,4,6,2]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,6,2,4]=>[1,3,7,4,5,6,2]=>[2,1,3,5,6,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,2,4,5]=>[1,3,7,5,2,4,6]=>[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,2,5,4]=>[1,3,7,4,6,5,2]=>[2,1,3,5,7,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,4,2,5]=>[1,3,7,5,4,6,2]=>[2,1,3,6,5,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,4,5,2]=>[1,3,7,2,4,6,5]=>[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,5,2,4]=>[1,3,7,4,6,2,5]=>[2,7,3,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,1,7,6,5,4,2]=>[1,3,7,2,4,6,5]=>[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,4,5,7,6]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,4,6,5,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,4,6,7,5]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,4,7,5,6]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,4,7,6,5]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,5,4,6,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,5,4,7,6]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,5,6,4,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,5,6,7,4]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,5,7,4,6]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,5,7,6,4]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,6,4,5,7]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,6,4,7,5]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,6,5,4,7]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,6,5,7,4]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,6,7,4,5]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,6,7,5,4]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,7,4,5,6]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,7,4,6,5]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,7,5,4,6]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,7,5,6,4]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,7,6,4,5]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,1,7,6,5,4]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,1,5,6,7]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,1,5,7,6]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,1,6,5,7]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,1,6,7,5]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,1,7,5,6]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,1,7,6,5]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,5,1,6,7]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,5,1,7,6]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,5,6,1,7]=>[1,3,4,5,6,2,7]=>[2,7,3,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,5,6,7,1]=>[1,3,4,5,6,7,2]=>[2,1,3,4,5,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,5,7,1,6]=>[1,3,4,5,7,6,2]=>[2,1,3,4,5,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,5,7,6,1]=>[1,3,4,5,7,2,6]=>[2,7,3,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,6,1,5,7]=>[1,3,4,6,5,2,7]=>[2,7,3,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,6,1,7,5]=>[1,3,4,6,7,5,2]=>[2,1,3,4,7,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,6,5,1,7]=>[1,3,4,6,2,5,7]=>[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,6,5,7,1]=>[1,3,4,6,7,2,5]=>[2,7,3,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,6,7,1,5]=>[1,3,4,6,2,5,7]=>[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,6,7,5,1]=>[1,3,4,6,5,7,2]=>[2,1,3,4,6,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,7,1,5,6]=>[1,3,4,7,6,5,2]=>[2,1,3,4,7,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,7,1,6,5]=>[1,3,4,7,5,2,6]=>[2,7,3,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,7,5,1,6]=>[1,3,4,7,6,2,5]=>[2,7,3,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,7,5,6,1]=>[1,3,4,7,2,5,6]=>[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,7,6,1,5]=>[1,3,4,7,5,6,2]=>[2,1,3,4,6,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,4,7,6,5,1]=>[1,3,4,7,2,5,6]=>[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,1,4,6,7]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,1,4,7,6]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,1,6,4,7]=>[1,3,5,6,4,2,7]=>[2,7,3,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,1,6,7,4]=>[1,3,5,6,7,4,2]=>[2,1,3,7,4,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,1,7,4,6]=>[1,3,5,7,6,4,2]=>[2,1,3,7,4,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,1,7,6,4]=>[1,3,5,7,4,2,6]=>[2,7,3,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,4,1,6,7]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,4,1,7,6]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,4,6,1,7]=>[1,3,5,6,2,4,7]=>[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,4,6,7,1]=>[1,3,5,6,7,2,4]=>[2,7,3,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,4,7,1,6]=>[1,3,5,7,6,2,4]=>[2,7,3,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,4,7,6,1]=>[1,3,5,7,2,4,6]=>[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,6,1,4,7]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,6,1,7,4]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,6,4,1,7]=>[1,3,5,4,6,2,7]=>[2,7,3,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,6,4,7,1]=>[1,3,5,4,6,7,2]=>[2,1,3,5,4,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,6,7,1,4]=>[1,3,5,7,4,6,2]=>[2,1,3,6,4,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,6,7,4,1]=>[1,3,5,7,2,4,6]=>[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,7,1,4,6]=>[1,3,5,2,4,7,6]=>[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,7,1,6,4]=>[1,3,5,2,4,7,6]=>[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,7,4,1,6]=>[1,3,5,4,7,6,2]=>[2,1,3,5,4,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,7,4,6,1]=>[1,3,5,4,7,2,6]=>[2,7,3,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,7,6,1,4]=>[1,3,5,6,2,4,7]=>[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,5,7,6,4,1]=>[1,3,5,6,4,7,2]=>[2,1,3,6,4,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,1,4,5,7]=>[1,3,6,5,4,2,7]=>[2,7,3,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,1,4,7,5]=>[1,3,6,7,5,4,2]=>[2,1,3,7,6,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,1,5,4,7]=>[1,3,6,4,2,5,7]=>[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,1,5,7,4]=>[1,3,6,7,4,2,5]=>[2,7,3,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,1,7,4,5]=>[1,3,6,4,2,5,7]=>[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,1,7,5,4]=>[1,3,6,5,7,4,2]=>[2,1,3,7,5,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,4,1,5,7]=>[1,3,6,5,2,4,7]=>[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,4,1,7,5]=>[1,3,6,7,5,2,4]=>[2,7,3,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,4,5,1,7]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,4,5,7,1]=>[1,3,6,7,2,4,5]=>[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,4,7,1,5]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,4,7,5,1]=>[1,3,6,5,7,2,4]=>[2,7,3,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,5,1,4,7]=>[1,3,6,4,5,2,7]=>[2,7,3,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,5,1,7,4]=>[1,3,6,7,4,5,2]=>[2,1,3,6,7,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,5,4,1,7]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,5,4,7,1]=>[1,3,6,7,2,4,5]=>[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,5,7,1,4]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,5,7,4,1]=>[1,3,6,4,5,7,2]=>[2,1,3,5,6,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,7,1,4,5]=>[1,3,6,4,7,5,2]=>[2,1,3,5,7,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,7,1,5,4]=>[1,3,6,5,2,4,7]=>[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,7,4,1,5]=>[1,3,6,2,4,7,5]=>[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,7,4,5,1]=>[1,3,6,5,4,7,2]=>[2,1,3,6,5,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,7,5,1,4]=>[1,3,6,2,4,7,5]=>[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,6,7,5,4,1]=>[1,3,6,4,7,2,5]=>[2,7,3,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,1,4,5,6]=>[1,3,7,6,5,4,2]=>[2,1,3,7,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,1,4,6,5]=>[1,3,7,5,4,2,6]=>[2,7,3,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,1,5,4,6]=>[1,3,7,6,4,2,5]=>[2,7,3,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,1,5,6,4]=>[1,3,7,4,2,5,6]=>[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,1,6,4,5]=>[1,3,7,5,6,4,2]=>[2,1,3,7,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,1,6,5,4]=>[1,3,7,4,2,5,6]=>[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,4,1,5,6]=>[1,3,7,6,5,2,4]=>[2,7,3,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,4,1,6,5]=>[1,3,7,5,2,4,6]=>[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,4,5,1,6]=>[1,3,7,6,2,4,5]=>[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,4,5,6,1]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,4,6,1,5]=>[1,3,7,5,6,2,4]=>[2,7,3,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,4,6,5,1]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,5,1,4,6]=>[1,3,7,6,4,5,2]=>[2,1,3,6,7,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,5,1,6,4]=>[1,3,7,4,5,2,6]=>[2,7,3,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,5,4,1,6]=>[1,3,7,6,2,4,5]=>[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,5,4,6,1]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,5,6,1,4]=>[1,3,7,4,5,6,2]=>[2,1,3,5,6,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,5,6,4,1]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,6,1,4,5]=>[1,3,7,5,2,4,6]=>[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,6,1,5,4]=>[1,3,7,4,6,5,2]=>[2,1,3,5,7,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,6,4,1,5]=>[1,3,7,5,4,6,2]=>[2,1,3,6,5,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,6,4,5,1]=>[1,3,7,2,4,6,5]=>[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,6,5,1,4]=>[1,3,7,4,6,2,5]=>[2,7,3,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,2,7,6,5,4,1]=>[1,3,7,2,4,6,5]=>[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,2,5,6,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,2,5,7,6]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,2,6,5,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,2,6,7,5]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,2,7,5,6]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,2,7,6,5]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,5,2,6,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,5,2,7,6]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,5,6,2,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,5,6,7,2]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,5,7,2,6]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,5,7,6,2]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,6,2,5,7]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,6,2,7,5]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,6,5,2,7]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,6,5,7,2]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,6,7,2,5]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,6,7,5,2]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,7,2,5,6]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,7,2,6,5]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,7,5,2,6]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,7,5,6,2]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,7,6,2,5]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,1,7,6,5,2]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,1,5,6,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,1,5,7,6]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,1,6,5,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,1,6,7,5]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,1,7,5,6]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,1,7,6,5]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,5,1,6,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,5,1,7,6]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,5,6,1,7]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,5,6,7,1]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,5,7,1,6]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,5,7,6,1]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,6,1,5,7]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,6,1,7,5]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,6,5,1,7]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,6,5,7,1]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,6,7,1,5]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,6,7,5,1]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,7,1,5,6]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,7,1,6,5]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,7,5,1,6]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,7,5,6,1]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,7,6,1,5]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,2,7,6,5,1]=>[1,3,2,4,7,5,6]=>[2,4,3,5,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,1,2,6,7]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,1,2,7,6]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,1,6,2,7]=>[1,3,5,6,2,4,7]=>[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,1,6,7,2]=>[1,3,5,6,7,2,4]=>[2,7,3,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,1,7,2,6]=>[1,3,5,7,6,2,4]=>[2,7,3,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,1,7,6,2]=>[1,3,5,7,2,4,6]=>[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,2,1,6,7]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,2,1,7,6]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,2,6,1,7]=>[1,3,5,6,2,4,7]=>[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,2,6,7,1]=>[1,3,5,6,7,2,4]=>[2,7,3,1,4,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,2,7,1,6]=>[1,3,5,7,6,2,4]=>[2,7,3,1,4,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,2,7,6,1]=>[1,3,5,7,2,4,6]=>[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,6,1,2,7]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,6,1,7,2]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,6,2,1,7]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,6,2,7,1]=>[1,3,5,2,4,6,7]=>[2,5,3,6,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,6,7,1,2]=>[1,3,5,7,2,4,6]=>[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,6,7,2,1]=>[1,3,5,7,2,4,6]=>[2,6,3,7,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,7,1,2,6]=>[1,3,5,2,4,7,6]=>[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,7,1,6,2]=>[1,3,5,2,4,7,6]=>[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,7,2,1,6]=>[1,3,5,2,4,7,6]=>[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,7,2,6,1]=>[1,3,5,2,4,7,6]=>[2,5,3,6,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,7,6,1,2]=>[1,3,5,6,2,4,7]=>[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,5,7,6,2,1]=>[1,3,5,6,2,4,7]=>[2,6,3,7,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,1,2,5,7]=>[1,3,6,5,2,4,7]=>[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,1,2,7,5]=>[1,3,6,7,5,2,4]=>[2,7,3,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,1,5,2,7]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,1,5,7,2]=>[1,3,6,7,2,4,5]=>[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,1,7,2,5]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,1,7,5,2]=>[1,3,6,5,7,2,4]=>[2,7,3,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,2,1,5,7]=>[1,3,6,5,2,4,7]=>[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,2,1,7,5]=>[1,3,6,7,5,2,4]=>[2,7,3,1,6,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,2,5,1,7]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,2,5,7,1]=>[1,3,6,7,2,4,5]=>[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,2,7,1,5]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,2,7,5,1]=>[1,3,6,5,7,2,4]=>[2,7,3,1,5,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,5,1,2,7]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,5,1,7,2]=>[1,3,6,7,2,4,5]=>[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,5,2,1,7]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,5,2,7,1]=>[1,3,6,7,2,4,5]=>[2,6,3,7,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,5,7,1,2]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,5,7,2,1]=>[1,3,6,2,4,5,7]=>[2,5,3,6,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,7,1,2,5]=>[1,3,6,2,4,7,5]=>[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,7,1,5,2]=>[1,3,6,5,2,4,7]=>[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,7,2,1,5]=>[1,3,6,2,4,7,5]=>[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,7,2,5,1]=>[1,3,6,5,2,4,7]=>[2,6,3,7,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,7,5,1,2]=>[1,3,6,2,4,7,5]=>[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,6,7,5,2,1]=>[1,3,6,2,4,7,5]=>[2,5,3,6,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,1,2,5,6]=>[1,3,7,6,5,2,4]=>[2,7,3,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,1,2,6,5]=>[1,3,7,5,2,4,6]=>[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,1,5,2,6]=>[1,3,7,6,2,4,5]=>[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,1,5,6,2]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,1,6,2,5]=>[1,3,7,5,6,2,4]=>[2,7,3,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,1,6,5,2]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,2,1,5,6]=>[1,3,7,6,5,2,4]=>[2,7,3,1,6,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,2,1,6,5]=>[1,3,7,5,2,4,6]=>[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,2,5,1,6]=>[1,3,7,6,2,4,5]=>[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,2,5,6,1]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,2,6,1,5]=>[1,3,7,5,6,2,4]=>[2,7,3,1,5,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,2,6,5,1]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,5,1,2,6]=>[1,3,7,6,2,4,5]=>[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,5,1,6,2]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,5,2,1,6]=>[1,3,7,6,2,4,5]=>[2,6,3,7,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,5,2,6,1]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,5,6,1,2]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,5,6,2,1]=>[1,3,7,2,4,5,6]=>[2,5,3,6,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,6,1,2,5]=>[1,3,7,5,2,4,6]=>[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,6,1,5,2]=>[1,3,7,2,4,6,5]=>[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,6,2,1,5]=>[1,3,7,5,2,4,6]=>[2,6,3,7,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,6,2,5,1]=>[1,3,7,2,4,6,5]=>[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,6,5,1,2]=>[1,3,7,2,4,6,5]=>[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,4,7,6,5,2,1]=>[1,3,7,2,4,6,5]=>[2,5,3,6,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,2,4,7,6]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,2,6,4,7]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,2,6,7,4]=>[1,3,2,5,6,7,4]=>[2,4,3,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,2,7,4,6]=>[1,3,2,5,7,6,4]=>[2,4,3,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,2,7,6,4]=>[1,3,2,5,7,4,6]=>[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,4,2,6,7]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,4,2,7,6]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,4,6,2,7]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,4,6,7,2]=>[1,3,2,5,6,7,4]=>[2,4,3,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,4,7,2,6]=>[1,3,2,5,7,6,4]=>[2,4,3,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,4,7,6,2]=>[1,3,2,5,7,4,6]=>[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,6,2,4,7]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,6,2,7,4]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,6,4,2,7]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,6,4,7,2]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,6,7,2,4]=>[1,3,2,5,7,4,6]=>[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,6,7,4,2]=>[1,3,2,5,7,4,6]=>[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,7,2,4,6]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,7,2,6,4]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,7,4,2,6]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,7,4,6,2]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,7,6,2,4]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,1,7,6,4,2]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,1,4,6,7]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,1,4,7,6]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,1,6,4,7]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,1,6,7,4]=>[1,3,2,5,6,7,4]=>[2,4,3,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,1,7,4,6]=>[1,3,2,5,7,6,4]=>[2,4,3,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,1,7,6,4]=>[1,3,2,5,7,4,6]=>[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,4,1,6,7]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,4,1,7,6]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,4,6,1,7]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,4,6,7,1]=>[1,3,2,5,6,7,4]=>[2,4,3,1,5,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,4,7,1,6]=>[1,3,2,5,7,6,4]=>[2,4,3,1,5,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,4,7,6,1]=>[1,3,2,5,7,4,6]=>[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,6,1,4,7]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,6,1,7,4]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,6,4,1,7]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,6,4,7,1]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,6,7,1,4]=>[1,3,2,5,7,4,6]=>[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,6,7,4,1]=>[1,3,2,5,7,4,6]=>[2,4,3,7,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,7,1,4,6]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,7,1,6,4]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,7,4,1,6]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,7,4,6,1]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,7,6,1,4]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,2,7,6,4,1]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,1,2,6,7]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,1,2,7,6]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,1,6,2,7]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,1,6,7,2]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,1,7,2,6]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,1,7,6,2]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,2,1,6,7]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,2,1,7,6]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,2,6,1,7]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,2,6,7,1]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,2,7,1,6]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,2,7,6,1]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,6,1,2,7]=>[1,3,4,6,2,5,7]=>[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,6,1,7,2]=>[1,3,4,6,7,2,5]=>[2,7,3,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,6,2,1,7]=>[1,3,4,6,2,5,7]=>[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,6,2,7,1]=>[1,3,4,6,7,2,5]=>[2,7,3,4,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,6,7,1,2]=>[1,3,4,6,2,5,7]=>[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,6,7,2,1]=>[1,3,4,6,2,5,7]=>[2,6,3,4,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,7,1,2,6]=>[1,3,4,7,6,2,5]=>[2,7,3,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,7,1,6,2]=>[1,3,4,7,2,5,6]=>[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,7,2,1,6]=>[1,3,4,7,6,2,5]=>[2,7,3,4,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,7,2,6,1]=>[1,3,4,7,2,5,6]=>[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,7,6,1,2]=>[1,3,4,7,2,5,6]=>[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,4,7,6,2,1]=>[1,3,4,7,2,5,6]=>[2,6,3,4,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,1,2,4,7]=>[1,3,6,4,2,5,7]=>[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,1,2,7,4]=>[1,3,6,7,4,2,5]=>[2,7,3,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,1,4,2,7]=>[1,3,6,2,5,4,7]=>[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,1,4,7,2]=>[1,3,6,7,2,5,4]=>[2,6,3,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,1,7,2,4]=>[1,3,6,2,5,7,4]=>[2,5,3,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,1,7,4,2]=>[1,3,6,4,2,5,7]=>[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,2,1,4,7]=>[1,3,6,4,2,5,7]=>[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,2,1,7,4]=>[1,3,6,7,4,2,5]=>[2,7,3,6,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,2,4,1,7]=>[1,3,6,2,5,4,7]=>[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,2,4,7,1]=>[1,3,6,7,2,5,4]=>[2,6,3,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,2,7,1,4]=>[1,3,6,2,5,7,4]=>[2,5,3,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,2,7,4,1]=>[1,3,6,4,2,5,7]=>[2,6,3,5,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,4,1,2,7]=>[1,3,6,2,5,4,7]=>[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,4,1,7,2]=>[1,3,6,7,2,5,4]=>[2,6,3,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,4,2,1,7]=>[1,3,6,2,5,4,7]=>[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,4,2,7,1]=>[1,3,6,7,2,5,4]=>[2,6,3,1,7,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,4,7,1,2]=>[1,3,6,2,5,7,4]=>[2,5,3,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,4,7,2,1]=>[1,3,6,2,5,7,4]=>[2,5,3,1,6,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,7,1,2,4]=>[1,3,6,2,5,4,7]=>[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,7,1,4,2]=>[1,3,6,4,7,2,5]=>[2,7,3,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,7,2,1,4]=>[1,3,6,2,5,4,7]=>[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,7,2,4,1]=>[1,3,6,4,7,2,5]=>[2,7,3,5,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,7,4,1,2]=>[1,3,6,2,5,4,7]=>[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,6,7,4,2,1]=>[1,3,6,2,5,4,7]=>[2,5,3,7,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,1,2,4,6]=>[1,3,7,6,4,2,5]=>[2,7,3,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,1,2,6,4]=>[1,3,7,4,2,5,6]=>[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,1,4,2,6]=>[1,3,7,6,2,5,4]=>[2,6,3,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,1,4,6,2]=>[1,3,7,2,5,4,6]=>[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,1,6,2,4]=>[1,3,7,4,2,5,6]=>[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,1,6,4,2]=>[1,3,7,2,5,6,4]=>[2,5,3,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,2,1,4,6]=>[1,3,7,6,4,2,5]=>[2,7,3,6,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,2,1,6,4]=>[1,3,7,4,2,5,6]=>[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,2,4,1,6]=>[1,3,7,6,2,5,4]=>[2,6,3,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,2,4,6,1]=>[1,3,7,2,5,4,6]=>[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,2,6,1,4]=>[1,3,7,4,2,5,6]=>[2,6,3,5,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,2,6,4,1]=>[1,3,7,2,5,6,4]=>[2,5,3,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,4,1,2,6]=>[1,3,7,6,2,5,4]=>[2,6,3,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,4,1,6,2]=>[1,3,7,2,5,4,6]=>[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,4,2,1,6]=>[1,3,7,6,2,5,4]=>[2,6,3,1,7,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,4,2,6,1]=>[1,3,7,2,5,4,6]=>[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,4,6,1,2]=>[1,3,7,2,5,6,4]=>[2,5,3,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,4,6,2,1]=>[1,3,7,2,5,6,4]=>[2,5,3,1,6,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,6,1,2,4]=>[1,3,7,4,6,2,5]=>[2,7,3,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,6,1,4,2]=>[1,3,7,2,5,4,6]=>[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,6,2,1,4]=>[1,3,7,4,6,2,5]=>[2,7,3,5,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,6,2,4,1]=>[1,3,7,2,5,4,6]=>[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,6,4,1,2]=>[1,3,7,2,5,4,6]=>[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,5,7,6,4,2,1]=>[1,3,7,2,5,4,6]=>[2,5,3,7,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,2,4,5,7]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,2,4,7,5]=>[1,3,2,6,7,5,4]=>[2,4,3,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,2,5,4,7]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,2,5,7,4]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,2,7,4,5]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,2,7,5,4]=>[1,3,2,6,5,7,4]=>[2,4,3,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,4,2,5,7]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,4,2,7,5]=>[1,3,2,6,7,5,4]=>[2,4,3,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,4,5,2,7]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,4,5,7,2]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,4,7,2,5]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,4,7,5,2]=>[1,3,2,6,5,7,4]=>[2,4,3,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,5,2,4,7]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,5,2,7,4]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,5,4,2,7]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,5,4,7,2]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,5,7,2,4]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,5,7,4,2]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,7,2,4,5]=>[1,3,2,6,4,7,5]=>[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,7,2,5,4]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,7,4,2,5]=>[1,3,2,6,4,7,5]=>[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,7,4,5,2]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,7,5,2,4]=>[1,3,2,6,4,7,5]=>[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,1,7,5,4,2]=>[1,3,2,6,4,7,5]=>[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,1,4,5,7]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,1,4,7,5]=>[1,3,2,6,7,5,4]=>[2,4,3,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,1,5,4,7]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,1,5,7,4]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,1,7,4,5]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,1,7,5,4]=>[1,3,2,6,5,7,4]=>[2,4,3,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,4,1,5,7]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,4,1,7,5]=>[1,3,2,6,7,5,4]=>[2,4,3,1,7,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,4,5,1,7]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,4,5,7,1]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,4,7,1,5]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,4,7,5,1]=>[1,3,2,6,5,7,4]=>[2,4,3,1,6,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,5,1,4,7]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,5,1,7,4]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,5,4,1,7]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,5,4,7,1]=>[1,3,2,6,7,4,5]=>[2,4,3,7,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,5,7,1,4]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,5,7,4,1]=>[1,3,2,6,4,5,7]=>[2,4,3,6,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,7,1,4,5]=>[1,3,2,6,4,7,5]=>[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,7,1,5,4]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,7,4,1,5]=>[1,3,2,6,4,7,5]=>[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,7,4,5,1]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,7,5,1,4]=>[1,3,2,6,4,7,5]=>[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,2,7,5,4,1]=>[1,3,2,6,4,7,5]=>[2,4,3,6,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,1,2,5,7]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,1,2,7,5]=>[1,3,4,2,6,7,5]=>[2,5,3,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,1,5,2,7]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,1,5,7,2]=>[1,3,4,2,6,7,5]=>[2,5,3,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,1,7,2,5]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,1,7,5,2]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,2,1,5,7]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,2,1,7,5]=>[1,3,4,2,6,7,5]=>[2,5,3,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,2,5,1,7]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,2,5,7,1]=>[1,3,4,2,6,7,5]=>[2,5,3,4,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,2,7,1,5]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,2,7,5,1]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,5,1,2,7]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,5,1,7,2]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,5,2,1,7]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,5,2,7,1]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,5,7,1,2]=>[1,3,4,5,7,2,6]=>[2,7,3,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,5,7,2,1]=>[1,3,4,5,7,2,6]=>[2,7,3,4,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,7,1,2,5]=>[1,3,4,7,5,2,6]=>[2,7,3,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,7,1,5,2]=>[1,3,4,7,2,6,5]=>[2,6,3,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,7,2,1,5]=>[1,3,4,7,5,2,6]=>[2,7,3,4,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,7,2,5,1]=>[1,3,4,7,2,6,5]=>[2,6,3,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,7,5,1,2]=>[1,3,4,7,2,6,5]=>[2,6,3,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,4,7,5,2,1]=>[1,3,4,7,2,6,5]=>[2,6,3,4,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,1,2,4,7]=>[1,3,5,2,6,4,7]=>[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,1,2,7,4]=>[1,3,5,2,6,7,4]=>[2,5,3,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,1,4,2,7]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,1,4,7,2]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,1,7,2,4]=>[1,3,5,7,4,2,6]=>[2,7,3,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,1,7,4,2]=>[1,3,5,7,2,6,4]=>[2,6,3,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,2,1,4,7]=>[1,3,5,2,6,4,7]=>[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,2,1,7,4]=>[1,3,5,2,6,7,4]=>[2,5,3,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,2,4,1,7]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,2,4,7,1]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,2,7,1,4]=>[1,3,5,7,4,2,6]=>[2,7,3,6,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,2,7,4,1]=>[1,3,5,7,2,6,4]=>[2,6,3,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,4,1,2,7]=>[1,3,5,2,6,4,7]=>[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,4,1,7,2]=>[1,3,5,2,6,7,4]=>[2,5,3,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,4,2,1,7]=>[1,3,5,2,6,4,7]=>[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,4,2,7,1]=>[1,3,5,2,6,7,4]=>[2,5,3,1,4,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,4,7,1,2]=>[1,3,5,7,2,6,4]=>[2,6,3,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,4,7,2,1]=>[1,3,5,7,2,6,4]=>[2,6,3,1,4,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,7,1,2,4]=>[1,3,5,2,6,4,7]=>[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,7,1,4,2]=>[1,3,5,2,6,4,7]=>[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,7,2,1,4]=>[1,3,5,2,6,4,7]=>[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,7,2,4,1]=>[1,3,5,2,6,4,7]=>[2,5,3,7,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,7,4,1,2]=>[1,3,5,4,7,2,6]=>[2,7,3,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,5,7,4,2,1]=>[1,3,5,4,7,2,6]=>[2,7,3,5,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,1,2,4,5]=>[1,3,7,5,2,6,4]=>[2,6,3,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,1,2,5,4]=>[1,3,7,4,2,6,5]=>[2,6,3,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,1,4,2,5]=>[1,3,7,5,4,2,6]=>[2,7,3,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,1,4,5,2]=>[1,3,7,2,6,5,4]=>[2,5,3,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,1,5,2,4]=>[1,3,7,4,2,6,5]=>[2,6,3,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,1,5,4,2]=>[1,3,7,2,6,4,5]=>[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,2,1,4,5]=>[1,3,7,5,2,6,4]=>[2,6,3,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,2,1,5,4]=>[1,3,7,4,2,6,5]=>[2,6,3,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,2,4,1,5]=>[1,3,7,5,4,2,6]=>[2,7,3,6,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,2,4,5,1]=>[1,3,7,2,6,5,4]=>[2,5,3,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,2,5,1,4]=>[1,3,7,4,2,6,5]=>[2,6,3,5,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,2,5,4,1]=>[1,3,7,2,6,4,5]=>[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,4,1,2,5]=>[1,3,7,5,2,6,4]=>[2,6,3,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,4,1,5,2]=>[1,3,7,2,6,5,4]=>[2,5,3,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,4,2,1,5]=>[1,3,7,5,2,6,4]=>[2,6,3,1,5,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,4,2,5,1]=>[1,3,7,2,6,5,4]=>[2,5,3,1,7,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,4,5,1,2]=>[1,3,7,2,6,4,5]=>[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,4,5,2,1]=>[1,3,7,2,6,4,5]=>[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,5,1,2,4]=>[1,3,7,4,5,2,6]=>[2,7,3,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,5,1,4,2]=>[1,3,7,2,6,4,5]=>[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,5,2,1,4]=>[1,3,7,4,5,2,6]=>[2,7,3,5,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,5,2,4,1]=>[1,3,7,2,6,4,5]=>[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,5,4,1,2]=>[1,3,7,2,6,4,5]=>[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,6,7,5,4,2,1]=>[1,3,7,2,6,4,5]=>[2,5,3,7,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,2,4,5,6]=>[1,3,2,7,6,5,4]=>[2,4,3,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,2,4,6,5]=>[1,3,2,7,5,4,6]=>[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,2,5,4,6]=>[1,3,2,7,6,4,5]=>[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,2,5,6,4]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,2,6,4,5]=>[1,3,2,7,5,6,4]=>[2,4,3,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,2,6,5,4]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,4,2,5,6]=>[1,3,2,7,6,5,4]=>[2,4,3,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,4,2,6,5]=>[1,3,2,7,5,4,6]=>[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,4,5,2,6]=>[1,3,2,7,6,4,5]=>[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,4,5,6,2]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,4,6,2,5]=>[1,3,2,7,5,6,4]=>[2,4,3,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,4,6,5,2]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,5,2,4,6]=>[1,3,2,7,6,4,5]=>[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,5,2,6,4]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,5,4,2,6]=>[1,3,2,7,6,4,5]=>[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,5,4,6,2]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,5,6,2,4]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,5,6,4,2]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,6,2,4,5]=>[1,3,2,7,5,4,6]=>[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,6,2,5,4]=>[1,3,2,7,4,6,5]=>[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,6,4,2,5]=>[1,3,2,7,5,4,6]=>[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,6,4,5,2]=>[1,3,2,7,4,6,5]=>[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,6,5,2,4]=>[1,3,2,7,4,6,5]=>[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,1,6,5,4,2]=>[1,3,2,7,4,6,5]=>[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,1,4,5,6]=>[1,3,2,7,6,5,4]=>[2,4,3,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,1,4,6,5]=>[1,3,2,7,5,4,6]=>[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,1,5,4,6]=>[1,3,2,7,6,4,5]=>[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,1,5,6,4]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,1,6,4,5]=>[1,3,2,7,5,6,4]=>[2,4,3,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,1,6,5,4]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,4,1,5,6]=>[1,3,2,7,6,5,4]=>[2,4,3,1,7,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,4,1,6,5]=>[1,3,2,7,5,4,6]=>[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,4,5,1,6]=>[1,3,2,7,6,4,5]=>[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,4,5,6,1]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,4,6,1,5]=>[1,3,2,7,5,6,4]=>[2,4,3,1,6,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,4,6,5,1]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,5,1,4,6]=>[1,3,2,7,6,4,5]=>[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,5,1,6,4]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,5,4,1,6]=>[1,3,2,7,6,4,5]=>[2,4,3,7,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,5,4,6,1]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,5,6,1,4]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,5,6,4,1]=>[1,3,2,7,4,5,6]=>[2,4,3,6,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,6,1,4,5]=>[1,3,2,7,5,4,6]=>[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,6,1,5,4]=>[1,3,2,7,4,6,5]=>[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,6,4,1,5]=>[1,3,2,7,5,4,6]=>[2,4,3,7,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,6,4,5,1]=>[1,3,2,7,4,6,5]=>[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,6,5,1,4]=>[1,3,2,7,4,6,5]=>[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,2,6,5,4,1]=>[1,3,2,7,4,6,5]=>[2,4,3,6,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,1,2,5,6]=>[1,3,4,2,7,6,5]=>[2,5,3,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,1,2,6,5]=>[1,3,4,2,7,5,6]=>[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,1,5,2,6]=>[1,3,4,2,7,6,5]=>[2,5,3,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,1,5,6,2]=>[1,3,4,2,7,5,6]=>[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,1,6,2,5]=>[1,3,4,2,7,5,6]=>[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,1,6,5,2]=>[1,3,4,2,7,5,6]=>[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,2,1,5,6]=>[1,3,4,2,7,6,5]=>[2,5,3,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,2,1,6,5]=>[1,3,4,2,7,5,6]=>[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,2,5,1,6]=>[1,3,4,2,7,6,5]=>[2,5,3,4,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,2,5,6,1]=>[1,3,4,2,7,5,6]=>[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,2,6,1,5]=>[1,3,4,2,7,5,6]=>[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,2,6,5,1]=>[1,3,4,2,7,5,6]=>[2,5,3,4,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,5,1,2,6]=>[1,3,4,5,2,7,6]=>[2,6,3,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,5,1,6,2]=>[1,3,4,5,2,7,6]=>[2,6,3,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,5,2,1,6]=>[1,3,4,5,2,7,6]=>[2,6,3,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,5,2,6,1]=>[1,3,4,5,2,7,6]=>[2,6,3,4,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,5,6,1,2]=>[1,3,4,5,6,2,7]=>[2,7,3,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,5,6,2,1]=>[1,3,4,5,6,2,7]=>[2,7,3,4,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,6,1,2,5]=>[1,3,4,6,2,7,5]=>[2,6,3,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,6,1,5,2]=>[1,3,4,6,5,2,7]=>[2,7,3,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,6,2,1,5]=>[1,3,4,6,2,7,5]=>[2,6,3,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,6,2,5,1]=>[1,3,4,6,5,2,7]=>[2,7,3,4,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,6,5,1,2]=>[1,3,4,6,2,7,5]=>[2,6,3,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,4,6,5,2,1]=>[1,3,4,6,2,7,5]=>[2,6,3,4,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,1,2,4,6]=>[1,3,5,2,7,6,4]=>[2,5,3,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,1,2,6,4]=>[1,3,5,2,7,4,6]=>[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,1,4,2,6]=>[1,3,5,4,2,7,6]=>[2,6,3,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,1,4,6,2]=>[1,3,5,4,2,7,6]=>[2,6,3,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,1,6,2,4]=>[1,3,5,6,2,7,4]=>[2,6,3,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,1,6,4,2]=>[1,3,5,6,4,2,7]=>[2,7,3,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,2,1,4,6]=>[1,3,5,2,7,6,4]=>[2,5,3,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,2,1,6,4]=>[1,3,5,2,7,4,6]=>[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,2,4,1,6]=>[1,3,5,4,2,7,6]=>[2,6,3,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,2,4,6,1]=>[1,3,5,4,2,7,6]=>[2,6,3,5,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,2,6,1,4]=>[1,3,5,6,2,7,4]=>[2,6,3,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,2,6,4,1]=>[1,3,5,6,4,2,7]=>[2,7,3,6,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,4,1,2,6]=>[1,3,5,2,7,6,4]=>[2,5,3,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,4,1,6,2]=>[1,3,5,2,7,4,6]=>[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,4,2,1,6]=>[1,3,5,2,7,6,4]=>[2,5,3,1,4,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,4,2,6,1]=>[1,3,5,2,7,4,6]=>[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,4,6,1,2]=>[1,3,5,6,2,7,4]=>[2,6,3,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,4,6,2,1]=>[1,3,5,6,2,7,4]=>[2,6,3,1,4,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,6,1,2,4]=>[1,3,5,2,7,4,6]=>[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,6,1,4,2]=>[1,3,5,2,7,4,6]=>[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,6,2,1,4]=>[1,3,5,2,7,4,6]=>[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,6,2,4,1]=>[1,3,5,2,7,4,6]=>[2,5,3,7,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,6,4,1,2]=>[1,3,5,4,6,2,7]=>[2,7,3,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,5,6,4,2,1]=>[1,3,5,4,6,2,7]=>[2,7,3,5,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,1,2,4,5]=>[1,3,6,4,2,7,5]=>[2,6,3,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,1,2,5,4]=>[1,3,6,5,2,7,4]=>[2,6,3,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,1,4,2,5]=>[1,3,6,2,7,5,4]=>[2,5,3,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,1,4,5,2]=>[1,3,6,5,4,2,7]=>[2,7,3,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,1,5,2,4]=>[1,3,6,2,7,4,5]=>[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,1,5,4,2]=>[1,3,6,4,2,7,5]=>[2,6,3,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,2,1,4,5]=>[1,3,6,4,2,7,5]=>[2,6,3,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,2,1,5,4]=>[1,3,6,5,2,7,4]=>[2,6,3,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,2,4,1,5]=>[1,3,6,2,7,5,4]=>[2,5,3,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,2,4,5,1]=>[1,3,6,5,4,2,7]=>[2,7,3,6,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,2,5,1,4]=>[1,3,6,2,7,4,5]=>[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,2,5,4,1]=>[1,3,6,4,2,7,5]=>[2,6,3,5,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,4,1,2,5]=>[1,3,6,2,7,5,4]=>[2,5,3,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,4,1,5,2]=>[1,3,6,5,2,7,4]=>[2,6,3,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,4,2,1,5]=>[1,3,6,2,7,5,4]=>[2,5,3,1,7,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,4,2,5,1]=>[1,3,6,5,2,7,4]=>[2,6,3,1,5,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,4,5,1,2]=>[1,3,6,2,7,4,5]=>[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,4,5,2,1]=>[1,3,6,2,7,4,5]=>[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,5,1,2,4]=>[1,3,6,2,7,4,5]=>[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,5,1,4,2]=>[1,3,6,4,5,2,7]=>[2,7,3,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,5,2,1,4]=>[1,3,6,2,7,4,5]=>[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,5,2,4,1]=>[1,3,6,4,5,2,7]=>[2,7,3,5,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,5,4,1,2]=>[1,3,6,2,7,4,5]=>[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[3,7,6,5,4,2,1]=>[1,3,6,2,7,4,5]=>[2,5,3,7,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,3,5,7,6]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,3,6,5,7]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,3,6,7,5]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,3,7,5,6]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,3,7,6,5]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,3,6,7]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,3,7,6]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,6,3,7]=>[1,4,5,6,3,2,7]=>[2,7,6,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,6,7,3]=>[1,4,5,6,7,3,2]=>[2,1,7,3,4,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,7,3,6]=>[1,4,5,7,6,3,2]=>[2,1,7,3,4,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,5,7,6,3]=>[1,4,5,7,3,2,6]=>[2,7,6,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,3,5,7]=>[1,4,6,5,3,2,7]=>[2,7,6,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,3,7,5]=>[1,4,6,7,5,3,2]=>[2,1,7,3,6,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,5,3,7]=>[1,4,6,3,2,5,7]=>[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,5,7,3]=>[1,4,6,7,3,2,5]=>[2,7,6,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,7,3,5]=>[1,4,6,3,2,5,7]=>[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,6,7,5,3]=>[1,4,6,5,7,3,2]=>[2,1,7,3,5,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,3,5,6]=>[1,4,7,6,5,3,2]=>[2,1,7,3,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,3,6,5]=>[1,4,7,5,3,2,6]=>[2,7,6,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,5,3,6]=>[1,4,7,6,3,2,5]=>[2,7,6,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,5,6,3]=>[1,4,7,3,2,5,6]=>[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,6,3,5]=>[1,4,7,5,6,3,2]=>[2,1,7,3,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,2,7,6,5,3]=>[1,4,7,3,2,5,6]=>[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,5,6,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,5,7,6]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,6,5,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,6,7,5]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,7,5,6]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,2,7,6,5]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,2,6,7]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,2,7,6]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,6,2,7]=>[1,4,5,6,2,3,7]=>[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,6,7,2]=>[1,4,5,6,7,2,3]=>[2,7,1,3,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,7,2,6]=>[1,4,5,7,6,2,3]=>[2,7,1,3,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,5,7,6,2]=>[1,4,5,7,2,3,6]=>[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,2,5,7]=>[1,4,6,5,2,3,7]=>[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,2,7,5]=>[1,4,6,7,5,2,3]=>[2,7,1,3,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,5,2,7]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,5,7,2]=>[1,4,6,7,2,3,5]=>[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,7,2,5]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,6,7,5,2]=>[1,4,6,5,7,2,3]=>[2,7,1,3,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,2,5,6]=>[1,4,7,6,5,2,3]=>[2,7,1,3,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,2,6,5]=>[1,4,7,5,2,3,6]=>[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,5,2,6]=>[1,4,7,6,2,3,5]=>[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,5,6,2]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,6,2,5]=>[1,4,7,5,6,2,3]=>[2,7,1,3,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,3,7,6,5,2]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,3,6,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,3,7,6]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,6,3,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,6,7,3]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,7,3,6]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,2,7,6,3]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,2,6,7]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,2,7,6]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,6,2,7]=>[1,4,3,5,6,2,7]=>[2,7,4,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,6,7,2]=>[1,4,3,5,6,7,2]=>[2,1,4,3,5,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,7,2,6]=>[1,4,3,5,7,6,2]=>[2,1,4,3,5,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,3,7,6,2]=>[1,4,3,5,7,2,6]=>[2,7,4,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,2,3,7]=>[1,4,6,3,5,2,7]=>[2,7,5,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,2,7,3]=>[1,4,6,7,3,5,2]=>[2,1,6,3,7,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,3,2,7]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,3,7,2]=>[1,4,6,7,2,3,5]=>[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,7,2,3]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,6,7,3,2]=>[1,4,6,3,5,7,2]=>[2,1,5,3,6,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,2,3,6]=>[1,4,7,6,3,5,2]=>[2,1,6,3,7,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,2,6,3]=>[1,4,7,3,5,2,6]=>[2,7,5,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,3,2,6]=>[1,4,7,6,2,3,5]=>[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,3,6,2]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,6,2,3]=>[1,4,7,3,5,6,2]=>[2,1,5,3,6,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,5,7,6,3,2]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,3,5,7]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,3,7,5]=>[1,4,2,3,6,7,5]=>[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,5,3,7]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,5,7,3]=>[1,4,2,3,6,7,5]=>[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,7,3,5]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,2,7,5,3]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,2,5,7]=>[1,4,3,6,5,2,7]=>[2,7,4,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,2,7,5]=>[1,4,3,6,7,5,2]=>[2,1,4,3,7,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,5,2,7]=>[1,4,3,6,2,5,7]=>[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,5,7,2]=>[1,4,3,6,7,2,5]=>[2,7,4,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,7,2,5]=>[1,4,3,6,2,5,7]=>[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,3,7,5,2]=>[1,4,3,6,5,7,2]=>[2,1,4,3,6,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,2,3,7]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,2,7,3]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,3,2,7]=>[1,4,5,3,6,2,7]=>[2,7,5,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,3,7,2]=>[1,4,5,3,6,7,2]=>[2,1,5,3,4,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,7,2,3]=>[1,4,5,7,3,6,2]=>[2,1,6,3,4,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,5,7,3,2]=>[1,4,5,7,2,3,6]=>[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,2,3,5]=>[1,4,7,5,2,3,6]=>[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,2,5,3]=>[1,4,7,3,6,5,2]=>[2,1,5,3,7,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,3,2,5]=>[1,4,7,5,3,6,2]=>[2,1,6,3,5,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,3,5,2]=>[1,4,7,2,3,6,5]=>[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,5,2,3]=>[1,4,7,3,6,2,5]=>[2,7,5,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,6,7,5,3,2]=>[1,4,7,2,3,6,5]=>[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,3,5,6]=>[1,4,2,3,7,6,5]=>[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,3,6,5]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,5,3,6]=>[1,4,2,3,7,6,5]=>[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,5,6,3]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,6,3,5]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,2,6,5,3]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,2,5,6]=>[1,4,3,7,6,5,2]=>[2,1,4,3,7,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,2,6,5]=>[1,4,3,7,5,2,6]=>[2,7,4,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,5,2,6]=>[1,4,3,7,6,2,5]=>[2,7,4,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,5,6,2]=>[1,4,3,7,2,5,6]=>[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,6,2,5]=>[1,4,3,7,5,6,2]=>[2,1,4,3,6,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,3,6,5,2]=>[1,4,3,7,2,5,6]=>[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,2,3,6]=>[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,2,6,3]=>[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,3,2,6]=>[1,4,5,3,7,6,2]=>[2,1,5,3,4,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,3,6,2]=>[1,4,5,3,7,2,6]=>[2,7,5,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,6,2,3]=>[1,4,5,6,2,3,7]=>[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,5,6,3,2]=>[1,4,5,6,3,7,2]=>[2,1,6,3,4,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,2,3,5]=>[1,4,6,3,7,5,2]=>[2,1,5,3,7,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,2,5,3]=>[1,4,6,5,2,3,7]=>[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,3,2,5]=>[1,4,6,2,3,7,5]=>[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,3,5,2]=>[1,4,6,5,3,7,2]=>[2,1,6,3,5,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,5,2,3]=>[1,4,6,2,3,7,5]=>[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,1,7,6,5,3,2]=>[1,4,6,3,7,2,5]=>[2,7,5,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,3,5,6,7]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,3,5,7,6]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,3,6,5,7]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,3,6,7,5]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,3,7,5,6]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,3,7,6,5]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,5,3,6,7]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,5,3,7,6]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,5,6,3,7]=>[1,4,5,6,3,2,7]=>[2,7,6,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,5,6,7,3]=>[1,4,5,6,7,3,2]=>[2,1,7,3,4,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,5,7,3,6]=>[1,4,5,7,6,3,2]=>[2,1,7,3,4,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,5,7,6,3]=>[1,4,5,7,3,2,6]=>[2,7,6,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,6,3,5,7]=>[1,4,6,5,3,2,7]=>[2,7,6,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,6,3,7,5]=>[1,4,6,7,5,3,2]=>[2,1,7,3,6,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,6,5,3,7]=>[1,4,6,3,2,5,7]=>[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,6,5,7,3]=>[1,4,6,7,3,2,5]=>[2,7,6,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,6,7,3,5]=>[1,4,6,3,2,5,7]=>[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,6,7,5,3]=>[1,4,6,5,7,3,2]=>[2,1,7,3,5,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,7,3,5,6]=>[1,4,7,6,5,3,2]=>[2,1,7,3,6,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,7,3,6,5]=>[1,4,7,5,3,2,6]=>[2,7,6,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,7,5,3,6]=>[1,4,7,6,3,2,5]=>[2,7,6,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,7,5,6,3]=>[1,4,7,3,2,5,6]=>[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,7,6,3,5]=>[1,4,7,5,6,3,2]=>[2,1,7,3,5,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,1,7,6,5,3]=>[1,4,7,3,2,5,6]=>[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,1,5,6,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,1,5,7,6]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,1,6,5,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,1,6,7,5]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,1,7,5,6]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,1,7,6,5]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,5,1,6,7]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,5,1,7,6]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,5,6,1,7]=>[1,4,5,6,2,3,7]=>[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,5,6,7,1]=>[1,4,5,6,7,2,3]=>[2,7,1,3,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,5,7,1,6]=>[1,4,5,7,6,2,3]=>[2,7,1,3,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,5,7,6,1]=>[1,4,5,7,2,3,6]=>[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,6,1,5,7]=>[1,4,6,5,2,3,7]=>[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,6,1,7,5]=>[1,4,6,7,5,2,3]=>[2,7,1,3,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,6,5,1,7]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,6,5,7,1]=>[1,4,6,7,2,3,5]=>[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,6,7,1,5]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,6,7,5,1]=>[1,4,6,5,7,2,3]=>[2,7,1,3,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,7,1,5,6]=>[1,4,7,6,5,2,3]=>[2,7,1,3,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,7,1,6,5]=>[1,4,7,5,2,3,6]=>[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,7,5,1,6]=>[1,4,7,6,2,3,5]=>[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,7,5,6,1]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,7,6,1,5]=>[1,4,7,5,6,2,3]=>[2,7,1,3,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,3,7,6,5,1]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,1,3,6,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,1,3,7,6]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,1,6,3,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,1,6,7,3]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,1,7,3,6]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,1,7,6,3]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,3,1,6,7]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,3,1,7,6]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,3,6,1,7]=>[1,4,3,5,6,2,7]=>[2,7,4,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,3,6,7,1]=>[1,4,3,5,6,7,2]=>[2,1,4,3,5,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,3,7,1,6]=>[1,4,3,5,7,6,2]=>[2,1,4,3,5,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,3,7,6,1]=>[1,4,3,5,7,2,6]=>[2,7,4,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,6,1,3,7]=>[1,4,6,3,5,2,7]=>[2,7,5,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,6,1,7,3]=>[1,4,6,7,3,5,2]=>[2,1,6,3,7,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,6,3,1,7]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,6,3,7,1]=>[1,4,6,7,2,3,5]=>[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,6,7,1,3]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,6,7,3,1]=>[1,4,6,3,5,7,2]=>[2,1,5,3,6,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,7,1,3,6]=>[1,4,7,6,3,5,2]=>[2,1,6,3,7,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,7,1,6,3]=>[1,4,7,3,5,2,6]=>[2,7,5,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,7,3,1,6]=>[1,4,7,6,2,3,5]=>[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,7,3,6,1]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,7,6,1,3]=>[1,4,7,3,5,6,2]=>[2,1,5,3,6,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,5,7,6,3,1]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,1,3,5,7]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,1,3,7,5]=>[1,4,2,3,6,7,5]=>[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,1,5,3,7]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,1,5,7,3]=>[1,4,2,3,6,7,5]=>[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,1,7,3,5]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,1,7,5,3]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,3,1,5,7]=>[1,4,3,6,5,2,7]=>[2,7,4,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,3,1,7,5]=>[1,4,3,6,7,5,2]=>[2,1,4,3,7,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,3,5,1,7]=>[1,4,3,6,2,5,7]=>[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,3,5,7,1]=>[1,4,3,6,7,2,5]=>[2,7,4,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,3,7,1,5]=>[1,4,3,6,2,5,7]=>[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,3,7,5,1]=>[1,4,3,6,5,7,2]=>[2,1,4,3,6,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,5,1,3,7]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,5,1,7,3]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,5,3,1,7]=>[1,4,5,3,6,2,7]=>[2,7,5,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,5,3,7,1]=>[1,4,5,3,6,7,2]=>[2,1,5,3,4,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,5,7,1,3]=>[1,4,5,7,3,6,2]=>[2,1,6,3,4,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,5,7,3,1]=>[1,4,5,7,2,3,6]=>[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,7,1,3,5]=>[1,4,7,5,2,3,6]=>[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,7,1,5,3]=>[1,4,7,3,6,5,2]=>[2,1,5,3,7,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,7,3,1,5]=>[1,4,7,5,3,6,2]=>[2,1,6,3,5,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,7,3,5,1]=>[1,4,7,2,3,6,5]=>[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,7,5,1,3]=>[1,4,7,3,6,2,5]=>[2,7,5,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,6,7,5,3,1]=>[1,4,7,2,3,6,5]=>[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,1,3,5,6]=>[1,4,2,3,7,6,5]=>[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,1,3,6,5]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,1,5,3,6]=>[1,4,2,3,7,6,5]=>[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,1,5,6,3]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,1,6,3,5]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,1,6,5,3]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,3,1,5,6]=>[1,4,3,7,6,5,2]=>[2,1,4,3,7,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,3,1,6,5]=>[1,4,3,7,5,2,6]=>[2,7,4,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,3,5,1,6]=>[1,4,3,7,6,2,5]=>[2,7,4,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,3,5,6,1]=>[1,4,3,7,2,5,6]=>[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,3,6,1,5]=>[1,4,3,7,5,6,2]=>[2,1,4,3,6,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,3,6,5,1]=>[1,4,3,7,2,5,6]=>[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,5,1,3,6]=>[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,5,1,6,3]=>[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,5,3,1,6]=>[1,4,5,3,7,6,2]=>[2,1,5,3,4,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,5,3,6,1]=>[1,4,5,3,7,2,6]=>[2,7,5,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,5,6,1,3]=>[1,4,5,6,2,3,7]=>[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,5,6,3,1]=>[1,4,5,6,3,7,2]=>[2,1,6,3,4,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,6,1,3,5]=>[1,4,6,3,7,5,2]=>[2,1,5,3,7,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,6,1,5,3]=>[1,4,6,5,2,3,7]=>[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,6,3,1,5]=>[1,4,6,2,3,7,5]=>[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,6,3,5,1]=>[1,4,6,5,3,7,2]=>[2,1,6,3,5,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,6,5,1,3]=>[1,4,6,2,3,7,5]=>[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,2,7,6,5,3,1]=>[1,4,6,3,7,2,5]=>[2,7,5,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,2,5,6,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,2,5,7,6]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,2,6,5,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,2,6,7,5]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,2,7,5,6]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,2,7,6,5]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,5,2,6,7]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,5,2,7,6]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,5,6,2,7]=>[1,4,5,6,2,3,7]=>[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,5,6,7,2]=>[1,4,5,6,7,2,3]=>[2,7,1,3,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,5,7,2,6]=>[1,4,5,7,6,2,3]=>[2,7,1,3,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,5,7,6,2]=>[1,4,5,7,2,3,6]=>[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,6,2,5,7]=>[1,4,6,5,2,3,7]=>[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,6,2,7,5]=>[1,4,6,7,5,2,3]=>[2,7,1,3,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,6,5,2,7]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,6,5,7,2]=>[1,4,6,7,2,3,5]=>[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,6,7,2,5]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,6,7,5,2]=>[1,4,6,5,7,2,3]=>[2,7,1,3,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,7,2,5,6]=>[1,4,7,6,5,2,3]=>[2,7,1,3,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,7,2,6,5]=>[1,4,7,5,2,3,6]=>[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,7,5,2,6]=>[1,4,7,6,2,3,5]=>[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,7,5,6,2]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,7,6,2,5]=>[1,4,7,5,6,2,3]=>[2,7,1,3,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,1,7,6,5,2]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,5,6,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,5,7,6]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,6,5,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,6,7,5]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,7,5,6]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,1,7,6,5]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,5,1,6,7]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,5,1,7,6]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,5,6,1,7]=>[1,4,5,6,2,3,7]=>[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,5,6,7,1]=>[1,4,5,6,7,2,3]=>[2,7,1,3,4,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,5,7,1,6]=>[1,4,5,7,6,2,3]=>[2,7,1,3,4,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,5,7,6,1]=>[1,4,5,7,2,3,6]=>[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,6,1,5,7]=>[1,4,6,5,2,3,7]=>[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,6,1,7,5]=>[1,4,6,7,5,2,3]=>[2,7,1,3,6,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,6,5,1,7]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,6,5,7,1]=>[1,4,6,7,2,3,5]=>[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,6,7,1,5]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,6,7,5,1]=>[1,4,6,5,7,2,3]=>[2,7,1,3,5,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,7,1,5,6]=>[1,4,7,6,5,2,3]=>[2,7,1,3,6,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,7,1,6,5]=>[1,4,7,5,2,3,6]=>[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,7,5,1,6]=>[1,4,7,6,2,3,5]=>[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,7,5,6,1]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,7,6,1,5]=>[1,4,7,5,6,2,3]=>[2,7,1,3,5,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,2,7,6,5,1]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,1,2,6,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,1,2,7,6]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,1,6,2,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,1,6,7,2]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,1,7,2,6]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,1,7,6,2]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,2,1,6,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,2,1,7,6]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,2,6,1,7]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,2,6,7,1]=>[1,4,2,3,5,6,7]=>[2,4,5,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,2,7,1,6]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,2,7,6,1]=>[1,4,2,3,5,7,6]=>[2,4,5,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,6,1,2,7]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,6,1,7,2]=>[1,4,6,7,2,3,5]=>[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,6,2,1,7]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,6,2,7,1]=>[1,4,6,7,2,3,5]=>[2,6,7,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,6,7,1,2]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,6,7,2,1]=>[1,4,6,2,3,5,7]=>[2,5,6,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,7,1,2,6]=>[1,4,7,6,2,3,5]=>[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,7,1,6,2]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,7,2,1,6]=>[1,4,7,6,2,3,5]=>[2,6,7,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,7,2,6,1]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,7,6,1,2]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,5,7,6,2,1]=>[1,4,7,2,3,5,6]=>[2,5,6,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,1,2,5,7]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,1,2,7,5]=>[1,4,2,3,6,7,5]=>[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,1,5,2,7]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,1,5,7,2]=>[1,4,2,3,6,7,5]=>[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,1,7,2,5]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,1,7,5,2]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,2,1,5,7]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,2,1,7,5]=>[1,4,2,3,6,7,5]=>[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,2,5,1,7]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,2,5,7,1]=>[1,4,2,3,6,7,5]=>[2,4,5,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,2,7,1,5]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,2,7,5,1]=>[1,4,2,3,6,5,7]=>[2,4,5,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,5,1,2,7]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,5,1,7,2]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,5,2,1,7]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,5,2,7,1]=>[1,4,5,2,3,6,7]=>[2,5,6,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,5,7,1,2]=>[1,4,5,7,2,3,6]=>[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,5,7,2,1]=>[1,4,5,7,2,3,6]=>[2,6,7,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,7,1,2,5]=>[1,4,7,5,2,3,6]=>[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,7,1,5,2]=>[1,4,7,2,3,6,5]=>[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,7,2,1,5]=>[1,4,7,5,2,3,6]=>[2,6,7,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,7,2,5,1]=>[1,4,7,2,3,6,5]=>[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,7,5,1,2]=>[1,4,7,2,3,6,5]=>[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,6,7,5,2,1]=>[1,4,7,2,3,6,5]=>[2,5,6,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,1,2,5,6]=>[1,4,2,3,7,6,5]=>[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,1,2,6,5]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,1,5,2,6]=>[1,4,2,3,7,6,5]=>[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,1,5,6,2]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,1,6,2,5]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,1,6,5,2]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,2,1,5,6]=>[1,4,2,3,7,6,5]=>[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,2,1,6,5]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,2,5,1,6]=>[1,4,2,3,7,6,5]=>[2,4,5,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,2,5,6,1]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,2,6,1,5]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,2,6,5,1]=>[1,4,2,3,7,5,6]=>[2,4,5,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,5,1,2,6]=>[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,5,1,6,2]=>[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,5,2,1,6]=>[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,5,2,6,1]=>[1,4,5,2,3,7,6]=>[2,5,6,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,5,6,1,2]=>[1,4,5,6,2,3,7]=>[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,5,6,2,1]=>[1,4,5,6,2,3,7]=>[2,6,7,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,6,1,2,5]=>[1,4,6,2,3,7,5]=>[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,6,1,5,2]=>[1,4,6,5,2,3,7]=>[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,6,2,1,5]=>[1,4,6,2,3,7,5]=>[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,6,2,5,1]=>[1,4,6,5,2,3,7]=>[2,6,7,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,6,5,1,2]=>[1,4,6,2,3,7,5]=>[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,3,7,6,5,2,1]=>[1,4,6,2,3,7,5]=>[2,5,6,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,2,3,6,7]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,2,3,7,6]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,2,6,3,7]=>[1,4,2,5,6,3,7]=>[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,2,6,7,3]=>[1,4,2,5,6,7,3]=>[2,4,1,3,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,2,7,3,6]=>[1,4,2,5,7,6,3]=>[2,4,1,3,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,2,7,6,3]=>[1,4,2,5,7,3,6]=>[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,3,2,6,7]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,3,2,7,6]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,3,6,2,7]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,3,6,7,2]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,3,7,2,6]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,3,7,6,2]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,6,2,3,7]=>[1,4,6,3,2,5,7]=>[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,6,2,7,3]=>[1,4,6,7,3,2,5]=>[2,7,6,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,6,3,2,7]=>[1,4,6,2,5,3,7]=>[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,6,3,7,2]=>[1,4,6,7,2,5,3]=>[2,6,1,3,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,6,7,2,3]=>[1,4,6,2,5,7,3]=>[2,5,1,3,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,6,7,3,2]=>[1,4,6,3,2,5,7]=>[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,7,2,3,6]=>[1,4,7,6,3,2,5]=>[2,7,6,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,7,2,6,3]=>[1,4,7,3,2,5,6]=>[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,7,3,2,6]=>[1,4,7,6,2,5,3]=>[2,6,1,3,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,7,3,6,2]=>[1,4,7,2,5,3,6]=>[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,7,6,2,3]=>[1,4,7,3,2,5,6]=>[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,1,7,6,3,2]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,1,3,6,7]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,1,3,7,6]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,1,6,3,7]=>[1,4,2,5,6,3,7]=>[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,1,6,7,3]=>[1,4,2,5,6,7,3]=>[2,4,1,3,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,1,7,3,6]=>[1,4,2,5,7,6,3]=>[2,4,1,3,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,1,7,6,3]=>[1,4,2,5,7,3,6]=>[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,3,1,6,7]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,3,1,7,6]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,3,6,1,7]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,3,6,7,1]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,3,7,1,6]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,3,7,6,1]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,6,1,3,7]=>[1,4,6,3,2,5,7]=>[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,6,1,7,3]=>[1,4,6,7,3,2,5]=>[2,7,6,3,1,4,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,6,3,1,7]=>[1,4,6,2,5,3,7]=>[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,6,3,7,1]=>[1,4,6,7,2,5,3]=>[2,6,1,3,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,6,7,1,3]=>[1,4,6,2,5,7,3]=>[2,5,1,3,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,6,7,3,1]=>[1,4,6,3,2,5,7]=>[2,6,5,3,7,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,7,1,3,6]=>[1,4,7,6,3,2,5]=>[2,7,6,3,1,5,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,7,1,6,3]=>[1,4,7,3,2,5,6]=>[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,7,3,1,6]=>[1,4,7,6,2,5,3]=>[2,6,1,3,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,7,3,6,1]=>[1,4,7,2,5,3,6]=>[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,7,6,1,3]=>[1,4,7,3,2,5,6]=>[2,6,5,3,7,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,2,7,6,3,1]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,1,2,6,7]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,1,2,7,6]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,1,6,2,7]=>[1,4,2,5,6,3,7]=>[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,1,6,7,2]=>[1,4,2,5,6,7,3]=>[2,4,1,3,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,1,7,2,6]=>[1,4,2,5,7,6,3]=>[2,4,1,3,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,1,7,6,2]=>[1,4,2,5,7,3,6]=>[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,2,1,6,7]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,2,1,7,6]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,2,6,1,7]=>[1,4,2,5,6,3,7]=>[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,2,6,7,1]=>[1,4,2,5,6,7,3]=>[2,4,1,3,5,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,2,7,1,6]=>[1,4,2,5,7,6,3]=>[2,4,1,3,5,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,2,7,6,1]=>[1,4,2,5,7,3,6]=>[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,6,1,2,7]=>[1,4,6,2,5,3,7]=>[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,6,1,7,2]=>[1,4,6,7,2,5,3]=>[2,6,1,3,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,6,2,1,7]=>[1,4,6,2,5,3,7]=>[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,6,2,7,1]=>[1,4,6,7,2,5,3]=>[2,6,1,3,7,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,6,7,1,2]=>[1,4,6,2,5,7,3]=>[2,5,1,3,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,6,7,2,1]=>[1,4,6,2,5,7,3]=>[2,5,1,3,6,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,7,1,2,6]=>[1,4,7,6,2,5,3]=>[2,6,1,3,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,7,1,6,2]=>[1,4,7,2,5,3,6]=>[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,7,2,1,6]=>[1,4,7,6,2,5,3]=>[2,6,1,3,7,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,7,2,6,1]=>[1,4,7,2,5,3,6]=>[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,7,6,1,2]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,3,7,6,2,1]=>[1,4,7,2,5,6,3]=>[2,5,1,3,6,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,1,2,3,7]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,1,2,7,3]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,1,3,2,7]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,1,3,7,2]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,1,7,2,3]=>[1,4,2,5,7,3,6]=>[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,1,7,3,2]=>[1,4,2,5,7,3,6]=>[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,2,1,3,7]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,2,1,7,3]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,2,3,1,7]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,2,3,7,1]=>[1,4,2,5,3,6,7]=>[2,4,6,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,2,7,1,3]=>[1,4,2,5,7,3,6]=>[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,2,7,3,1]=>[1,4,2,5,7,3,6]=>[2,4,7,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,3,1,2,7]=>[1,4,3,6,2,5,7]=>[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,3,1,7,2]=>[1,4,3,6,7,2,5]=>[2,7,4,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,3,2,1,7]=>[1,4,3,6,2,5,7]=>[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,3,2,7,1]=>[1,4,3,6,7,2,5]=>[2,7,4,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,3,7,1,2]=>[1,4,3,6,2,5,7]=>[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,3,7,2,1]=>[1,4,3,6,2,5,7]=>[2,6,4,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,7,1,2,3]=>[1,4,7,3,6,2,5]=>[2,7,5,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,7,1,3,2]=>[1,4,7,2,5,3,6]=>[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,7,2,1,3]=>[1,4,7,3,6,2,5]=>[2,7,5,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,7,2,3,1]=>[1,4,7,2,5,3,6]=>[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,7,3,1,2]=>[1,4,7,2,5,3,6]=>[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,6,7,3,2,1]=>[1,4,7,2,5,3,6]=>[2,5,7,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,1,2,3,6]=>[1,4,2,5,3,7,6]=>[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,1,2,6,3]=>[1,4,2,5,3,7,6]=>[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,1,3,2,6]=>[1,4,2,5,3,7,6]=>[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,1,3,6,2]=>[1,4,2,5,3,7,6]=>[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,1,6,2,3]=>[1,4,2,5,6,3,7]=>[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,1,6,3,2]=>[1,4,2,5,6,3,7]=>[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,2,1,3,6]=>[1,4,2,5,3,7,6]=>[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,2,1,6,3]=>[1,4,2,5,3,7,6]=>[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,2,3,1,6]=>[1,4,2,5,3,7,6]=>[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,2,3,6,1]=>[1,4,2,5,3,7,6]=>[2,4,6,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,2,6,1,3]=>[1,4,2,5,6,3,7]=>[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,2,6,3,1]=>[1,4,2,5,6,3,7]=>[2,4,7,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,3,1,2,6]=>[1,4,3,7,6,2,5]=>[2,7,4,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,3,1,6,2]=>[1,4,3,7,2,5,6]=>[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,3,2,1,6]=>[1,4,3,7,6,2,5]=>[2,7,4,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,3,2,6,1]=>[1,4,3,7,2,5,6]=>[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,3,6,1,2]=>[1,4,3,7,2,5,6]=>[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,3,6,2,1]=>[1,4,3,7,2,5,6]=>[2,6,4,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,6,1,2,3]=>[1,4,6,2,5,3,7]=>[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,6,1,3,2]=>[1,4,6,3,7,2,5]=>[2,7,5,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,6,2,1,3]=>[1,4,6,2,5,3,7]=>[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,6,2,3,1]=>[1,4,6,3,7,2,5]=>[2,7,5,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,6,3,1,2]=>[1,4,6,2,5,3,7]=>[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,5,7,6,3,2,1]=>[1,4,6,2,5,3,7]=>[2,5,7,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,2,3,5,7]=>[1,4,2,6,5,3,7]=>[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,2,3,7,5]=>[1,4,2,6,7,5,3]=>[2,4,1,3,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,2,5,3,7]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,2,5,7,3]=>[1,4,2,6,7,3,5]=>[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,2,7,3,5]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,2,7,5,3]=>[1,4,2,6,5,7,3]=>[2,4,1,3,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,3,2,5,7]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,3,2,7,5]=>[1,4,3,2,6,7,5]=>[2,5,4,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,3,5,2,7]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,3,5,7,2]=>[1,4,3,2,6,7,5]=>[2,5,4,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,3,7,2,5]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,3,7,5,2]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,5,2,3,7]=>[1,4,5,2,6,3,7]=>[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,5,2,7,3]=>[1,4,5,2,6,7,3]=>[2,5,1,3,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,5,3,2,7]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,5,3,7,2]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,5,7,2,3]=>[1,4,5,7,3,2,6]=>[2,7,6,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,5,7,3,2]=>[1,4,5,7,2,6,3]=>[2,6,1,3,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,7,2,3,5]=>[1,4,7,5,2,6,3]=>[2,6,1,3,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,7,2,5,3]=>[1,4,7,3,2,6,5]=>[2,6,5,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,7,3,2,5]=>[1,4,7,5,3,2,6]=>[2,7,6,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,7,3,5,2]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,7,5,2,3]=>[1,4,7,3,2,6,5]=>[2,6,5,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,1,7,5,3,2]=>[1,4,7,2,6,3,5]=>[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,1,3,5,7]=>[1,4,2,6,5,3,7]=>[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,1,3,7,5]=>[1,4,2,6,7,5,3]=>[2,4,1,3,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,1,5,3,7]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,1,5,7,3]=>[1,4,2,6,7,3,5]=>[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,1,7,3,5]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,1,7,5,3]=>[1,4,2,6,5,7,3]=>[2,4,1,3,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,3,1,5,7]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,3,1,7,5]=>[1,4,3,2,6,7,5]=>[2,5,4,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,3,5,1,7]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,3,5,7,1]=>[1,4,3,2,6,7,5]=>[2,5,4,3,1,6,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,3,7,1,5]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,3,7,5,1]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,5,1,3,7]=>[1,4,5,2,6,3,7]=>[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,5,1,7,3]=>[1,4,5,2,6,7,3]=>[2,5,1,3,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,5,3,1,7]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,5,3,7,1]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,5,7,1,3]=>[1,4,5,7,3,2,6]=>[2,7,6,3,4,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,5,7,3,1]=>[1,4,5,7,2,6,3]=>[2,6,1,3,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,7,1,3,5]=>[1,4,7,5,2,6,3]=>[2,6,1,3,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,7,1,5,3]=>[1,4,7,3,2,6,5]=>[2,6,5,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,7,3,1,5]=>[1,4,7,5,3,2,6]=>[2,7,6,3,5,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,7,3,5,1]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,7,5,1,3]=>[1,4,7,3,2,6,5]=>[2,6,5,3,1,7,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,2,7,5,3,1]=>[1,4,7,2,6,3,5]=>[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,1,2,5,7]=>[1,4,2,6,5,3,7]=>[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,1,2,7,5]=>[1,4,2,6,7,5,3]=>[2,4,1,3,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,1,5,2,7]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,1,5,7,2]=>[1,4,2,6,7,3,5]=>[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,1,7,2,5]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,1,7,5,2]=>[1,4,2,6,5,7,3]=>[2,4,1,3,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,2,1,5,7]=>[1,4,2,6,5,3,7]=>[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,2,1,7,5]=>[1,4,2,6,7,5,3]=>[2,4,1,3,7,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,2,5,1,7]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,2,5,7,1]=>[1,4,2,6,7,3,5]=>[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,2,7,1,5]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,2,7,5,1]=>[1,4,2,6,5,7,3]=>[2,4,1,3,6,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,5,1,2,7]=>[1,4,5,2,6,3,7]=>[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,5,1,7,2]=>[1,4,5,2,6,7,3]=>[2,5,1,3,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,5,2,1,7]=>[1,4,5,2,6,3,7]=>[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,5,2,7,1]=>[1,4,5,2,6,7,3]=>[2,5,1,3,4,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,5,7,1,2]=>[1,4,5,7,2,6,3]=>[2,6,1,3,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,5,7,2,1]=>[1,4,5,7,2,6,3]=>[2,6,1,3,4,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,7,1,2,5]=>[1,4,7,5,2,6,3]=>[2,6,1,3,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,7,1,5,2]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,7,2,1,5]=>[1,4,7,5,2,6,3]=>[2,6,1,3,5,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,7,2,5,1]=>[1,4,7,2,6,5,3]=>[2,5,1,3,7,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,7,5,1,2]=>[1,4,7,2,6,3,5]=>[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,3,7,5,2,1]=>[1,4,7,2,6,3,5]=>[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,1,2,3,7]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,1,2,7,3]=>[1,4,2,6,7,3,5]=>[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,1,3,2,7]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,1,3,7,2]=>[1,4,2,6,7,3,5]=>[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,1,7,2,3]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,1,7,3,2]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,2,1,3,7]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,2,1,7,3]=>[1,4,2,6,7,3,5]=>[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,2,3,1,7]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,2,3,7,1]=>[1,4,2,6,7,3,5]=>[2,4,7,3,1,5,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,2,7,1,3]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,2,7,3,1]=>[1,4,2,6,3,5,7]=>[2,4,6,3,7,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,3,1,2,7]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,3,1,7,2]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,3,2,1,7]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,3,2,7,1]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,3,7,1,2]=>[1,4,3,5,7,2,6]=>[2,7,4,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,3,7,2,1]=>[1,4,3,5,7,2,6]=>[2,7,4,3,5,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,7,1,2,3]=>[1,4,7,3,5,2,6]=>[2,7,5,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,7,1,3,2]=>[1,4,7,2,6,3,5]=>[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,7,2,1,3]=>[1,4,7,3,5,2,6]=>[2,7,5,3,6,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,7,2,3,1]=>[1,4,7,2,6,3,5]=>[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,7,3,1,2]=>[1,4,7,2,6,3,5]=>[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,5,7,3,2,1]=>[1,4,7,2,6,3,5]=>[2,5,7,3,1,6,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,1,2,3,5]=>[1,4,2,6,3,7,5]=>[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,1,2,5,3]=>[1,4,2,6,5,3,7]=>[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,1,3,2,5]=>[1,4,2,6,3,7,5]=>[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,1,3,5,2]=>[1,4,2,6,5,3,7]=>[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,1,5,2,3]=>[1,4,2,6,3,7,5]=>[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,1,5,3,2]=>[1,4,2,6,3,7,5]=>[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,2,1,3,5]=>[1,4,2,6,3,7,5]=>[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,2,1,5,3]=>[1,4,2,6,5,3,7]=>[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,2,3,1,5]=>[1,4,2,6,3,7,5]=>[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,2,3,5,1]=>[1,4,2,6,5,3,7]=>[2,4,7,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,2,5,1,3]=>[1,4,2,6,3,7,5]=>[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,2,5,3,1]=>[1,4,2,6,3,7,5]=>[2,4,6,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,3,1,2,5]=>[1,4,3,7,5,2,6]=>[2,7,4,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,3,1,5,2]=>[1,4,3,7,2,6,5]=>[2,6,4,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,3,2,1,5]=>[1,4,3,7,5,2,6]=>[2,7,4,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,3,2,5,1]=>[1,4,3,7,2,6,5]=>[2,6,4,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,3,5,1,2]=>[1,4,3,7,2,6,5]=>[2,6,4,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,3,5,2,1]=>[1,4,3,7,2,6,5]=>[2,6,4,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,5,1,2,3]=>[1,4,5,2,6,3,7]=>[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,5,1,3,2]=>[1,4,5,2,6,3,7]=>[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,5,2,1,3]=>[1,4,5,2,6,3,7]=>[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,5,2,3,1]=>[1,4,5,2,6,3,7]=>[2,5,7,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,5,3,1,2]=>[1,4,5,3,7,2,6]=>[2,7,5,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,6,7,5,3,2,1]=>[1,4,5,3,7,2,6]=>[2,7,5,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,2,3,5,6]=>[1,4,2,7,6,5,3]=>[2,4,1,3,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,2,3,6,5]=>[1,4,2,7,5,3,6]=>[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,2,5,3,6]=>[1,4,2,7,6,3,5]=>[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,2,5,6,3]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,2,6,3,5]=>[1,4,2,7,5,6,3]=>[2,4,1,3,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,2,6,5,3]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,3,2,5,6]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,3,2,6,5]=>[1,4,3,2,7,5,6]=>[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,3,5,2,6]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,3,5,6,2]=>[1,4,3,2,7,5,6]=>[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,3,6,2,5]=>[1,4,3,2,7,5,6]=>[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,3,6,5,2]=>[1,4,3,2,7,5,6]=>[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,5,2,3,6]=>[1,4,5,2,7,6,3]=>[2,5,1,3,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,5,2,6,3]=>[1,4,5,2,7,3,6]=>[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,5,3,2,6]=>[1,4,5,3,2,7,6]=>[2,6,5,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,5,3,6,2]=>[1,4,5,3,2,7,6]=>[2,6,5,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,5,6,2,3]=>[1,4,5,6,2,7,3]=>[2,6,1,3,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,5,6,3,2]=>[1,4,5,6,3,2,7]=>[2,7,6,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,6,2,3,5]=>[1,4,6,3,2,7,5]=>[2,6,5,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,6,2,5,3]=>[1,4,6,5,2,7,3]=>[2,6,1,3,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,6,3,2,5]=>[1,4,6,2,7,5,3]=>[2,5,1,3,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,6,3,5,2]=>[1,4,6,5,3,2,7]=>[2,7,6,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,6,5,2,3]=>[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,1,6,5,3,2]=>[1,4,6,3,2,7,5]=>[2,6,5,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,1,3,5,6]=>[1,4,2,7,6,5,3]=>[2,4,1,3,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,1,3,6,5]=>[1,4,2,7,5,3,6]=>[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,1,5,3,6]=>[1,4,2,7,6,3,5]=>[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,1,5,6,3]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,1,6,3,5]=>[1,4,2,7,5,6,3]=>[2,4,1,3,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,1,6,5,3]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,3,1,5,6]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,3,1,6,5]=>[1,4,3,2,7,5,6]=>[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,3,5,1,6]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,7,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,3,5,6,1]=>[1,4,3,2,7,5,6]=>[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,3,6,1,5]=>[1,4,3,2,7,5,6]=>[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,3,6,5,1]=>[1,4,3,2,7,5,6]=>[2,5,4,3,7,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,5,1,3,6]=>[1,4,5,2,7,6,3]=>[2,5,1,3,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,5,1,6,3]=>[1,4,5,2,7,3,6]=>[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,5,3,1,6]=>[1,4,5,3,2,7,6]=>[2,6,5,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,5,3,6,1]=>[1,4,5,3,2,7,6]=>[2,6,5,3,4,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,5,6,1,3]=>[1,4,5,6,2,7,3]=>[2,6,1,3,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,5,6,3,1]=>[1,4,5,6,3,2,7]=>[2,7,6,3,4,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,6,1,3,5]=>[1,4,6,3,2,7,5]=>[2,6,5,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,6,1,5,3]=>[1,4,6,5,2,7,3]=>[2,6,1,3,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,6,3,1,5]=>[1,4,6,2,7,5,3]=>[2,5,1,3,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,6,3,5,1]=>[1,4,6,5,3,2,7]=>[2,7,6,3,5,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,6,5,1,3]=>[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,2,6,5,3,1]=>[1,4,6,3,2,7,5]=>[2,6,5,3,1,4,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,1,2,5,6]=>[1,4,2,7,6,5,3]=>[2,4,1,3,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,1,2,6,5]=>[1,4,2,7,5,3,6]=>[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,1,5,2,6]=>[1,4,2,7,6,3,5]=>[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,1,5,6,2]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,1,6,2,5]=>[1,4,2,7,5,6,3]=>[2,4,1,3,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,1,6,5,2]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,2,1,5,6]=>[1,4,2,7,6,5,3]=>[2,4,1,3,7,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,2,1,6,5]=>[1,4,2,7,5,3,6]=>[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,2,5,1,6]=>[1,4,2,7,6,3,5]=>[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,2,5,6,1]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,2,6,1,5]=>[1,4,2,7,5,6,3]=>[2,4,1,3,6,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,2,6,5,1]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,5,1,2,6]=>[1,4,5,2,7,6,3]=>[2,5,1,3,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,5,1,6,2]=>[1,4,5,2,7,3,6]=>[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,5,2,1,6]=>[1,4,5,2,7,6,3]=>[2,5,1,3,4,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,5,2,6,1]=>[1,4,5,2,7,3,6]=>[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,5,6,1,2]=>[1,4,5,6,2,7,3]=>[2,6,1,3,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,5,6,2,1]=>[1,4,5,6,2,7,3]=>[2,6,1,3,4,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,6,1,2,5]=>[1,4,6,2,7,5,3]=>[2,5,1,3,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,6,1,5,2]=>[1,4,6,5,2,7,3]=>[2,6,1,3,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,6,2,1,5]=>[1,4,6,2,7,5,3]=>[2,5,1,3,7,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,6,2,5,1]=>[1,4,6,5,2,7,3]=>[2,6,1,3,5,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,6,5,1,2]=>[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,3,6,5,2,1]=>[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,1,2,3,6]=>[1,4,2,7,6,3,5]=>[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,1,2,6,3]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,1,3,2,6]=>[1,4,2,7,6,3,5]=>[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,1,3,6,2]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,1,6,2,3]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,1,6,3,2]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,2,1,3,6]=>[1,4,2,7,6,3,5]=>[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,2,1,6,3]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,2,3,1,6]=>[1,4,2,7,6,3,5]=>[2,4,7,3,1,6,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,2,3,6,1]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,2,6,1,3]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,2,6,3,1]=>[1,4,2,7,3,5,6]=>[2,4,6,3,7,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,3,1,2,6]=>[1,4,3,5,2,7,6]=>[2,6,4,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,3,1,6,2]=>[1,4,3,5,2,7,6]=>[2,6,4,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,3,2,1,6]=>[1,4,3,5,2,7,6]=>[2,6,4,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,3,2,6,1]=>[1,4,3,5,2,7,6]=>[2,6,4,3,5,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,3,6,1,2]=>[1,4,3,5,6,2,7]=>[2,7,4,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,3,6,2,1]=>[1,4,3,5,6,2,7]=>[2,7,4,3,5,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,6,1,2,3]=>[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,6,1,3,2]=>[1,4,6,3,5,2,7]=>[2,7,5,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,6,2,1,3]=>[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,6,2,3,1]=>[1,4,6,3,5,2,7]=>[2,7,5,3,6,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,6,3,1,2]=>[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,5,6,3,2,1]=>[1,4,6,2,7,3,5]=>[2,5,7,3,1,4,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,1,2,3,5]=>[1,4,2,7,5,3,6]=>[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,1,2,5,3]=>[1,4,2,7,3,6,5]=>[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,1,3,2,5]=>[1,4,2,7,5,3,6]=>[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,1,3,5,2]=>[1,4,2,7,3,6,5]=>[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,1,5,3,2]=>[1,4,2,7,3,6,5]=>[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,2,1,3,5]=>[1,4,2,7,5,3,6]=>[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,2,1,5,3]=>[1,4,2,7,3,6,5]=>[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,2,3,1,5]=>[1,4,2,7,5,3,6]=>[2,4,7,3,6,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,2,3,5,1]=>[1,4,2,7,3,6,5]=>[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,2,5,1,3]=>[1,4,2,7,3,6,5]=>[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,2,5,3,1]=>[1,4,2,7,3,6,5]=>[2,4,6,3,1,7,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,3,1,2,5]=>[1,4,3,6,2,7,5]=>[2,6,4,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,3,1,5,2]=>[1,4,3,6,5,2,7]=>[2,7,4,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,3,2,1,5]=>[1,4,3,6,2,7,5]=>[2,6,4,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,3,2,5,1]=>[1,4,3,6,5,2,7]=>[2,7,4,3,6,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,3,5,1,2]=>[1,4,3,6,2,7,5]=>[2,6,4,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,3,5,2,1]=>[1,4,3,6,2,7,5]=>[2,6,4,3,1,5,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,5,1,2,3]=>[1,4,5,2,7,3,6]=>[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,5,1,3,2]=>[1,4,5,2,7,3,6]=>[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,5,2,1,3]=>[1,4,5,2,7,3,6]=>[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,5,2,3,1]=>[1,4,5,2,7,3,6]=>[2,5,7,3,4,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,5,3,1,2]=>[1,4,5,3,6,2,7]=>[2,7,5,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[4,7,6,5,3,2,1]=>[1,4,5,3,6,2,7]=>[2,7,5,3,4,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,3,4,7,6]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,3,6,4,7]=>[1,5,6,4,3,2,7]=>[2,7,6,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,3,6,7,4]=>[1,5,6,7,4,3,2]=>[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,3,7,4,6]=>[1,5,7,6,4,3,2]=>[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,3,7,6,4]=>[1,5,7,4,3,2,6]=>[2,7,6,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,3,6,7]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,3,7,6]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,6,3,7]=>[1,5,6,3,2,4,7]=>[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,6,7,3]=>[1,5,6,7,3,2,4]=>[2,7,6,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,7,3,6]=>[1,5,7,6,3,2,4]=>[2,7,6,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,4,7,6,3]=>[1,5,7,3,2,4,6]=>[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,3,4,7]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,3,7,4]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,4,3,7]=>[1,5,4,6,3,2,7]=>[2,7,6,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,4,7,3]=>[1,5,4,6,7,3,2]=>[2,1,7,4,3,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,7,3,4]=>[1,5,7,4,6,3,2]=>[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,6,7,4,3]=>[1,5,7,3,2,4,6]=>[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,3,4,6]=>[1,5,3,2,4,7,6]=>[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,3,6,4]=>[1,5,3,2,4,7,6]=>[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,4,3,6]=>[1,5,4,7,6,3,2]=>[2,1,7,4,3,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,4,6,3]=>[1,5,4,7,3,2,6]=>[2,7,6,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,6,3,4]=>[1,5,6,3,2,4,7]=>[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,2,7,6,4,3]=>[1,5,6,4,7,3,2]=>[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,4,6,7]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,4,7,6]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,6,4,7]=>[1,5,6,4,2,3,7]=>[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,6,7,4]=>[1,5,6,7,4,2,3]=>[2,7,1,6,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,7,4,6]=>[1,5,7,6,4,2,3]=>[2,7,1,6,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,2,7,6,4]=>[1,5,7,4,2,3,6]=>[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,2,6,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,2,7,6]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,6,2,7]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,6,7,2]=>[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,7,2,6]=>[1,5,7,6,2,3,4]=>[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,4,7,6,2]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,2,4,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,2,7,4]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,4,2,7]=>[1,5,4,6,2,3,7]=>[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,4,7,2]=>[1,5,4,6,7,2,3]=>[2,7,1,4,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,7,2,4]=>[1,5,7,4,6,2,3]=>[2,7,1,5,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,6,7,4,2]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,2,4,6]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,2,6,4]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,4,2,6]=>[1,5,4,7,6,2,3]=>[2,7,1,4,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,4,6,2]=>[1,5,4,7,2,3,6]=>[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,6,2,4]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,3,7,6,4,2]=>[1,5,6,4,7,2,3]=>[2,7,1,5,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,3,6,7]=>[1,5,3,4,2,6,7]=>[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,3,7,6]=>[1,5,3,4,2,6,7]=>[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,6,3,7]=>[1,5,6,3,4,2,7]=>[2,7,5,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,6,7,3]=>[1,5,6,7,3,4,2]=>[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,7,3,6]=>[1,5,7,6,3,4,2]=>[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,2,7,6,3]=>[1,5,7,3,4,2,6]=>[2,7,5,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,2,6,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,2,7,6]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,6,2,7]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,6,7,2]=>[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,7,2,6]=>[1,5,7,6,2,3,4]=>[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,3,7,6,2]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,2,3,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,2,7,3]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,3,2,7]=>[1,5,3,4,6,2,7]=>[2,7,4,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,3,7,2]=>[1,5,3,4,6,7,2]=>[2,1,4,5,3,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,7,2,3]=>[1,5,7,3,4,6,2]=>[2,1,5,6,3,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,6,7,3,2]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,2,3,6]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,2,6,3]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,3,2,6]=>[1,5,3,4,7,6,2]=>[2,1,4,5,3,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,3,6,2]=>[1,5,3,4,7,2,6]=>[2,7,4,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,6,2,3]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,4,7,6,3,2]=>[1,5,6,3,4,7,2]=>[2,1,5,6,3,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,3,4,7]=>[1,5,3,6,4,2,7]=>[2,7,4,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,3,7,4]=>[1,5,3,6,7,4,2]=>[2,1,4,7,3,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,4,3,7]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,4,7,3]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,7,3,4]=>[1,5,7,4,2,3,6]=>[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,2,7,4,3]=>[1,5,7,3,6,4,2]=>[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,2,4,7]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,2,7,4]=>[1,5,2,3,6,7,4]=>[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,4,2,7]=>[1,5,4,3,6,2,7]=>[2,7,5,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,4,7,2]=>[1,5,4,3,6,7,2]=>[2,1,5,4,3,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,7,2,4]=>[1,5,7,4,3,6,2]=>[2,1,6,5,3,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,3,7,4,2]=>[1,5,7,2,3,6,4]=>[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,2,3,7]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,2,7,3]=>[1,5,2,3,6,7,4]=>[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,3,2,7]=>[1,5,3,6,2,4,7]=>[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,3,7,2]=>[1,5,3,6,7,2,4]=>[2,7,4,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,7,2,3]=>[1,5,7,3,6,2,4]=>[2,7,5,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,4,7,3,2]=>[1,5,7,2,3,6,4]=>[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,2,3,4]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,2,4,3]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,3,2,4]=>[1,5,3,6,2,4,7]=>[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,3,4,2]=>[1,5,3,6,4,7,2]=>[2,1,4,6,3,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,4,2,3]=>[1,5,4,7,3,6,2]=>[2,1,6,4,3,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,6,7,4,3,2]=>[1,5,4,7,2,3,6]=>[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,3,4,6]=>[1,5,3,7,6,4,2]=>[2,1,4,7,3,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,3,6,4]=>[1,5,3,7,4,2,6]=>[2,7,4,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,4,3,6]=>[1,5,4,2,3,7,6]=>[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,4,6,3]=>[1,5,4,2,3,7,6]=>[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,6,3,4]=>[1,5,6,3,7,4,2]=>[2,1,5,7,3,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,2,6,4,3]=>[1,5,6,4,2,3,7]=>[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,2,4,6]=>[1,5,2,3,7,6,4]=>[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,2,6,4]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,4,2,6]=>[1,5,4,3,7,6,2]=>[2,1,5,4,3,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,4,6,2]=>[1,5,4,3,7,2,6]=>[2,7,5,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,6,2,4]=>[1,5,6,2,3,7,4]=>[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,3,6,4,2]=>[1,5,6,4,3,7,2]=>[2,1,6,5,3,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,2,3,6]=>[1,5,2,3,7,6,4]=>[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,2,6,3]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,3,2,6]=>[1,5,3,7,6,2,4]=>[2,7,4,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,3,6,2]=>[1,5,3,7,2,4,6]=>[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,6,2,3]=>[1,5,6,2,3,7,4]=>[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,4,6,3,2]=>[1,5,6,3,7,2,4]=>[2,7,5,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,2,3,4]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,2,4,3]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,3,2,4]=>[1,5,3,7,4,6,2]=>[2,1,4,6,3,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,3,4,2]=>[1,5,3,7,2,4,6]=>[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,4,2,3]=>[1,5,4,6,2,3,7]=>[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,1,7,6,4,3,2]=>[1,5,4,6,3,7,2]=>[2,1,6,4,3,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,3,4,6,7]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,3,4,7,6]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,3,6,4,7]=>[1,5,6,4,3,2,7]=>[2,7,6,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,3,6,7,4]=>[1,5,6,7,4,3,2]=>[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,3,7,4,6]=>[1,5,7,6,4,3,2]=>[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,3,7,6,4]=>[1,5,7,4,3,2,6]=>[2,7,6,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,4,3,6,7]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,4,3,7,6]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,4,6,3,7]=>[1,5,6,3,2,4,7]=>[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,4,6,7,3]=>[1,5,6,7,3,2,4]=>[2,7,6,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,4,7,3,6]=>[1,5,7,6,3,2,4]=>[2,7,6,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,4,7,6,3]=>[1,5,7,3,2,4,6]=>[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,6,3,4,7]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,6,3,7,4]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,6,4,3,7]=>[1,5,4,6,3,2,7]=>[2,7,6,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,6,4,7,3]=>[1,5,4,6,7,3,2]=>[2,1,7,4,3,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,6,7,3,4]=>[1,5,7,4,6,3,2]=>[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,6,7,4,3]=>[1,5,7,3,2,4,6]=>[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,7,3,4,6]=>[1,5,3,2,4,7,6]=>[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,7,3,6,4]=>[1,5,3,2,4,7,6]=>[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,7,4,3,6]=>[1,5,4,7,6,3,2]=>[2,1,7,4,3,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,7,4,6,3]=>[1,5,4,7,3,2,6]=>[2,7,6,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,7,6,3,4]=>[1,5,6,3,2,4,7]=>[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,1,7,6,4,3]=>[1,5,6,4,7,3,2]=>[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,1,4,6,7]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,1,4,7,6]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,1,6,4,7]=>[1,5,6,4,2,3,7]=>[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,1,6,7,4]=>[1,5,6,7,4,2,3]=>[2,7,1,6,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,1,7,4,6]=>[1,5,7,6,4,2,3]=>[2,7,1,6,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,1,7,6,4]=>[1,5,7,4,2,3,6]=>[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,4,1,6,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,4,1,7,6]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,4,6,1,7]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,4,6,7,1]=>[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,4,7,1,6]=>[1,5,7,6,2,3,4]=>[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,4,7,6,1]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,6,1,4,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,6,1,7,4]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,6,4,1,7]=>[1,5,4,6,2,3,7]=>[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,6,4,7,1]=>[1,5,4,6,7,2,3]=>[2,7,1,4,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,6,7,1,4]=>[1,5,7,4,6,2,3]=>[2,7,1,5,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,6,7,4,1]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,7,1,4,6]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,7,1,6,4]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,7,4,1,6]=>[1,5,4,7,6,2,3]=>[2,7,1,4,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,7,4,6,1]=>[1,5,4,7,2,3,6]=>[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,7,6,1,4]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,3,7,6,4,1]=>[1,5,6,4,7,2,3]=>[2,7,1,5,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,1,3,6,7]=>[1,5,3,4,2,6,7]=>[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,1,3,7,6]=>[1,5,3,4,2,6,7]=>[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,1,6,3,7]=>[1,5,6,3,4,2,7]=>[2,7,5,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,1,6,7,3]=>[1,5,6,7,3,4,2]=>[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,1,7,3,6]=>[1,5,7,6,3,4,2]=>[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,1,7,6,3]=>[1,5,7,3,4,2,6]=>[2,7,5,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,3,1,6,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,3,1,7,6]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,3,6,1,7]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,3,6,7,1]=>[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,3,7,1,6]=>[1,5,7,6,2,3,4]=>[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,3,7,6,1]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,6,1,3,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,6,1,7,3]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,6,3,1,7]=>[1,5,3,4,6,2,7]=>[2,7,4,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,6,3,7,1]=>[1,5,3,4,6,7,2]=>[2,1,4,5,3,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,6,7,1,3]=>[1,5,7,3,4,6,2]=>[2,1,5,6,3,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,6,7,3,1]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,7,1,3,6]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,7,1,6,3]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,7,3,1,6]=>[1,5,3,4,7,6,2]=>[2,1,4,5,3,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,7,3,6,1]=>[1,5,3,4,7,2,6]=>[2,7,4,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,7,6,1,3]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,4,7,6,3,1]=>[1,5,6,3,4,7,2]=>[2,1,5,6,3,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,1,3,4,7]=>[1,5,3,6,4,2,7]=>[2,7,4,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,1,3,7,4]=>[1,5,3,6,7,4,2]=>[2,1,4,7,3,5,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,1,4,3,7]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,1,4,7,3]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,1,7,3,4]=>[1,5,7,4,2,3,6]=>[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,1,7,4,3]=>[1,5,7,3,6,4,2]=>[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,3,1,4,7]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,3,1,7,4]=>[1,5,2,3,6,7,4]=>[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,3,4,1,7]=>[1,5,4,3,6,2,7]=>[2,7,5,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,3,4,7,1]=>[1,5,4,3,6,7,2]=>[2,1,5,4,3,6,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,3,7,1,4]=>[1,5,7,4,3,6,2]=>[2,1,6,5,3,7,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,3,7,4,1]=>[1,5,7,2,3,6,4]=>[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,4,1,3,7]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,4,1,7,3]=>[1,5,2,3,6,7,4]=>[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,4,3,1,7]=>[1,5,3,6,2,4,7]=>[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,4,3,7,1]=>[1,5,3,6,7,2,4]=>[2,7,4,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,4,7,1,3]=>[1,5,7,3,6,2,4]=>[2,7,5,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,4,7,3,1]=>[1,5,7,2,3,6,4]=>[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,7,1,3,4]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,7,1,4,3]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,7,3,1,4]=>[1,5,3,6,2,4,7]=>[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,7,3,4,1]=>[1,5,3,6,4,7,2]=>[2,1,4,6,3,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,7,4,1,3]=>[1,5,4,7,3,6,2]=>[2,1,6,4,3,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,6,7,4,3,1]=>[1,5,4,7,2,3,6]=>[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,1,3,4,6]=>[1,5,3,7,6,4,2]=>[2,1,4,7,3,6,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,1,3,6,4]=>[1,5,3,7,4,2,6]=>[2,7,4,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,1,4,3,6]=>[1,5,4,2,3,7,6]=>[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,1,4,6,3]=>[1,5,4,2,3,7,6]=>[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,1,6,3,4]=>[1,5,6,3,7,4,2]=>[2,1,5,7,3,4,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,1,6,4,3]=>[1,5,6,4,2,3,7]=>[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,3,1,4,6]=>[1,5,2,3,7,6,4]=>[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,3,1,6,4]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,3,4,1,6]=>[1,5,4,3,7,6,2]=>[2,1,5,4,3,7,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,3,4,6,1]=>[1,5,4,3,7,2,6]=>[2,7,5,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,3,6,1,4]=>[1,5,6,2,3,7,4]=>[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,3,6,4,1]=>[1,5,6,4,3,7,2]=>[2,1,6,5,3,4,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,4,1,3,6]=>[1,5,2,3,7,6,4]=>[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,4,1,6,3]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,4,3,1,6]=>[1,5,3,7,6,2,4]=>[2,7,4,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,4,3,6,1]=>[1,5,3,7,2,4,6]=>[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,4,6,1,3]=>[1,5,6,2,3,7,4]=>[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,4,6,3,1]=>[1,5,6,3,7,2,4]=>[2,7,5,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,6,1,3,4]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,6,1,4,3]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,6,3,1,4]=>[1,5,3,7,4,6,2]=>[2,1,4,6,3,7,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,6,3,4,1]=>[1,5,3,7,2,4,6]=>[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,6,4,1,3]=>[1,5,4,6,2,3,7]=>[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,2,7,6,4,3,1]=>[1,5,4,6,3,7,2]=>[2,1,6,4,3,5,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,2,4,6,7]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,2,4,7,6]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,2,6,4,7]=>[1,5,6,4,2,3,7]=>[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,2,6,7,4]=>[1,5,6,7,4,2,3]=>[2,7,1,6,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,2,7,4,6]=>[1,5,7,6,4,2,3]=>[2,7,1,6,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,2,7,6,4]=>[1,5,7,4,2,3,6]=>[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,4,2,6,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,4,2,7,6]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,4,6,2,7]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,4,6,7,2]=>[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,4,7,2,6]=>[1,5,7,6,2,3,4]=>[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,4,7,6,2]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,6,2,4,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,6,2,7,4]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,6,4,2,7]=>[1,5,4,6,2,3,7]=>[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,6,4,7,2]=>[1,5,4,6,7,2,3]=>[2,7,1,4,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,6,7,2,4]=>[1,5,7,4,6,2,3]=>[2,7,1,5,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,6,7,4,2]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,7,2,4,6]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,7,2,6,4]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,7,4,2,6]=>[1,5,4,7,6,2,3]=>[2,7,1,4,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,7,4,6,2]=>[1,5,4,7,2,3,6]=>[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,7,6,2,4]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,1,7,6,4,2]=>[1,5,6,4,7,2,3]=>[2,7,1,5,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,1,4,6,7]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,1,4,7,6]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,1,6,4,7]=>[1,5,6,4,2,3,7]=>[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,1,6,7,4]=>[1,5,6,7,4,2,3]=>[2,7,1,6,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,1,7,4,6]=>[1,5,7,6,4,2,3]=>[2,7,1,6,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,1,7,6,4]=>[1,5,7,4,2,3,6]=>[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,4,1,6,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,4,1,7,6]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,4,6,1,7]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,4,6,7,1]=>[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,4,7,1,6]=>[1,5,7,6,2,3,4]=>[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,4,7,6,1]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,6,1,4,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,6,1,7,4]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,6,4,1,7]=>[1,5,4,6,2,3,7]=>[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,6,4,7,1]=>[1,5,4,6,7,2,3]=>[2,7,1,4,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,6,7,1,4]=>[1,5,7,4,6,2,3]=>[2,7,1,5,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,6,7,4,1]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,7,1,4,6]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,7,1,6,4]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,7,4,1,6]=>[1,5,4,7,6,2,3]=>[2,7,1,4,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,7,4,6,1]=>[1,5,4,7,2,3,6]=>[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,7,6,1,4]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,2,7,6,4,1]=>[1,5,6,4,7,2,3]=>[2,7,1,5,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,1,2,6,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,1,2,7,6]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,1,6,2,7]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,1,6,7,2]=>[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,1,7,2,6]=>[1,5,7,6,2,3,4]=>[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,1,7,6,2]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,2,1,6,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,2,1,7,6]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,2,6,1,7]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,2,6,7,1]=>[1,5,6,7,2,3,4]=>[2,6,7,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,2,7,1,6]=>[1,5,7,6,2,3,4]=>[2,6,7,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,2,7,6,1]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,6,1,2,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,6,1,7,2]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,6,2,1,7]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,6,2,7,1]=>[1,5,2,3,4,6,7]=>[2,4,5,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,6,7,1,2]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,6,7,2,1]=>[1,5,7,2,3,4,6]=>[2,5,6,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,7,1,2,6]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,7,1,6,2]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,7,2,1,6]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,7,2,6,1]=>[1,5,2,3,4,7,6]=>[2,4,5,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,7,6,1,2]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,4,7,6,2,1]=>[1,5,6,2,3,4,7]=>[2,5,6,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,1,2,4,7]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,1,2,7,4]=>[1,5,2,3,6,7,4]=>[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,1,4,2,7]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,1,4,7,2]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,1,7,2,4]=>[1,5,7,4,2,3,6]=>[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,1,7,4,2]=>[1,5,7,2,3,6,4]=>[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,2,1,4,7]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,2,1,7,4]=>[1,5,2,3,6,7,4]=>[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,2,4,1,7]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,2,4,7,1]=>[1,5,4,2,3,6,7]=>[2,5,6,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,2,7,1,4]=>[1,5,7,4,2,3,6]=>[2,6,7,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,2,7,4,1]=>[1,5,7,2,3,6,4]=>[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,4,1,2,7]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,4,1,7,2]=>[1,5,2,3,6,7,4]=>[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,4,2,1,7]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,4,2,7,1]=>[1,5,2,3,6,7,4]=>[2,4,5,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,4,7,1,2]=>[1,5,7,2,3,6,4]=>[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,4,7,2,1]=>[1,5,7,2,3,6,4]=>[2,5,6,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,7,1,2,4]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,7,1,4,2]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,7,2,1,4]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,7,2,4,1]=>[1,5,2,3,6,4,7]=>[2,4,5,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,7,4,1,2]=>[1,5,4,7,2,3,6]=>[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,6,7,4,2,1]=>[1,5,4,7,2,3,6]=>[2,6,7,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,1,2,4,6]=>[1,5,2,3,7,6,4]=>[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,1,2,6,4]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,1,4,2,6]=>[1,5,4,2,3,7,6]=>[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,1,4,6,2]=>[1,5,4,2,3,7,6]=>[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,1,6,2,4]=>[1,5,6,2,3,7,4]=>[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,1,6,4,2]=>[1,5,6,4,2,3,7]=>[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,2,1,4,6]=>[1,5,2,3,7,6,4]=>[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,2,1,6,4]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,2,4,1,6]=>[1,5,4,2,3,7,6]=>[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,2,4,6,1]=>[1,5,4,2,3,7,6]=>[2,5,6,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,2,6,1,4]=>[1,5,6,2,3,7,4]=>[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,2,6,4,1]=>[1,5,6,4,2,3,7]=>[2,6,7,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,4,1,2,6]=>[1,5,2,3,7,6,4]=>[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,4,1,6,2]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,4,2,1,6]=>[1,5,2,3,7,6,4]=>[2,4,5,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,4,2,6,1]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,4,6,1,2]=>[1,5,6,2,3,7,4]=>[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,4,6,2,1]=>[1,5,6,2,3,7,4]=>[2,5,6,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,6,1,2,4]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,6,1,4,2]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,6,2,1,4]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,6,2,4,1]=>[1,5,2,3,7,4,6]=>[2,4,5,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,6,4,1,2]=>[1,5,4,6,2,3,7]=>[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,3,7,6,4,2,1]=>[1,5,4,6,2,3,7]=>[2,6,7,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,2,3,6,7]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,2,3,7,6]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,2,6,3,7]=>[1,5,6,3,2,4,7]=>[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,2,6,7,3]=>[1,5,6,7,3,2,4]=>[2,7,6,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,2,7,3,6]=>[1,5,7,6,3,2,4]=>[2,7,6,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,2,7,6,3]=>[1,5,7,3,2,4,6]=>[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,3,2,6,7]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,3,2,7,6]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,3,6,2,7]=>[1,5,6,2,4,3,7]=>[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,3,6,7,2]=>[1,5,6,7,2,4,3]=>[2,6,1,7,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,3,7,2,6]=>[1,5,7,6,2,4,3]=>[2,6,1,7,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,3,7,6,2]=>[1,5,7,2,4,3,6]=>[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,6,2,3,7]=>[1,5,2,4,6,3,7]=>[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,6,2,7,3]=>[1,5,2,4,6,7,3]=>[2,4,1,5,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,6,3,2,7]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,6,3,7,2]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,6,7,2,3]=>[1,5,7,3,2,4,6]=>[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,6,7,3,2]=>[1,5,7,2,4,6,3]=>[2,5,1,6,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,7,2,3,6]=>[1,5,2,4,7,6,3]=>[2,4,1,5,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,7,2,6,3]=>[1,5,2,4,7,3,6]=>[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,7,3,2,6]=>[1,5,3,2,4,7,6]=>[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,7,3,6,2]=>[1,5,3,2,4,7,6]=>[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,7,6,2,3]=>[1,5,6,2,4,7,3]=>[2,5,1,6,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,1,7,6,3,2]=>[1,5,6,3,2,4,7]=>[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,1,3,6,7]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,1,3,7,6]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,1,6,3,7]=>[1,5,6,3,2,4,7]=>[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,1,6,7,3]=>[1,5,6,7,3,2,4]=>[2,7,6,1,3,4,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,1,7,3,6]=>[1,5,7,6,3,2,4]=>[2,7,6,1,3,5,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,1,7,6,3]=>[1,5,7,3,2,4,6]=>[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,3,1,6,7]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,3,1,7,6]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,3,6,1,7]=>[1,5,6,2,4,3,7]=>[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,3,6,7,1]=>[1,5,6,7,2,4,3]=>[2,6,1,7,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,3,7,1,6]=>[1,5,7,6,2,4,3]=>[2,6,1,7,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,3,7,6,1]=>[1,5,7,2,4,3,6]=>[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,6,1,3,7]=>[1,5,2,4,6,3,7]=>[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,6,1,7,3]=>[1,5,2,4,6,7,3]=>[2,4,1,5,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,6,3,1,7]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,6,3,7,1]=>[1,5,3,2,4,6,7]=>[2,5,4,6,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,6,7,1,3]=>[1,5,7,3,2,4,6]=>[2,6,5,7,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,6,7,3,1]=>[1,5,7,2,4,6,3]=>[2,5,1,6,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,7,1,3,6]=>[1,5,2,4,7,6,3]=>[2,4,1,5,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,7,1,6,3]=>[1,5,2,4,7,3,6]=>[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,7,3,1,6]=>[1,5,3,2,4,7,6]=>[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,7,3,6,1]=>[1,5,3,2,4,7,6]=>[2,5,4,6,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,7,6,1,3]=>[1,5,6,2,4,7,3]=>[2,5,1,6,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,2,7,6,3,1]=>[1,5,6,3,2,4,7]=>[2,6,5,7,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,1,2,6,7]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,1,2,7,6]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,1,6,2,7]=>[1,5,6,2,4,3,7]=>[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,1,6,7,2]=>[1,5,6,7,2,4,3]=>[2,6,1,7,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,1,7,2,6]=>[1,5,7,6,2,4,3]=>[2,6,1,7,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,1,7,6,2]=>[1,5,7,2,4,3,6]=>[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,2,1,6,7]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,2,1,7,6]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,2,6,1,7]=>[1,5,6,2,4,3,7]=>[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,2,6,7,1]=>[1,5,6,7,2,4,3]=>[2,6,1,7,3,4,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,2,7,1,6]=>[1,5,7,6,2,4,3]=>[2,6,1,7,3,5,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,2,7,6,1]=>[1,5,7,2,4,3,6]=>[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,6,1,2,7]=>[1,5,2,4,6,3,7]=>[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,6,1,7,2]=>[1,5,2,4,6,7,3]=>[2,4,1,5,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,6,2,1,7]=>[1,5,2,4,6,3,7]=>[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,6,2,7,1]=>[1,5,2,4,6,7,3]=>[2,4,1,5,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,6,7,1,2]=>[1,5,7,2,4,6,3]=>[2,5,1,6,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,6,7,2,1]=>[1,5,7,2,4,6,3]=>[2,5,1,6,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,7,1,2,6]=>[1,5,2,4,7,6,3]=>[2,4,1,5,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,7,1,6,2]=>[1,5,2,4,7,3,6]=>[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,7,2,1,6]=>[1,5,2,4,7,6,3]=>[2,4,1,5,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,7,2,6,1]=>[1,5,2,4,7,3,6]=>[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,7,6,1,2]=>[1,5,6,2,4,7,3]=>[2,5,1,6,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,3,7,6,2,1]=>[1,5,6,2,4,7,3]=>[2,5,1,6,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,1,2,3,7]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,1,2,7,3]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,1,3,2,7]=>[1,5,3,6,2,4,7]=>[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,1,3,7,2]=>[1,5,3,6,7,2,4]=>[2,7,4,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,1,7,2,3]=>[1,5,7,3,6,2,4]=>[2,7,5,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,1,7,3,2]=>[1,5,7,2,4,3,6]=>[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,2,1,3,7]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,2,1,7,3]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,2,3,1,7]=>[1,5,3,6,2,4,7]=>[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,2,3,7,1]=>[1,5,3,6,7,2,4]=>[2,7,4,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,2,7,1,3]=>[1,5,7,3,6,2,4]=>[2,7,5,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,2,7,3,1]=>[1,5,7,2,4,3,6]=>[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,3,1,2,7]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,3,1,7,2]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,3,2,1,7]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,3,2,7,1]=>[1,5,2,4,3,6,7]=>[2,4,6,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,3,7,1,2]=>[1,5,7,2,4,3,6]=>[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,3,7,2,1]=>[1,5,7,2,4,3,6]=>[2,5,7,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,7,1,2,3]=>[1,5,2,4,7,3,6]=>[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,7,1,3,2]=>[1,5,2,4,7,3,6]=>[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,7,2,1,3]=>[1,5,2,4,7,3,6]=>[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,7,2,3,1]=>[1,5,2,4,7,3,6]=>[2,4,7,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,7,3,1,2]=>[1,5,3,6,2,4,7]=>[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,6,7,3,2,1]=>[1,5,3,6,2,4,7]=>[2,6,4,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,1,2,3,6]=>[1,5,2,4,3,7,6]=>[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,1,2,6,3]=>[1,5,2,4,3,7,6]=>[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,1,3,2,6]=>[1,5,3,7,6,2,4]=>[2,7,4,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,1,3,6,2]=>[1,5,3,7,2,4,6]=>[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,1,6,2,3]=>[1,5,6,2,4,3,7]=>[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,1,6,3,2]=>[1,5,6,3,7,2,4]=>[2,7,5,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,2,1,3,6]=>[1,5,2,4,3,7,6]=>[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,2,1,6,3]=>[1,5,2,4,3,7,6]=>[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,2,3,1,6]=>[1,5,3,7,6,2,4]=>[2,7,4,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,2,3,6,1]=>[1,5,3,7,2,4,6]=>[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,2,6,1,3]=>[1,5,6,2,4,3,7]=>[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,2,6,3,1]=>[1,5,6,3,7,2,4]=>[2,7,5,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,3,1,2,6]=>[1,5,2,4,3,7,6]=>[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,3,1,6,2]=>[1,5,2,4,3,7,6]=>[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,3,2,1,6]=>[1,5,2,4,3,7,6]=>[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,3,2,6,1]=>[1,5,2,4,3,7,6]=>[2,4,6,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,3,6,1,2]=>[1,5,6,2,4,3,7]=>[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,3,6,2,1]=>[1,5,6,2,4,3,7]=>[2,5,7,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,6,1,2,3]=>[1,5,2,4,6,3,7]=>[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,6,1,3,2]=>[1,5,2,4,6,3,7]=>[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,6,2,1,3]=>[1,5,2,4,6,3,7]=>[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,6,2,3,1]=>[1,5,2,4,6,3,7]=>[2,4,7,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,6,3,1,2]=>[1,5,3,7,2,4,6]=>[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,4,7,6,3,2,1]=>[1,5,3,7,2,4,6]=>[2,6,4,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,2,3,4,7]=>[1,5,3,2,6,4,7]=>[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,2,3,7,4]=>[1,5,3,2,6,7,4]=>[2,5,4,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,2,4,3,7]=>[1,5,4,2,6,3,7]=>[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,2,4,7,3]=>[1,5,4,2,6,7,3]=>[2,5,1,4,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,2,7,3,4]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,2,7,4,3]=>[1,5,7,3,2,6,4]=>[2,6,5,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,3,2,4,7]=>[1,5,2,6,4,3,7]=>[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,3,2,7,4]=>[1,5,2,6,7,4,3]=>[2,4,1,7,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,3,4,2,7]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,3,4,7,2]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,3,7,2,4]=>[1,5,7,4,3,2,6]=>[2,7,6,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,3,7,4,2]=>[1,5,7,2,6,4,3]=>[2,5,1,7,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,4,2,3,7]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,4,2,7,3]=>[1,5,2,6,7,3,4]=>[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,4,3,2,7]=>[1,5,3,2,6,4,7]=>[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,4,3,7,2]=>[1,5,3,2,6,7,4]=>[2,5,4,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,4,7,2,3]=>[1,5,7,3,2,6,4]=>[2,6,5,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,4,7,3,2]=>[1,5,7,2,6,3,4]=>[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,7,2,3,4]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,7,2,4,3]=>[1,5,2,6,4,7,3]=>[2,4,1,6,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,7,3,2,4]=>[1,5,3,2,6,4,7]=>[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,7,3,4,2]=>[1,5,3,2,6,4,7]=>[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,7,4,2,3]=>[1,5,4,7,3,2,6]=>[2,7,6,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,1,7,4,3,2]=>[1,5,4,7,2,6,3]=>[2,6,1,4,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,1,3,4,7]=>[1,5,3,2,6,4,7]=>[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,1,3,7,4]=>[1,5,3,2,6,7,4]=>[2,5,4,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,1,4,3,7]=>[1,5,4,2,6,3,7]=>[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,1,4,7,3]=>[1,5,4,2,6,7,3]=>[2,5,1,4,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,1,7,3,4]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,1,7,4,3]=>[1,5,7,3,2,6,4]=>[2,6,5,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,3,1,4,7]=>[1,5,2,6,4,3,7]=>[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,3,1,7,4]=>[1,5,2,6,7,4,3]=>[2,4,1,7,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,3,4,1,7]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,3,4,7,1]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,3,7,1,4]=>[1,5,7,4,3,2,6]=>[2,7,6,5,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,3,7,4,1]=>[1,5,7,2,6,4,3]=>[2,5,1,7,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,4,1,3,7]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,4,1,7,3]=>[1,5,2,6,7,3,4]=>[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,4,3,1,7]=>[1,5,3,2,6,4,7]=>[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,4,3,7,1]=>[1,5,3,2,6,7,4]=>[2,5,4,1,3,6,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,4,7,1,3]=>[1,5,7,3,2,6,4]=>[2,6,5,1,3,7,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,4,7,3,1]=>[1,5,7,2,6,3,4]=>[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,7,1,3,4]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,7,1,4,3]=>[1,5,2,6,4,7,3]=>[2,4,1,6,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,7,3,1,4]=>[1,5,3,2,6,4,7]=>[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,7,3,4,1]=>[1,5,3,2,6,4,7]=>[2,5,4,7,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,7,4,1,3]=>[1,5,4,7,3,2,6]=>[2,7,6,4,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,2,7,4,3,1]=>[1,5,4,7,2,6,3]=>[2,6,1,4,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,1,2,4,7]=>[1,5,2,6,4,3,7]=>[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,1,2,7,4]=>[1,5,2,6,7,4,3]=>[2,4,1,7,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,1,4,2,7]=>[1,5,4,2,6,3,7]=>[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,1,4,7,2]=>[1,5,4,2,6,7,3]=>[2,5,1,4,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,1,7,2,4]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,1,7,4,2]=>[1,5,7,2,6,4,3]=>[2,5,1,7,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,2,1,4,7]=>[1,5,2,6,4,3,7]=>[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,2,1,7,4]=>[1,5,2,6,7,4,3]=>[2,4,1,7,3,5,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,2,4,1,7]=>[1,5,4,2,6,3,7]=>[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,2,4,7,1]=>[1,5,4,2,6,7,3]=>[2,5,1,4,3,6,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,2,7,1,4]=>[1,5,7,4,2,6,3]=>[2,6,1,5,3,7,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,2,7,4,1]=>[1,5,7,2,6,4,3]=>[2,5,1,7,3,6,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,4,1,2,7]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,4,1,7,2]=>[1,5,2,6,7,3,4]=>[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,4,2,1,7]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,4,2,7,1]=>[1,5,2,6,7,3,4]=>[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,4,7,1,2]=>[1,5,7,2,6,3,4]=>[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,4,7,2,1]=>[1,5,7,2,6,3,4]=>[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,7,1,2,4]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,7,1,4,2]=>[1,5,2,6,4,7,3]=>[2,4,1,6,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,7,2,1,4]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,7,2,4,1]=>[1,5,2,6,4,7,3]=>[2,4,1,6,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,7,4,1,2]=>[1,5,4,7,2,6,3]=>[2,6,1,4,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,3,7,4,2,1]=>[1,5,4,7,2,6,3]=>[2,6,1,4,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,1,2,3,7]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,1,2,7,3]=>[1,5,2,6,7,3,4]=>[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,1,3,2,7]=>[1,5,3,4,2,6,7]=>[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,1,3,7,2]=>[1,5,3,4,2,6,7]=>[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,1,7,2,3]=>[1,5,7,3,4,2,6]=>[2,7,5,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,1,7,3,2]=>[1,5,7,2,6,3,4]=>[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,2,1,3,7]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,2,1,7,3]=>[1,5,2,6,7,3,4]=>[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,2,3,1,7]=>[1,5,3,4,2,6,7]=>[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,2,3,7,1]=>[1,5,3,4,2,6,7]=>[2,6,4,5,3,7,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,2,7,1,3]=>[1,5,7,3,4,2,6]=>[2,7,5,6,3,1,4]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,2,7,3,1]=>[1,5,7,2,6,3,4]=>[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,3,1,2,7]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,3,1,7,2]=>[1,5,2,6,7,3,4]=>[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,3,2,1,7]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,3,2,7,1]=>[1,5,2,6,7,3,4]=>[2,4,7,1,3,5,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,3,7,1,2]=>[1,5,7,2,6,3,4]=>[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,3,7,2,1]=>[1,5,7,2,6,3,4]=>[2,5,7,1,3,6,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,7,1,2,3]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,7,1,3,2]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,7,2,1,3]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,7,2,3,1]=>[1,5,2,6,3,4,7]=>[2,4,6,7,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,7,3,1,2]=>[1,5,3,4,7,2,6]=>[2,7,4,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,4,7,3,2,1]=>[1,5,3,4,7,2,6]=>[2,7,4,5,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,1,2,3,4]=>[1,5,2,6,3,7,4]=>[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,1,2,4,3]=>[1,5,2,6,4,3,7]=>[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,1,3,2,4]=>[1,5,3,7,4,2,6]=>[2,7,4,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,1,3,4,2]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,1,4,2,3]=>[1,5,4,2,6,3,7]=>[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,1,4,3,2]=>[1,5,4,2,6,3,7]=>[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,2,1,3,4]=>[1,5,2,6,3,7,4]=>[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,2,1,4,3]=>[1,5,2,6,4,3,7]=>[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,2,3,1,4]=>[1,5,3,7,4,2,6]=>[2,7,4,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,2,3,4,1]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,2,4,1,3]=>[1,5,4,2,6,3,7]=>[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,2,4,3,1]=>[1,5,4,2,6,3,7]=>[2,5,7,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,3,1,2,4]=>[1,5,2,6,3,7,4]=>[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,3,1,4,2]=>[1,5,2,6,4,3,7]=>[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,3,2,1,4]=>[1,5,2,6,3,7,4]=>[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,3,2,4,1]=>[1,5,2,6,4,3,7]=>[2,4,7,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,3,4,1,2]=>[1,5,4,3,7,2,6]=>[2,7,5,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,3,4,2,1]=>[1,5,4,3,7,2,6]=>[2,7,5,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,4,1,2,3]=>[1,5,2,6,3,7,4]=>[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,4,1,3,2]=>[1,5,2,6,3,7,4]=>[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,4,2,1,3]=>[1,5,2,6,3,7,4]=>[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,4,2,3,1]=>[1,5,2,6,3,7,4]=>[2,4,6,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,4,3,1,2]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,6,7,4,3,2,1]=>[1,5,3,7,2,6,4]=>[2,6,4,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,2,3,4,6]=>[1,5,3,2,7,6,4]=>[2,5,4,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,2,3,6,4]=>[1,5,3,2,7,4,6]=>[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,2,4,3,6]=>[1,5,4,2,7,6,3]=>[2,5,1,4,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,2,4,6,3]=>[1,5,4,2,7,3,6]=>[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,2,6,3,4]=>[1,5,6,3,2,7,4]=>[2,6,5,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,2,6,4,3]=>[1,5,6,4,2,7,3]=>[2,6,1,5,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,3,2,4,6]=>[1,5,2,7,6,4,3]=>[2,4,1,7,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,3,2,6,4]=>[1,5,2,7,4,3,6]=>[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,3,4,2,6]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,3,4,6,2]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,3,6,2,4]=>[1,5,6,2,7,4,3]=>[2,5,1,7,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,3,6,4,2]=>[1,5,6,4,3,2,7]=>[2,7,6,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,4,2,3,6]=>[1,5,2,7,6,3,4]=>[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,4,2,6,3]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,4,3,2,6]=>[1,5,3,2,7,6,4]=>[2,5,4,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,4,3,6,2]=>[1,5,3,2,7,4,6]=>[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,4,6,2,3]=>[1,5,6,2,7,3,4]=>[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,4,6,3,2]=>[1,5,6,3,2,7,4]=>[2,6,5,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,6,2,3,4]=>[1,5,2,7,4,6,3]=>[2,4,1,6,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,6,2,4,3]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,6,3,2,4]=>[1,5,3,2,7,4,6]=>[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,6,3,4,2]=>[1,5,3,2,7,4,6]=>[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,6,4,2,3]=>[1,5,4,6,2,7,3]=>[2,6,1,4,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,1,6,4,3,2]=>[1,5,4,6,3,2,7]=>[2,7,6,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,1,3,4,6]=>[1,5,3,2,7,6,4]=>[2,5,4,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,1,3,6,4]=>[1,5,3,2,7,4,6]=>[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,1,4,3,6]=>[1,5,4,2,7,6,3]=>[2,5,1,4,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,1,4,6,3]=>[1,5,4,2,7,3,6]=>[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,1,6,3,4]=>[1,5,6,3,2,7,4]=>[2,6,5,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,1,6,4,3]=>[1,5,6,4,2,7,3]=>[2,6,1,5,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,3,1,4,6]=>[1,5,2,7,6,4,3]=>[2,4,1,7,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,3,1,6,4]=>[1,5,2,7,4,3,6]=>[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,3,4,1,6]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,3,4,6,1]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,3,6,1,4]=>[1,5,6,2,7,4,3]=>[2,5,1,7,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,3,6,4,1]=>[1,5,6,4,3,2,7]=>[2,7,6,5,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,4,1,3,6]=>[1,5,2,7,6,3,4]=>[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,4,1,6,3]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,4,3,1,6]=>[1,5,3,2,7,6,4]=>[2,5,4,1,3,7,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,4,3,6,1]=>[1,5,3,2,7,4,6]=>[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,4,6,1,3]=>[1,5,6,2,7,3,4]=>[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,4,6,3,1]=>[1,5,6,3,2,7,4]=>[2,6,5,1,3,4,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,6,1,3,4]=>[1,5,2,7,4,6,3]=>[2,4,1,6,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,6,1,4,3]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,6,3,1,4]=>[1,5,3,2,7,4,6]=>[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,6,3,4,1]=>[1,5,3,2,7,4,6]=>[2,5,4,7,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,6,4,1,3]=>[1,5,4,6,2,7,3]=>[2,6,1,4,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,2,6,4,3,1]=>[1,5,4,6,3,2,7]=>[2,7,6,4,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,1,2,4,6]=>[1,5,2,7,6,4,3]=>[2,4,1,7,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,1,2,6,4]=>[1,5,2,7,4,3,6]=>[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,1,4,2,6]=>[1,5,4,2,7,6,3]=>[2,5,1,4,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,1,4,6,2]=>[1,5,4,2,7,3,6]=>[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,1,6,2,4]=>[1,5,6,2,7,4,3]=>[2,5,1,7,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,1,6,4,2]=>[1,5,6,4,2,7,3]=>[2,6,1,5,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,2,1,4,6]=>[1,5,2,7,6,4,3]=>[2,4,1,7,3,6,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,2,1,6,4]=>[1,5,2,7,4,3,6]=>[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,2,4,1,6]=>[1,5,4,2,7,6,3]=>[2,5,1,4,3,7,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,2,4,6,1]=>[1,5,4,2,7,3,6]=>[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,2,6,1,4]=>[1,5,6,2,7,4,3]=>[2,5,1,7,3,4,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,2,6,4,1]=>[1,5,6,4,2,7,3]=>[2,6,1,5,3,4,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,4,1,2,6]=>[1,5,2,7,6,3,4]=>[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,4,1,6,2]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,4,2,1,6]=>[1,5,2,7,6,3,4]=>[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,4,2,6,1]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,4,6,1,2]=>[1,5,6,2,7,3,4]=>[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,4,6,2,1]=>[1,5,6,2,7,3,4]=>[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,6,1,2,4]=>[1,5,2,7,4,6,3]=>[2,4,1,6,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,6,1,4,2]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,6,2,1,4]=>[1,5,2,7,4,6,3]=>[2,4,1,6,3,7,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,6,2,4,1]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,6,4,1,2]=>[1,5,4,6,2,7,3]=>[2,6,1,4,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,3,6,4,2,1]=>[1,5,4,6,2,7,3]=>[2,6,1,4,3,5,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,1,2,3,6]=>[1,5,2,7,6,3,4]=>[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,1,2,6,3]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,1,3,2,6]=>[1,5,3,4,2,7,6]=>[2,6,4,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,1,3,6,2]=>[1,5,3,4,2,7,6]=>[2,6,4,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,1,6,2,3]=>[1,5,6,2,7,3,4]=>[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,1,6,3,2]=>[1,5,6,3,4,2,7]=>[2,7,5,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,2,1,3,6]=>[1,5,2,7,6,3,4]=>[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,2,1,6,3]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,2,3,1,6]=>[1,5,3,4,2,7,6]=>[2,6,4,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,2,3,6,1]=>[1,5,3,4,2,7,6]=>[2,6,4,5,3,1,7]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,2,6,1,3]=>[1,5,6,2,7,3,4]=>[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,2,6,3,1]=>[1,5,6,3,4,2,7]=>[2,7,5,6,3,4,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,3,1,2,6]=>[1,5,2,7,6,3,4]=>[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,3,1,6,2]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,3,2,1,6]=>[1,5,2,7,6,3,4]=>[2,4,7,1,3,6,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,3,2,6,1]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,3,6,1,2]=>[1,5,6,2,7,3,4]=>[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,3,6,2,1]=>[1,5,6,2,7,3,4]=>[2,5,7,1,3,4,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,6,1,2,3]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,6,1,3,2]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,6,2,1,3]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,6,2,3,1]=>[1,5,2,7,3,4,6]=>[2,4,6,7,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,6,3,1,2]=>[1,5,3,4,6,2,7]=>[2,7,4,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,4,6,3,2,1]=>[1,5,3,4,6,2,7]=>[2,7,4,5,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,1,2,3,4]=>[1,5,2,7,4,3,6]=>[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,1,2,4,3]=>[1,5,2,7,3,6,4]=>[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,1,3,2,4]=>[1,5,3,6,2,7,4]=>[2,6,4,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,1,3,4,2]=>[1,5,3,6,4,2,7]=>[2,7,4,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,1,4,2,3]=>[1,5,4,2,7,3,6]=>[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,1,4,3,2]=>[1,5,4,2,7,3,6]=>[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,2,1,3,4]=>[1,5,2,7,4,3,6]=>[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,2,1,4,3]=>[1,5,2,7,3,6,4]=>[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,2,3,1,4]=>[1,5,3,6,2,7,4]=>[2,6,4,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,2,3,4,1]=>[1,5,3,6,4,2,7]=>[2,7,4,6,3,5,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,2,4,1,3]=>[1,5,4,2,7,3,6]=>[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,2,4,3,1]=>[1,5,4,2,7,3,6]=>[2,5,7,4,3,1,6]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,3,1,2,4]=>[1,5,2,7,4,3,6]=>[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,3,1,4,2]=>[1,5,2,7,3,6,4]=>[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,3,2,1,4]=>[1,5,2,7,4,3,6]=>[2,4,7,6,3,1,5]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,3,2,4,1]=>[1,5,2,7,3,6,4]=>[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,3,4,1,2]=>[1,5,4,3,6,2,7]=>[2,7,5,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,3,4,2,1]=>[1,5,4,3,6,2,7]=>[2,7,5,4,3,6,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,4,1,2,3]=>[1,5,2,7,3,6,4]=>[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,4,1,3,2]=>[1,5,2,7,3,6,4]=>[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,4,2,1,3]=>[1,5,2,7,3,6,4]=>[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,4,2,3,1]=>[1,5,2,7,3,6,4]=>[2,4,6,1,3,7,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,4,3,1,2]=>[1,5,3,6,2,7,4]=>[2,6,4,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[5,7,6,4,3,2,1]=>[1,5,3,6,2,7,4]=>[2,6,4,1,3,5,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>[2,7,6,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,3,4,7,5]=>[1,6,7,5,4,3,2]=>[2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,3,5,4,7]=>[1,6,4,3,2,5,7]=>[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,3,5,7,4]=>[1,6,7,4,3,2,5]=>[2,7,6,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,3,7,4,5]=>[1,6,4,3,2,5,7]=>[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,3,7,5,4]=>[1,6,5,7,4,3,2]=>[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,3,5,7]=>[1,6,5,3,2,4,7]=>[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,3,7,5]=>[1,6,7,5,3,2,4]=>[2,7,6,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,5,3,7]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,5,7,3]=>[1,6,7,3,2,4,5]=>[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,7,3,5]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,4,7,5,3]=>[1,6,5,7,3,2,4]=>[2,7,6,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,3,4,7]=>[1,6,4,5,3,2,7]=>[2,7,6,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,3,7,4]=>[1,6,7,4,5,3,2]=>[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,4,3,7]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,4,7,3]=>[1,6,7,3,2,4,5]=>[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,7,3,4]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,5,7,4,3]=>[1,6,4,5,7,3,2]=>[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,3,4,5]=>[1,6,4,7,5,3,2]=>[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,3,5,4]=>[1,6,5,3,2,4,7]=>[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,4,3,5]=>[1,6,3,2,4,7,5]=>[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,4,5,3]=>[1,6,5,4,7,3,2]=>[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,5,3,4]=>[1,6,3,2,4,7,5]=>[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,2,7,5,4,3]=>[1,6,4,7,3,2,5]=>[2,7,6,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,4,5,7]=>[1,6,5,4,2,3,7]=>[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,4,7,5]=>[1,6,7,5,4,2,3]=>[2,7,1,6,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,5,4,7]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,5,7,4]=>[1,6,7,4,2,3,5]=>[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,7,4,5]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,2,7,5,4]=>[1,6,5,7,4,2,3]=>[2,7,1,6,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,2,5,7]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,2,7,5]=>[1,6,7,5,2,3,4]=>[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,5,2,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,5,7,2]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,7,2,5]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,4,7,5,2]=>[1,6,5,7,2,3,4]=>[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,2,4,7]=>[1,6,4,5,2,3,7]=>[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,2,7,4]=>[1,6,7,4,5,2,3]=>[2,7,1,5,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,4,2,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,4,7,2]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,7,2,4]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,5,7,4,2]=>[1,6,4,5,7,2,3]=>[2,7,1,4,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,2,4,5]=>[1,6,4,7,5,2,3]=>[2,7,1,4,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,2,5,4]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,4,2,5]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,4,5,2]=>[1,6,5,4,7,2,3]=>[2,7,1,5,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,5,2,4]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,3,7,5,4,2]=>[1,6,4,7,2,3,5]=>[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,3,5,7]=>[1,6,5,3,4,2,7]=>[2,7,5,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,3,7,5]=>[1,6,7,5,3,4,2]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,5,3,7]=>[1,6,3,4,2,5,7]=>[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,5,7,3]=>[1,6,7,3,4,2,5]=>[2,7,5,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,7,3,5]=>[1,6,3,4,2,5,7]=>[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,2,7,5,3]=>[1,6,5,7,3,4,2]=>[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,2,5,7]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,2,7,5]=>[1,6,7,5,2,3,4]=>[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,5,2,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,5,7,2]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,7,2,5]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,3,7,5,2]=>[1,6,5,7,2,3,4]=>[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>[2,7,4,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,2,7,3]=>[1,6,7,3,4,5,2]=>[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,3,2,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,3,7,2]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,5,7,3,2]=>[1,6,3,4,5,7,2]=>[2,1,4,5,6,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,2,3,5]=>[1,6,3,4,7,5,2]=>[2,1,4,5,7,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,2,5,3]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,3,2,5]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,3,5,2]=>[1,6,5,3,4,7,2]=>[2,1,5,6,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,4,7,5,3,2]=>[1,6,3,4,7,2,5]=>[2,7,4,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,3,4,7]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,3,7,4]=>[1,6,7,4,2,3,5]=>[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,4,3,7]=>[1,6,3,5,4,2,7]=>[2,7,4,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,4,7,3]=>[1,6,7,3,5,4,2]=>[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,7,3,4]=>[1,6,3,5,7,4,2]=>[2,1,4,7,5,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,2,7,4,3]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,2,4,7]=>[1,6,4,3,5,2,7]=>[2,7,5,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,2,7,4]=>[1,6,7,4,3,5,2]=>[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,4,2,7]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,4,7,2]=>[1,6,7,2,3,5,4]=>[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,7,2,4]=>[1,6,2,3,5,7,4]=>[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,3,7,4,2]=>[1,6,4,3,5,7,2]=>[2,1,5,4,6,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,2,3,7]=>[1,6,3,5,2,4,7]=>[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,2,7,3]=>[1,6,7,3,5,2,4]=>[2,7,5,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,3,2,7]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,3,7,2]=>[1,6,7,2,3,5,4]=>[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,7,2,3]=>[1,6,2,3,5,7,4]=>[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,4,7,3,2]=>[1,6,3,5,7,2,4]=>[2,7,4,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,2,3,4]=>[1,6,3,5,2,4,7]=>[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,2,4,3]=>[1,6,4,7,3,5,2]=>[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,3,2,4]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,3,4,2]=>[1,6,4,7,2,3,5]=>[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,4,2,3]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,5,7,4,3,2]=>[1,6,3,5,4,7,2]=>[2,1,4,6,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,3,4,5]=>[1,6,4,2,3,7,5]=>[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,3,5,4]=>[1,6,5,3,7,4,2]=>[2,1,5,7,4,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,4,3,5]=>[1,6,3,7,5,4,2]=>[2,1,4,7,6,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,4,5,3]=>[1,6,5,4,2,3,7]=>[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,5,3,4]=>[1,6,3,7,4,2,5]=>[2,7,4,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,2,5,4,3]=>[1,6,4,2,3,7,5]=>[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,2,4,5]=>[1,6,4,3,7,5,2]=>[2,1,5,4,7,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,2,5,4]=>[1,6,5,2,3,7,4]=>[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,4,2,5]=>[1,6,2,3,7,5,4]=>[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,4,5,2]=>[1,6,5,4,3,7,2]=>[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,5,2,4]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,3,5,4,2]=>[1,6,4,3,7,2,5]=>[2,7,5,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,2,3,5]=>[1,6,3,7,5,2,4]=>[2,7,4,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,2,5,3]=>[1,6,5,2,3,7,4]=>[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,3,2,5]=>[1,6,2,3,7,5,4]=>[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,3,5,2]=>[1,6,5,3,7,2,4]=>[2,7,5,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,5,2,3]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,4,5,3,2]=>[1,6,3,7,2,4,5]=>[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,2,3,4]=>[1,6,3,7,4,5,2]=>[2,1,4,6,7,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,2,4,3]=>[1,6,4,5,2,3,7]=>[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,3,2,4]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,3,4,2]=>[1,6,4,5,3,7,2]=>[2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,4,2,3]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,1,7,5,4,3,2]=>[1,6,3,7,2,4,5]=>[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,3,4,5,7]=>[1,6,5,4,3,2,7]=>[2,7,6,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,3,4,7,5]=>[1,6,7,5,4,3,2]=>[2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,3,5,4,7]=>[1,6,4,3,2,5,7]=>[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,3,5,7,4]=>[1,6,7,4,3,2,5]=>[2,7,6,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,3,7,4,5]=>[1,6,4,3,2,5,7]=>[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,3,7,5,4]=>[1,6,5,7,4,3,2]=>[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,4,3,5,7]=>[1,6,5,3,2,4,7]=>[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,4,3,7,5]=>[1,6,7,5,3,2,4]=>[2,7,6,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,4,5,3,7]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,4,5,7,3]=>[1,6,7,3,2,4,5]=>[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,4,7,3,5]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,4,7,5,3]=>[1,6,5,7,3,2,4]=>[2,7,6,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,5,3,4,7]=>[1,6,4,5,3,2,7]=>[2,7,6,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,5,3,7,4]=>[1,6,7,4,5,3,2]=>[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,5,4,3,7]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,5,4,7,3]=>[1,6,7,3,2,4,5]=>[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,5,7,3,4]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,5,7,4,3]=>[1,6,4,5,7,3,2]=>[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,7,3,4,5]=>[1,6,4,7,5,3,2]=>[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,7,3,5,4]=>[1,6,5,3,2,4,7]=>[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,7,4,3,5]=>[1,6,3,2,4,7,5]=>[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,7,4,5,3]=>[1,6,5,4,7,3,2]=>[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,7,5,3,4]=>[1,6,3,2,4,7,5]=>[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,1,7,5,4,3]=>[1,6,4,7,3,2,5]=>[2,7,6,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,1,4,5,7]=>[1,6,5,4,2,3,7]=>[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,1,4,7,5]=>[1,6,7,5,4,2,3]=>[2,7,1,6,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,1,5,4,7]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,1,5,7,4]=>[1,6,7,4,2,3,5]=>[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,1,7,4,5]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,1,7,5,4]=>[1,6,5,7,4,2,3]=>[2,7,1,6,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,4,1,5,7]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,4,1,7,5]=>[1,6,7,5,2,3,4]=>[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,4,5,1,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,4,5,7,1]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,4,7,1,5]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,4,7,5,1]=>[1,6,5,7,2,3,4]=>[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,5,1,4,7]=>[1,6,4,5,2,3,7]=>[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,5,1,7,4]=>[1,6,7,4,5,2,3]=>[2,7,1,5,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,5,4,1,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,5,4,7,1]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,5,7,1,4]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,5,7,4,1]=>[1,6,4,5,7,2,3]=>[2,7,1,4,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,7,1,4,5]=>[1,6,4,7,5,2,3]=>[2,7,1,4,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,7,1,5,4]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,7,4,1,5]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,7,4,5,1]=>[1,6,5,4,7,2,3]=>[2,7,1,5,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,7,5,1,4]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,3,7,5,4,1]=>[1,6,4,7,2,3,5]=>[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,1,3,5,7]=>[1,6,5,3,4,2,7]=>[2,7,5,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,1,3,7,5]=>[1,6,7,5,3,4,2]=>[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,1,5,3,7]=>[1,6,3,4,2,5,7]=>[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,1,5,7,3]=>[1,6,7,3,4,2,5]=>[2,7,5,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,1,7,3,5]=>[1,6,3,4,2,5,7]=>[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,1,7,5,3]=>[1,6,5,7,3,4,2]=>[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,3,1,5,7]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,3,1,7,5]=>[1,6,7,5,2,3,4]=>[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,3,5,1,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,3,5,7,1]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,3,7,1,5]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,3,7,5,1]=>[1,6,5,7,2,3,4]=>[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,5,1,3,7]=>[1,6,3,4,5,2,7]=>[2,7,4,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,5,1,7,3]=>[1,6,7,3,4,5,2]=>[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,5,3,1,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,5,3,7,1]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,5,7,1,3]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,5,7,3,1]=>[1,6,3,4,5,7,2]=>[2,1,4,5,6,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,7,1,3,5]=>[1,6,3,4,7,5,2]=>[2,1,4,5,7,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,7,1,5,3]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,7,3,1,5]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,7,3,5,1]=>[1,6,5,3,4,7,2]=>[2,1,5,6,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,7,5,1,3]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,4,7,5,3,1]=>[1,6,3,4,7,2,5]=>[2,7,4,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,1,3,4,7]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,1,3,7,4]=>[1,6,7,4,2,3,5]=>[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,1,4,3,7]=>[1,6,3,5,4,2,7]=>[2,7,4,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,1,4,7,3]=>[1,6,7,3,5,4,2]=>[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,1,7,3,4]=>[1,6,3,5,7,4,2]=>[2,1,4,7,5,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,1,7,4,3]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,3,1,4,7]=>[1,6,4,3,5,2,7]=>[2,7,5,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,3,1,7,4]=>[1,6,7,4,3,5,2]=>[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,3,4,1,7]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,3,4,7,1]=>[1,6,7,2,3,5,4]=>[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,3,7,1,4]=>[1,6,2,3,5,7,4]=>[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,3,7,4,1]=>[1,6,4,3,5,7,2]=>[2,1,5,4,6,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,4,1,3,7]=>[1,6,3,5,2,4,7]=>[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,4,1,7,3]=>[1,6,7,3,5,2,4]=>[2,7,5,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,4,3,1,7]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,4,3,7,1]=>[1,6,7,2,3,5,4]=>[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,4,7,1,3]=>[1,6,2,3,5,7,4]=>[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,4,7,3,1]=>[1,6,3,5,7,2,4]=>[2,7,4,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,7,1,3,4]=>[1,6,3,5,2,4,7]=>[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,7,1,4,3]=>[1,6,4,7,3,5,2]=>[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,7,3,1,4]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,7,3,4,1]=>[1,6,4,7,2,3,5]=>[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,7,4,1,3]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,5,7,4,3,1]=>[1,6,3,5,4,7,2]=>[2,1,4,6,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,1,3,4,5]=>[1,6,4,2,3,7,5]=>[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,1,3,5,4]=>[1,6,5,3,7,4,2]=>[2,1,5,7,4,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,1,4,3,5]=>[1,6,3,7,5,4,2]=>[2,1,4,7,6,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,1,4,5,3]=>[1,6,5,4,2,3,7]=>[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,1,5,3,4]=>[1,6,3,7,4,2,5]=>[2,7,4,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,1,5,4,3]=>[1,6,4,2,3,7,5]=>[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,3,1,4,5]=>[1,6,4,3,7,5,2]=>[2,1,5,4,7,3,6]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,3,1,5,4]=>[1,6,5,2,3,7,4]=>[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,3,4,1,5]=>[1,6,2,3,7,5,4]=>[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,3,4,5,1]=>[1,6,5,4,3,7,2]=>[2,1,6,5,4,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,3,5,1,4]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,3,5,4,1]=>[1,6,4,3,7,2,5]=>[2,7,5,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,4,1,3,5]=>[1,6,3,7,5,2,4]=>[2,7,4,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,4,1,5,3]=>[1,6,5,2,3,7,4]=>[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,4,3,1,5]=>[1,6,2,3,7,5,4]=>[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,4,3,5,1]=>[1,6,5,3,7,2,4]=>[2,7,5,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,4,5,1,3]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,4,5,3,1]=>[1,6,3,7,2,4,5]=>[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,5,1,3,4]=>[1,6,3,7,4,5,2]=>[2,1,4,6,7,3,5]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,5,1,4,3]=>[1,6,4,5,2,3,7]=>[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,5,3,1,4]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,5,3,4,1]=>[1,6,4,5,3,7,2]=>[2,1,6,4,5,3,7]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,5,4,1,3]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,2,7,5,4,3,1]=>[1,6,3,7,2,4,5]=>[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,2,4,5,7]=>[1,6,5,4,2,3,7]=>[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,2,4,7,5]=>[1,6,7,5,4,2,3]=>[2,7,1,6,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,2,5,4,7]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,2,5,7,4]=>[1,6,7,4,2,3,5]=>[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,2,7,4,5]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,2,7,5,4]=>[1,6,5,7,4,2,3]=>[2,7,1,6,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,4,2,5,7]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,4,2,7,5]=>[1,6,7,5,2,3,4]=>[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,4,5,2,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,4,5,7,2]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,4,7,2,5]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,4,7,5,2]=>[1,6,5,7,2,3,4]=>[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,5,2,4,7]=>[1,6,4,5,2,3,7]=>[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,5,2,7,4]=>[1,6,7,4,5,2,3]=>[2,7,1,5,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,5,4,2,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,5,4,7,2]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,5,7,2,4]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,5,7,4,2]=>[1,6,4,5,7,2,3]=>[2,7,1,4,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,7,2,4,5]=>[1,6,4,7,5,2,3]=>[2,7,1,4,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,7,2,5,4]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,7,4,2,5]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,7,4,5,2]=>[1,6,5,4,7,2,3]=>[2,7,1,5,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,7,5,2,4]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,1,7,5,4,2]=>[1,6,4,7,2,3,5]=>[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,1,4,5,7]=>[1,6,5,4,2,3,7]=>[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,1,4,7,5]=>[1,6,7,5,4,2,3]=>[2,7,1,6,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,1,5,4,7]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,1,5,7,4]=>[1,6,7,4,2,3,5]=>[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,1,7,4,5]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,1,7,5,4]=>[1,6,5,7,4,2,3]=>[2,7,1,6,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,4,1,5,7]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,4,1,7,5]=>[1,6,7,5,2,3,4]=>[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,4,5,1,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,4,5,7,1]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,4,7,1,5]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,4,7,5,1]=>[1,6,5,7,2,3,4]=>[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,5,1,4,7]=>[1,6,4,5,2,3,7]=>[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,5,1,7,4]=>[1,6,7,4,5,2,3]=>[2,7,1,5,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,5,4,1,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,5,4,7,1]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,5,7,1,4]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,5,7,4,1]=>[1,6,4,5,7,2,3]=>[2,7,1,4,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,7,1,4,5]=>[1,6,4,7,5,2,3]=>[2,7,1,4,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,7,1,5,4]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,7,4,1,5]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,7,4,5,1]=>[1,6,5,4,7,2,3]=>[2,7,1,5,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,7,5,1,4]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,2,7,5,4,1]=>[1,6,4,7,2,3,5]=>[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,1,2,5,7]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,1,2,7,5]=>[1,6,7,5,2,3,4]=>[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,1,5,2,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,1,5,7,2]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,1,7,2,5]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,1,7,5,2]=>[1,6,5,7,2,3,4]=>[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,2,1,5,7]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,2,1,7,5]=>[1,6,7,5,2,3,4]=>[2,6,7,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,2,5,1,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,2,5,7,1]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,2,7,1,5]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,2,7,5,1]=>[1,6,5,7,2,3,4]=>[2,6,7,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,5,1,2,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,5,1,7,2]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,5,2,1,7]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,5,2,7,1]=>[1,6,7,2,3,4,5]=>[2,5,6,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,5,7,1,2]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,5,7,2,1]=>[1,6,2,3,4,5,7]=>[2,4,5,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,7,1,2,5]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,7,1,5,2]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,7,2,1,5]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,7,2,5,1]=>[1,6,5,2,3,4,7]=>[2,5,6,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,7,5,1,2]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,4,7,5,2,1]=>[1,6,2,3,4,7,5]=>[2,4,5,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,1,2,4,7]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,1,2,7,4]=>[1,6,7,4,2,3,5]=>[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,1,4,2,7]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,1,4,7,2]=>[1,6,7,2,3,5,4]=>[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,1,7,2,4]=>[1,6,2,3,5,7,4]=>[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,1,7,4,2]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,2,1,4,7]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,2,1,7,4]=>[1,6,7,4,2,3,5]=>[2,6,7,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,2,4,1,7]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,2,4,7,1]=>[1,6,7,2,3,5,4]=>[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,2,7,1,4]=>[1,6,2,3,5,7,4]=>[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,2,7,4,1]=>[1,6,4,2,3,5,7]=>[2,5,6,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,4,1,2,7]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,4,1,7,2]=>[1,6,7,2,3,5,4]=>[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,4,2,1,7]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,4,2,7,1]=>[1,6,7,2,3,5,4]=>[2,5,6,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,4,7,1,2]=>[1,6,2,3,5,7,4]=>[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,4,7,2,1]=>[1,6,2,3,5,7,4]=>[2,4,5,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,7,1,2,4]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,7,1,4,2]=>[1,6,4,7,2,3,5]=>[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,7,2,1,4]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,7,2,4,1]=>[1,6,4,7,2,3,5]=>[2,6,7,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,7,4,1,2]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,5,7,4,2,1]=>[1,6,2,3,5,4,7]=>[2,4,5,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,1,2,4,5]=>[1,6,4,2,3,7,5]=>[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,1,2,5,4]=>[1,6,5,2,3,7,4]=>[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,1,4,2,5]=>[1,6,2,3,7,5,4]=>[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,1,4,5,2]=>[1,6,5,4,2,3,7]=>[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,1,5,2,4]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,1,5,4,2]=>[1,6,4,2,3,7,5]=>[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,2,1,4,5]=>[1,6,4,2,3,7,5]=>[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,2,1,5,4]=>[1,6,5,2,3,7,4]=>[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,2,4,1,5]=>[1,6,2,3,7,5,4]=>[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,2,4,5,1]=>[1,6,5,4,2,3,7]=>[2,6,7,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,2,5,1,4]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,2,5,4,1]=>[1,6,4,2,3,7,5]=>[2,5,6,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,4,1,2,5]=>[1,6,2,3,7,5,4]=>[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,4,1,5,2]=>[1,6,5,2,3,7,4]=>[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,4,2,1,5]=>[1,6,2,3,7,5,4]=>[2,4,5,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,4,2,5,1]=>[1,6,5,2,3,7,4]=>[2,5,6,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,4,5,1,2]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,4,5,2,1]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,5,1,2,4]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,5,1,4,2]=>[1,6,4,5,2,3,7]=>[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,5,2,1,4]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,5,2,4,1]=>[1,6,4,5,2,3,7]=>[2,6,7,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,5,4,1,2]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,3,7,5,4,2,1]=>[1,6,2,3,7,4,5]=>[2,4,5,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,2,3,5,7]=>[1,6,5,3,2,4,7]=>[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,2,3,7,5]=>[1,6,7,5,3,2,4]=>[2,7,6,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,2,5,3,7]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,2,5,7,3]=>[1,6,7,3,2,4,5]=>[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,2,7,3,5]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,2,7,5,3]=>[1,6,5,7,3,2,4]=>[2,7,6,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,3,2,5,7]=>[1,6,5,2,4,3,7]=>[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,3,2,7,5]=>[1,6,7,5,2,4,3]=>[2,6,1,7,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,3,5,2,7]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,3,5,7,2]=>[1,6,7,2,4,3,5]=>[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,3,7,2,5]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,3,7,5,2]=>[1,6,5,7,2,4,3]=>[2,6,1,7,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,5,2,3,7]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,5,2,7,3]=>[1,6,7,3,2,4,5]=>[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,5,3,2,7]=>[1,6,2,4,5,3,7]=>[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,5,3,7,2]=>[1,6,7,2,4,5,3]=>[2,5,1,6,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,5,7,2,3]=>[1,6,2,4,5,7,3]=>[2,4,1,5,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,5,7,3,2]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,7,2,3,5]=>[1,6,3,2,4,7,5]=>[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,7,2,5,3]=>[1,6,5,2,4,7,3]=>[2,5,1,6,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,7,3,2,5]=>[1,6,2,4,7,5,3]=>[2,4,1,5,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,7,3,5,2]=>[1,6,5,3,2,4,7]=>[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,7,5,2,3]=>[1,6,2,4,7,3,5]=>[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,1,7,5,3,2]=>[1,6,3,2,4,7,5]=>[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,1,3,5,7]=>[1,6,5,3,2,4,7]=>[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,1,3,7,5]=>[1,6,7,5,3,2,4]=>[2,7,6,1,5,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,1,5,3,7]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,1,5,7,3]=>[1,6,7,3,2,4,5]=>[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,1,7,3,5]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,1,7,5,3]=>[1,6,5,7,3,2,4]=>[2,7,6,1,4,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,3,1,5,7]=>[1,6,5,2,4,3,7]=>[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,3,1,7,5]=>[1,6,7,5,2,4,3]=>[2,6,1,7,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,3,5,1,7]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,3,5,7,1]=>[1,6,7,2,4,3,5]=>[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,3,7,1,5]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,3,7,5,1]=>[1,6,5,7,2,4,3]=>[2,6,1,7,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,5,1,3,7]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,5,1,7,3]=>[1,6,7,3,2,4,5]=>[2,6,5,7,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,5,3,1,7]=>[1,6,2,4,5,3,7]=>[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,5,3,7,1]=>[1,6,7,2,4,5,3]=>[2,5,1,6,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,5,7,1,3]=>[1,6,2,4,5,7,3]=>[2,4,1,5,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,5,7,3,1]=>[1,6,3,2,4,5,7]=>[2,5,4,6,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,7,1,3,5]=>[1,6,3,2,4,7,5]=>[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,7,1,5,3]=>[1,6,5,2,4,7,3]=>[2,5,1,6,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,7,3,1,5]=>[1,6,2,4,7,5,3]=>[2,4,1,5,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,7,3,5,1]=>[1,6,5,3,2,4,7]=>[2,6,5,7,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,7,5,1,3]=>[1,6,2,4,7,3,5]=>[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,2,7,5,3,1]=>[1,6,3,2,4,7,5]=>[2,5,4,6,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,1,2,5,7]=>[1,6,5,2,4,3,7]=>[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,1,2,7,5]=>[1,6,7,5,2,4,3]=>[2,6,1,7,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,1,5,2,7]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,1,5,7,2]=>[1,6,7,2,4,3,5]=>[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,1,7,2,5]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,1,7,5,2]=>[1,6,5,7,2,4,3]=>[2,6,1,7,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,2,1,5,7]=>[1,6,5,2,4,3,7]=>[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,2,1,7,5]=>[1,6,7,5,2,4,3]=>[2,6,1,7,5,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,2,5,1,7]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,2,5,7,1]=>[1,6,7,2,4,3,5]=>[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,2,7,1,5]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,2,7,5,1]=>[1,6,5,7,2,4,3]=>[2,6,1,7,4,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,5,1,2,7]=>[1,6,2,4,5,3,7]=>[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,5,1,7,2]=>[1,6,7,2,4,5,3]=>[2,5,1,6,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,5,2,1,7]=>[1,6,2,4,5,3,7]=>[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,5,2,7,1]=>[1,6,7,2,4,5,3]=>[2,5,1,6,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,5,7,1,2]=>[1,6,2,4,5,7,3]=>[2,4,1,5,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,5,7,2,1]=>[1,6,2,4,5,7,3]=>[2,4,1,5,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,7,1,2,5]=>[1,6,2,4,7,5,3]=>[2,4,1,5,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,7,1,5,2]=>[1,6,5,2,4,7,3]=>[2,5,1,6,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,7,2,1,5]=>[1,6,2,4,7,5,3]=>[2,4,1,5,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,7,2,5,1]=>[1,6,5,2,4,7,3]=>[2,5,1,6,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,7,5,1,2]=>[1,6,2,4,7,3,5]=>[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,3,7,5,2,1]=>[1,6,2,4,7,3,5]=>[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,1,2,3,7]=>[1,6,3,5,2,4,7]=>[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,1,2,7,3]=>[1,6,7,3,5,2,4]=>[2,7,5,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,1,3,2,7]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,1,3,7,2]=>[1,6,7,2,4,3,5]=>[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,1,7,2,3]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,1,7,3,2]=>[1,6,3,5,7,2,4]=>[2,7,4,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,2,1,3,7]=>[1,6,3,5,2,4,7]=>[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,2,1,7,3]=>[1,6,7,3,5,2,4]=>[2,7,5,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,2,3,1,7]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,2,3,7,1]=>[1,6,7,2,4,3,5]=>[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,2,7,1,3]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,2,7,3,1]=>[1,6,3,5,7,2,4]=>[2,7,4,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,3,1,2,7]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,3,1,7,2]=>[1,6,7,2,4,3,5]=>[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,3,2,1,7]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,3,2,7,1]=>[1,6,7,2,4,3,5]=>[2,5,7,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,3,7,1,2]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,3,7,2,1]=>[1,6,2,4,3,5,7]=>[2,4,6,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,7,1,2,3]=>[1,6,2,4,7,3,5]=>[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,7,1,3,2]=>[1,6,3,5,2,4,7]=>[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,7,2,1,3]=>[1,6,2,4,7,3,5]=>[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,7,2,3,1]=>[1,6,3,5,2,4,7]=>[2,6,4,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,7,3,1,2]=>[1,6,2,4,7,3,5]=>[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,5,7,3,2,1]=>[1,6,2,4,7,3,5]=>[2,4,7,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,1,2,3,5]=>[1,6,3,7,5,2,4]=>[2,7,4,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,1,2,5,3]=>[1,6,5,2,4,3,7]=>[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,1,3,2,5]=>[1,6,2,4,3,7,5]=>[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,1,3,5,2]=>[1,6,5,3,7,2,4]=>[2,7,5,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,1,5,2,3]=>[1,6,2,4,3,7,5]=>[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,1,5,3,2]=>[1,6,3,7,2,4,5]=>[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,2,1,3,5]=>[1,6,3,7,5,2,4]=>[2,7,4,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,2,1,5,3]=>[1,6,5,2,4,3,7]=>[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,2,3,1,5]=>[1,6,2,4,3,7,5]=>[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,2,3,5,1]=>[1,6,5,3,7,2,4]=>[2,7,5,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,2,5,1,3]=>[1,6,2,4,3,7,5]=>[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,2,5,3,1]=>[1,6,3,7,2,4,5]=>[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,3,1,2,5]=>[1,6,2,4,3,7,5]=>[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,3,1,5,2]=>[1,6,5,2,4,3,7]=>[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,3,2,1,5]=>[1,6,2,4,3,7,5]=>[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,3,2,5,1]=>[1,6,5,2,4,3,7]=>[2,5,7,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,3,5,1,2]=>[1,6,2,4,3,7,5]=>[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,3,5,2,1]=>[1,6,2,4,3,7,5]=>[2,4,6,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,5,1,2,3]=>[1,6,2,4,5,3,7]=>[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,5,1,3,2]=>[1,6,3,7,2,4,5]=>[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,5,2,1,3]=>[1,6,2,4,5,3,7]=>[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,5,2,3,1]=>[1,6,3,7,2,4,5]=>[2,6,4,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,5,3,1,2]=>[1,6,2,4,5,3,7]=>[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,4,7,5,3,2,1]=>[1,6,2,4,5,3,7]=>[2,4,7,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,2,3,4,7]=>[1,6,4,2,5,3,7]=>[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,2,3,7,4]=>[1,6,7,4,2,5,3]=>[2,6,1,5,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,2,4,3,7]=>[1,6,3,2,5,4,7]=>[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,2,4,7,3]=>[1,6,7,3,2,5,4]=>[2,6,5,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,2,7,3,4]=>[1,6,3,2,5,7,4]=>[2,5,4,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,2,7,4,3]=>[1,6,4,2,5,7,3]=>[2,5,1,4,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,3,2,4,7]=>[1,6,4,3,2,5,7]=>[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,3,2,7,4]=>[1,6,7,4,3,2,5]=>[2,7,6,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,3,4,2,7]=>[1,6,2,5,4,3,7]=>[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,3,4,7,2]=>[1,6,7,2,5,4,3]=>[2,5,1,7,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,3,7,2,4]=>[1,6,2,5,7,4,3]=>[2,4,1,7,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,3,7,4,2]=>[1,6,4,3,2,5,7]=>[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,4,2,3,7]=>[1,6,3,2,5,4,7]=>[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,4,2,7,3]=>[1,6,7,3,2,5,4]=>[2,6,5,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,4,3,2,7]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,4,3,7,2]=>[1,6,7,2,5,3,4]=>[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,4,7,2,3]=>[1,6,2,5,7,3,4]=>[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,4,7,3,2]=>[1,6,3,2,5,7,4]=>[2,5,4,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,7,2,3,4]=>[1,6,3,2,5,4,7]=>[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,7,2,4,3]=>[1,6,4,7,3,2,5]=>[2,7,6,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,7,3,2,4]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,7,3,4,2]=>[1,6,4,7,2,5,3]=>[2,6,1,4,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,7,4,2,3]=>[1,6,2,5,4,7,3]=>[2,4,1,6,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,1,7,4,3,2]=>[1,6,3,2,5,4,7]=>[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,1,3,4,7]=>[1,6,4,2,5,3,7]=>[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,1,3,7,4]=>[1,6,7,4,2,5,3]=>[2,6,1,5,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,1,4,3,7]=>[1,6,3,2,5,4,7]=>[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,1,4,7,3]=>[1,6,7,3,2,5,4]=>[2,6,5,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,1,7,3,4]=>[1,6,3,2,5,7,4]=>[2,5,4,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,1,7,4,3]=>[1,6,4,2,5,7,3]=>[2,5,1,4,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,3,1,4,7]=>[1,6,4,3,2,5,7]=>[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,3,1,7,4]=>[1,6,7,4,3,2,5]=>[2,7,6,5,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,3,4,1,7]=>[1,6,2,5,4,3,7]=>[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,3,4,7,1]=>[1,6,7,2,5,4,3]=>[2,5,1,7,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,3,7,1,4]=>[1,6,2,5,7,4,3]=>[2,4,1,7,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,3,7,4,1]=>[1,6,4,3,2,5,7]=>[2,6,5,4,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,4,1,3,7]=>[1,6,3,2,5,4,7]=>[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,4,1,7,3]=>[1,6,7,3,2,5,4]=>[2,6,5,1,7,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,4,3,1,7]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,4,3,7,1]=>[1,6,7,2,5,3,4]=>[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,4,7,1,3]=>[1,6,2,5,7,3,4]=>[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,4,7,3,1]=>[1,6,3,2,5,7,4]=>[2,5,4,1,6,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,7,1,3,4]=>[1,6,3,2,5,4,7]=>[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,7,1,4,3]=>[1,6,4,7,3,2,5]=>[2,7,6,4,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,7,3,1,4]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,7,3,4,1]=>[1,6,4,7,2,5,3]=>[2,6,1,4,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,7,4,1,3]=>[1,6,2,5,4,7,3]=>[2,4,1,6,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,2,7,4,3,1]=>[1,6,3,2,5,4,7]=>[2,5,4,7,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,1,2,4,7]=>[1,6,4,2,5,3,7]=>[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,1,2,7,4]=>[1,6,7,4,2,5,3]=>[2,6,1,5,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,1,4,2,7]=>[1,6,2,5,4,3,7]=>[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,1,4,7,2]=>[1,6,7,2,5,4,3]=>[2,5,1,7,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,1,7,2,4]=>[1,6,2,5,7,4,3]=>[2,4,1,7,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,1,7,4,2]=>[1,6,4,2,5,7,3]=>[2,5,1,4,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,2,1,4,7]=>[1,6,4,2,5,3,7]=>[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,2,1,7,4]=>[1,6,7,4,2,5,3]=>[2,6,1,5,7,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,2,4,1,7]=>[1,6,2,5,4,3,7]=>[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,2,4,7,1]=>[1,6,7,2,5,4,3]=>[2,5,1,7,6,3,4]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,2,7,1,4]=>[1,6,2,5,7,4,3]=>[2,4,1,7,5,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,2,7,4,1]=>[1,6,4,2,5,7,3]=>[2,5,1,4,6,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,4,1,2,7]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,4,1,7,2]=>[1,6,7,2,5,3,4]=>[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,4,2,1,7]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,4,2,7,1]=>[1,6,7,2,5,3,4]=>[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,4,7,1,2]=>[1,6,2,5,7,3,4]=>[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,4,7,2,1]=>[1,6,2,5,7,3,4]=>[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,7,1,2,4]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,7,1,4,2]=>[1,6,4,7,2,5,3]=>[2,6,1,4,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,7,2,1,4]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,7,2,4,1]=>[1,6,4,7,2,5,3]=>[2,6,1,4,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,7,4,1,2]=>[1,6,2,5,4,7,3]=>[2,4,1,6,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,3,7,4,2,1]=>[1,6,2,5,4,7,3]=>[2,4,1,6,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,1,2,3,7]=>[1,6,3,4,2,5,7]=>[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,1,2,7,3]=>[1,6,7,3,4,2,5]=>[2,7,5,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,1,3,2,7]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,1,3,7,2]=>[1,6,7,2,5,3,4]=>[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,1,7,2,3]=>[1,6,2,5,7,3,4]=>[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,1,7,3,2]=>[1,6,3,4,2,5,7]=>[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,2,1,3,7]=>[1,6,3,4,2,5,7]=>[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,2,1,7,3]=>[1,6,7,3,4,2,5]=>[2,7,5,6,1,3,4]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,2,3,1,7]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,2,3,7,1]=>[1,6,7,2,5,3,4]=>[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,2,7,1,3]=>[1,6,2,5,7,3,4]=>[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,2,7,3,1]=>[1,6,3,4,2,5,7]=>[2,6,4,5,7,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,3,1,2,7]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,3,1,7,2]=>[1,6,7,2,5,3,4]=>[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,3,2,1,7]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,3,2,7,1]=>[1,6,7,2,5,3,4]=>[2,5,7,1,6,3,4]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,3,7,1,2]=>[1,6,2,5,7,3,4]=>[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,3,7,2,1]=>[1,6,2,5,7,3,4]=>[2,4,7,1,5,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,7,1,2,3]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,7,1,3,2]=>[1,6,3,4,7,2,5]=>[2,7,4,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,7,2,1,3]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,7,2,3,1]=>[1,6,3,4,7,2,5]=>[2,7,4,5,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,7,3,1,2]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,4,7,3,2,1]=>[1,6,2,5,3,4,7]=>[2,4,6,7,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,1,2,3,4]=>[1,6,3,7,4,2,5]=>[2,7,4,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,1,2,4,3]=>[1,6,4,2,5,3,7]=>[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,1,3,2,4]=>[1,6,2,5,3,7,4]=>[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,1,3,4,2]=>[1,6,4,2,5,3,7]=>[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,1,4,2,3]=>[1,6,2,5,4,3,7]=>[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,1,4,3,2]=>[1,6,3,7,2,5,4]=>[2,6,4,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,2,1,3,4]=>[1,6,3,7,4,2,5]=>[2,7,4,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,2,1,4,3]=>[1,6,4,2,5,3,7]=>[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,2,3,1,4]=>[1,6,2,5,3,7,4]=>[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,2,3,4,1]=>[1,6,4,2,5,3,7]=>[2,5,7,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,2,4,1,3]=>[1,6,2,5,4,3,7]=>[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,2,4,3,1]=>[1,6,3,7,2,5,4]=>[2,6,4,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,3,1,2,4]=>[1,6,2,5,3,7,4]=>[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,3,1,4,2]=>[1,6,4,3,7,2,5]=>[2,7,5,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,3,2,1,4]=>[1,6,2,5,3,7,4]=>[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,3,2,4,1]=>[1,6,4,3,7,2,5]=>[2,7,5,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,3,4,1,2]=>[1,6,2,5,4,3,7]=>[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,3,4,2,1]=>[1,6,2,5,4,3,7]=>[2,4,7,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,4,1,2,3]=>[1,6,2,5,3,7,4]=>[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,4,1,3,2]=>[1,6,3,7,2,5,4]=>[2,6,4,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,4,2,1,3]=>[1,6,2,5,3,7,4]=>[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,4,2,3,1]=>[1,6,3,7,2,5,4]=>[2,6,4,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,4,3,1,2]=>[1,6,2,5,3,7,4]=>[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,5,7,4,3,2,1]=>[1,6,2,5,3,7,4]=>[2,4,6,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,2,3,4,5]=>[1,6,4,2,7,5,3]=>[2,5,1,4,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,2,3,5,4]=>[1,6,5,3,2,7,4]=>[2,6,5,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,2,4,3,5]=>[1,6,3,2,7,5,4]=>[2,5,4,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,2,4,5,3]=>[1,6,5,4,2,7,3]=>[2,6,1,5,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,2,5,3,4]=>[1,6,3,2,7,4,5]=>[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,2,5,4,3]=>[1,6,4,2,7,3,5]=>[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,3,2,4,5]=>[1,6,4,3,2,7,5]=>[2,6,5,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,3,2,5,4]=>[1,6,5,2,7,4,3]=>[2,5,1,7,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,3,4,2,5]=>[1,6,2,7,5,4,3]=>[2,4,1,7,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,3,4,5,2]=>[1,6,5,4,3,2,7]=>[2,7,6,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,3,5,2,4]=>[1,6,2,7,4,3,5]=>[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,3,5,4,2]=>[1,6,4,3,2,7,5]=>[2,6,5,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,4,2,3,5]=>[1,6,3,2,7,5,4]=>[2,5,4,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,4,2,5,3]=>[1,6,5,2,7,3,4]=>[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,4,3,2,5]=>[1,6,2,7,5,3,4]=>[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,4,3,5,2]=>[1,6,5,3,2,7,4]=>[2,6,5,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,4,5,2,3]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,4,5,3,2]=>[1,6,3,2,7,4,5]=>[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,5,2,3,4]=>[1,6,3,2,7,4,5]=>[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,5,2,4,3]=>[1,6,4,5,2,7,3]=>[2,6,1,4,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,5,3,2,4]=>[1,6,2,7,4,5,3]=>[2,4,1,6,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,5,3,4,2]=>[1,6,4,5,3,2,7]=>[2,7,6,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,5,4,2,3]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,1,5,4,3,2]=>[1,6,3,2,7,4,5]=>[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,1,3,4,5]=>[1,6,4,2,7,5,3]=>[2,5,1,4,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,1,3,5,4]=>[1,6,5,3,2,7,4]=>[2,6,5,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,1,4,3,5]=>[1,6,3,2,7,5,4]=>[2,5,4,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,1,4,5,3]=>[1,6,5,4,2,7,3]=>[2,6,1,5,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,1,5,3,4]=>[1,6,3,2,7,4,5]=>[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,1,5,4,3]=>[1,6,4,2,7,3,5]=>[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,3,1,4,5]=>[1,6,4,3,2,7,5]=>[2,6,5,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,3,1,5,4]=>[1,6,5,2,7,4,3]=>[2,5,1,7,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,3,4,1,5]=>[1,6,2,7,5,4,3]=>[2,4,1,7,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,3,4,5,1]=>[1,6,5,4,3,2,7]=>[2,7,6,5,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,3,5,1,4]=>[1,6,2,7,4,3,5]=>[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,3,5,4,1]=>[1,6,4,3,2,7,5]=>[2,6,5,4,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,4,1,3,5]=>[1,6,3,2,7,5,4]=>[2,5,4,1,7,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,4,1,5,3]=>[1,6,5,2,7,3,4]=>[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,4,3,1,5]=>[1,6,2,7,5,3,4]=>[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,4,3,5,1]=>[1,6,5,3,2,7,4]=>[2,6,5,1,4,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,4,5,1,3]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,4,5,3,1]=>[1,6,3,2,7,4,5]=>[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,5,1,3,4]=>[1,6,3,2,7,4,5]=>[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,5,1,4,3]=>[1,6,4,5,2,7,3]=>[2,6,1,4,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,5,3,1,4]=>[1,6,2,7,4,5,3]=>[2,4,1,6,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,5,3,4,1]=>[1,6,4,5,3,2,7]=>[2,7,6,4,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,5,4,1,3]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,2,5,4,3,1]=>[1,6,3,2,7,4,5]=>[2,5,4,7,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,1,2,4,5]=>[1,6,4,2,7,5,3]=>[2,5,1,4,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,1,2,5,4]=>[1,6,5,2,7,4,3]=>[2,5,1,7,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,1,4,2,5]=>[1,6,2,7,5,4,3]=>[2,4,1,7,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,1,4,5,2]=>[1,6,5,4,2,7,3]=>[2,6,1,5,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,1,5,2,4]=>[1,6,2,7,4,3,5]=>[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,1,5,4,2]=>[1,6,4,2,7,3,5]=>[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,2,1,4,5]=>[1,6,4,2,7,5,3]=>[2,5,1,4,7,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,2,1,5,4]=>[1,6,5,2,7,4,3]=>[2,5,1,7,4,3,6]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,2,4,1,5]=>[1,6,2,7,5,4,3]=>[2,4,1,7,6,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,2,4,5,1]=>[1,6,5,4,2,7,3]=>[2,6,1,5,4,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,2,5,1,4]=>[1,6,2,7,4,3,5]=>[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,2,5,4,1]=>[1,6,4,2,7,3,5]=>[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,4,1,2,5]=>[1,6,2,7,5,3,4]=>[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,4,1,5,2]=>[1,6,5,2,7,3,4]=>[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,4,2,1,5]=>[1,6,2,7,5,3,4]=>[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,4,2,5,1]=>[1,6,5,2,7,3,4]=>[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,4,5,1,2]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,4,5,2,1]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,5,1,2,4]=>[1,6,2,7,4,5,3]=>[2,4,1,6,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,5,1,4,2]=>[1,6,4,5,2,7,3]=>[2,6,1,4,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,5,2,1,4]=>[1,6,2,7,4,5,3]=>[2,4,1,6,7,3,5]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,5,2,4,1]=>[1,6,4,5,2,7,3]=>[2,6,1,4,5,3,7]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,5,4,1,2]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,3,5,4,2,1]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,1,2,3,5]=>[1,6,3,4,2,7,5]=>[2,6,4,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,1,2,5,3]=>[1,6,5,2,7,3,4]=>[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,1,3,2,5]=>[1,6,2,7,5,3,4]=>[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,1,3,5,2]=>[1,6,5,3,4,2,7]=>[2,7,5,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,1,5,2,3]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,1,5,3,2]=>[1,6,3,4,2,7,5]=>[2,6,4,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,2,1,3,5]=>[1,6,3,4,2,7,5]=>[2,6,4,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,2,1,5,3]=>[1,6,5,2,7,3,4]=>[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,2,3,1,5]=>[1,6,2,7,5,3,4]=>[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,2,3,5,1]=>[1,6,5,3,4,2,7]=>[2,7,5,6,4,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,2,5,1,3]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,2,5,3,1]=>[1,6,3,4,2,7,5]=>[2,6,4,5,1,3,7]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,3,1,2,5]=>[1,6,2,7,5,3,4]=>[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,3,1,5,2]=>[1,6,5,2,7,3,4]=>[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,3,2,1,5]=>[1,6,2,7,5,3,4]=>[2,4,7,1,6,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,3,2,5,1]=>[1,6,5,2,7,3,4]=>[2,5,7,1,4,3,6]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,3,5,1,2]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,3,5,2,1]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,5,1,2,3]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,5,1,3,2]=>[1,6,3,4,5,2,7]=>[2,7,4,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,5,2,1,3]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,5,2,3,1]=>[1,6,3,4,5,2,7]=>[2,7,4,5,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,5,3,1,2]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,4,5,3,2,1]=>[1,6,2,7,3,4,5]=>[2,4,6,7,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,1,2,3,4]=>[1,6,3,5,2,7,4]=>[2,6,4,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,1,2,4,3]=>[1,6,4,2,7,3,5]=>[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,1,3,2,4]=>[1,6,2,7,4,3,5]=>[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,1,3,4,2]=>[1,6,4,2,7,3,5]=>[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,1,4,2,3]=>[1,6,2,7,3,5,4]=>[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,1,4,3,2]=>[1,6,3,5,4,2,7]=>[2,7,4,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,2,1,3,4]=>[1,6,3,5,2,7,4]=>[2,6,4,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,2,1,4,3]=>[1,6,4,2,7,3,5]=>[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,2,3,1,4]=>[1,6,2,7,4,3,5]=>[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,2,3,4,1]=>[1,6,4,2,7,3,5]=>[2,5,7,4,1,3,6]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,2,4,1,3]=>[1,6,2,7,3,5,4]=>[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,2,4,3,1]=>[1,6,3,5,4,2,7]=>[2,7,4,6,5,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,3,1,2,4]=>[1,6,2,7,4,3,5]=>[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,3,1,4,2]=>[1,6,4,3,5,2,7]=>[2,7,5,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,3,2,1,4]=>[1,6,2,7,4,3,5]=>[2,4,7,6,1,3,5]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,3,2,4,1]=>[1,6,4,3,5,2,7]=>[2,7,5,4,6,3,1]=>[2,7,6,5,4,3,1]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,3,4,1,2]=>[1,6,2,7,3,5,4]=>[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,3,4,2,1]=>[1,6,2,7,3,5,4]=>[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,4,1,2,3]=>[1,6,2,7,3,5,4]=>[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,4,1,3,2]=>[1,6,3,5,2,7,4]=>[2,6,4,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,4,2,1,3]=>[1,6,2,7,3,5,4]=>[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,4,2,3,1]=>[1,6,3,5,2,7,4]=>[2,6,4,1,5,3,7]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,4,3,1,2]=>[1,6,2,7,3,5,4]=>[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[6,7,5,4,3,2,1]=>[1,6,2,7,3,5,4]=>[2,4,6,1,7,3,5]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,4,6,5]=>[1,7,5,4,3,2,6]=>[2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,5,4,6]=>[1,7,6,4,3,2,5]=>[2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,5,6,4]=>[1,7,4,3,2,5,6]=>[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,6,4,5]=>[1,7,5,6,4,3,2]=>[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,3,6,5,4]=>[1,7,4,3,2,5,6]=>[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,3,5,6]=>[1,7,6,5,3,2,4]=>[2,7,6,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,3,6,5]=>[1,7,5,3,2,4,6]=>[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,5,3,6]=>[1,7,6,3,2,4,5]=>[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,5,6,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,6,3,5]=>[1,7,5,6,3,2,4]=>[2,7,6,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,4,6,5,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,3,4,6]=>[1,7,6,4,5,3,2]=>[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,3,6,4]=>[1,7,4,5,3,2,6]=>[2,7,6,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,4,3,6]=>[1,7,6,3,2,4,5]=>[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,4,6,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,6,3,4]=>[1,7,4,5,6,3,2]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,5,6,4,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,3,4,5]=>[1,7,5,3,2,4,6]=>[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,3,5,4]=>[1,7,4,6,5,3,2]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,4,3,5]=>[1,7,5,4,6,3,2]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,4,5,3]=>[1,7,3,2,4,6,5]=>[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,5,3,4]=>[1,7,4,6,3,2,5]=>[2,7,6,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,2,6,5,4,3]=>[1,7,3,2,4,6,5]=>[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,4,5,6]=>[1,7,6,5,4,2,3]=>[2,7,1,6,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,4,6,5]=>[1,7,5,4,2,3,6]=>[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,5,4,6]=>[1,7,6,4,2,3,5]=>[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,5,6,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,6,4,5]=>[1,7,5,6,4,2,3]=>[2,7,1,6,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,2,6,5,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,2,5,6]=>[1,7,6,5,2,3,4]=>[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,2,6,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,5,2,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,6,2,5]=>[1,7,5,6,2,3,4]=>[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,4,6,5,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,2,4,6]=>[1,7,6,4,5,2,3]=>[2,7,1,5,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,2,6,4]=>[1,7,4,5,2,3,6]=>[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,4,2,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,4,6,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,6,2,4]=>[1,7,4,5,6,2,3]=>[2,7,1,4,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,5,6,4,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,2,4,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,2,5,4]=>[1,7,4,6,5,2,3]=>[2,7,1,4,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,4,2,5]=>[1,7,5,4,6,2,3]=>[2,7,1,5,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,4,5,2]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,5,2,4]=>[1,7,4,6,2,3,5]=>[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,3,6,5,4,2]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,3,5,6]=>[1,7,6,5,3,4,2]=>[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,3,6,5]=>[1,7,5,3,4,2,6]=>[2,7,5,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,5,3,6]=>[1,7,6,3,4,2,5]=>[2,7,5,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,5,6,3]=>[1,7,3,4,2,5,6]=>[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,6,3,5]=>[1,7,5,6,3,4,2]=>[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,2,6,5,3]=>[1,7,3,4,2,5,6]=>[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,2,5,6]=>[1,7,6,5,2,3,4]=>[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,2,6,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,5,2,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,5,6,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,6,2,5]=>[1,7,5,6,2,3,4]=>[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,3,6,5,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,2,3,6]=>[1,7,6,3,4,5,2]=>[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,2,6,3]=>[1,7,3,4,5,2,6]=>[2,7,4,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,3,2,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,3,6,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,6,2,3]=>[1,7,3,4,5,6,2]=>[2,1,4,5,6,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,2,3,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,2,5,3]=>[1,7,3,4,6,5,2]=>[2,1,4,5,7,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,3,2,5]=>[1,7,5,3,4,6,2]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,3,5,2]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,5,2,3]=>[1,7,3,4,6,2,5]=>[2,7,4,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,3,4,6]=>[1,7,6,4,2,3,5]=>[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,3,6,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,4,3,6]=>[1,7,6,3,5,4,2]=>[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,4,6,3]=>[1,7,3,5,4,2,6]=>[2,7,4,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,6,3,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,2,6,4,3]=>[1,7,3,5,6,4,2]=>[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,2,4,6]=>[1,7,6,4,3,5,2]=>[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,2,6,4]=>[1,7,4,3,5,2,6]=>[2,7,5,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,4,2,6]=>[1,7,6,2,3,5,4]=>[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,4,6,2]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,6,2,4]=>[1,7,4,3,5,6,2]=>[2,1,5,4,6,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,3,6,4,2]=>[1,7,2,3,5,6,4]=>[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,2,3,6]=>[1,7,6,3,5,2,4]=>[2,7,5,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,2,6,3]=>[1,7,3,5,2,4,6]=>[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,3,2,6]=>[1,7,6,2,3,5,4]=>[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,3,6,2]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,6,2,3]=>[1,7,3,5,6,2,4]=>[2,7,4,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,4,6,3,2]=>[1,7,2,3,5,6,4]=>[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,2,3,4]=>[1,7,4,6,3,5,2]=>[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,2,4,3]=>[1,7,3,5,2,4,6]=>[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,3,2,4]=>[1,7,4,6,2,3,5]=>[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,3,4,2]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,4,2,3]=>[1,7,3,5,4,6,2]=>[2,1,4,6,5,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,5,6,4,3,2]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,3,4,5]=>[1,7,5,3,6,4,2]=>[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,3,5,4]=>[1,7,4,2,3,6,5]=>[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,4,3,5]=>[1,7,5,4,2,3,6]=>[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,4,5,3]=>[1,7,3,6,5,4,2]=>[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,5,3,4]=>[1,7,4,2,3,6,5]=>[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,2,5,4,3]=>[1,7,3,6,4,2,5]=>[2,7,4,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,2,4,5]=>[1,7,5,2,3,6,4]=>[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,2,5,4]=>[1,7,4,3,6,5,2]=>[2,1,5,4,7,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,4,2,5]=>[1,7,5,4,3,6,2]=>[2,1,6,5,4,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,4,5,2]=>[1,7,2,3,6,5,4]=>[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,5,2,4]=>[1,7,4,3,6,2,5]=>[2,7,5,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,3,5,4,2]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,2,3,5]=>[1,7,5,2,3,6,4]=>[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,2,5,3]=>[1,7,3,6,5,2,4]=>[2,7,4,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,3,2,5]=>[1,7,5,3,6,2,4]=>[2,7,5,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,3,5,2]=>[1,7,2,3,6,5,4]=>[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,5,2,3]=>[1,7,3,6,2,4,5]=>[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,4,5,3,2]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,2,3,4]=>[1,7,4,5,2,3,6]=>[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,2,4,3]=>[1,7,3,6,4,5,2]=>[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,3,2,4]=>[1,7,4,5,3,6,2]=>[2,1,6,4,5,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,3,4,2]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,4,2,3]=>[1,7,3,6,2,4,5]=>[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,1,6,5,4,3,2]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,3,4,5,6]=>[1,7,6,5,4,3,2]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,3,4,6,5]=>[1,7,5,4,3,2,6]=>[2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,3,5,4,6]=>[1,7,6,4,3,2,5]=>[2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,3,5,6,4]=>[1,7,4,3,2,5,6]=>[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,3,6,4,5]=>[1,7,5,6,4,3,2]=>[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,3,6,5,4]=>[1,7,4,3,2,5,6]=>[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,4,3,5,6]=>[1,7,6,5,3,2,4]=>[2,7,6,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,4,3,6,5]=>[1,7,5,3,2,4,6]=>[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,4,5,3,6]=>[1,7,6,3,2,4,5]=>[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,4,5,6,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,4,6,3,5]=>[1,7,5,6,3,2,4]=>[2,7,6,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,4,6,5,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,5,3,4,6]=>[1,7,6,4,5,3,2]=>[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,5,3,6,4]=>[1,7,4,5,3,2,6]=>[2,7,6,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,5,4,3,6]=>[1,7,6,3,2,4,5]=>[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,5,4,6,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,5,6,3,4]=>[1,7,4,5,6,3,2]=>[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,5,6,4,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,6,3,4,5]=>[1,7,5,3,2,4,6]=>[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,6,3,5,4]=>[1,7,4,6,5,3,2]=>[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,6,4,3,5]=>[1,7,5,4,6,3,2]=>[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,6,4,5,3]=>[1,7,3,2,4,6,5]=>[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,6,5,3,4]=>[1,7,4,6,3,2,5]=>[2,7,6,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,1,6,5,4,3]=>[1,7,3,2,4,6,5]=>[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,1,4,5,6]=>[1,7,6,5,4,2,3]=>[2,7,1,6,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,1,4,6,5]=>[1,7,5,4,2,3,6]=>[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,1,5,4,6]=>[1,7,6,4,2,3,5]=>[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,1,5,6,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,1,6,4,5]=>[1,7,5,6,4,2,3]=>[2,7,1,6,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,1,6,5,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,4,1,5,6]=>[1,7,6,5,2,3,4]=>[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,4,1,6,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,4,5,1,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,4,5,6,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,4,6,1,5]=>[1,7,5,6,2,3,4]=>[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,4,6,5,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,5,1,4,6]=>[1,7,6,4,5,2,3]=>[2,7,1,5,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,5,1,6,4]=>[1,7,4,5,2,3,6]=>[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,5,4,1,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,5,4,6,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,5,6,1,4]=>[1,7,4,5,6,2,3]=>[2,7,1,4,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,5,6,4,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,6,1,4,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,6,1,5,4]=>[1,7,4,6,5,2,3]=>[2,7,1,4,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,6,4,1,5]=>[1,7,5,4,6,2,3]=>[2,7,1,5,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,6,4,5,1]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,6,5,1,4]=>[1,7,4,6,2,3,5]=>[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,3,6,5,4,1]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,1,3,5,6]=>[1,7,6,5,3,4,2]=>[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,1,3,6,5]=>[1,7,5,3,4,2,6]=>[2,7,5,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,1,5,3,6]=>[1,7,6,3,4,2,5]=>[2,7,5,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,1,5,6,3]=>[1,7,3,4,2,5,6]=>[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,1,6,3,5]=>[1,7,5,6,3,4,2]=>[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,1,6,5,3]=>[1,7,3,4,2,5,6]=>[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,3,1,5,6]=>[1,7,6,5,2,3,4]=>[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,3,1,6,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,3,5,1,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,3,5,6,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,3,6,1,5]=>[1,7,5,6,2,3,4]=>[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,3,6,5,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,5,1,3,6]=>[1,7,6,3,4,5,2]=>[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,5,1,6,3]=>[1,7,3,4,5,2,6]=>[2,7,4,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,5,3,1,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,5,3,6,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,5,6,1,3]=>[1,7,3,4,5,6,2]=>[2,1,4,5,6,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,5,6,3,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,6,1,3,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,6,1,5,3]=>[1,7,3,4,6,5,2]=>[2,1,4,5,7,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,6,3,1,5]=>[1,7,5,3,4,6,2]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,6,3,5,1]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,6,5,1,3]=>[1,7,3,4,6,2,5]=>[2,7,4,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,4,6,5,3,1]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,1,3,4,6]=>[1,7,6,4,2,3,5]=>[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,1,3,6,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,1,4,3,6]=>[1,7,6,3,5,4,2]=>[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,1,4,6,3]=>[1,7,3,5,4,2,6]=>[2,7,4,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,1,6,3,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,1,6,4,3]=>[1,7,3,5,6,4,2]=>[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,3,1,4,6]=>[1,7,6,4,3,5,2]=>[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,3,1,6,4]=>[1,7,4,3,5,2,6]=>[2,7,5,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,3,4,1,6]=>[1,7,6,2,3,5,4]=>[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,3,4,6,1]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,3,6,1,4]=>[1,7,4,3,5,6,2]=>[2,1,5,4,6,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,3,6,4,1]=>[1,7,2,3,5,6,4]=>[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,4,1,3,6]=>[1,7,6,3,5,2,4]=>[2,7,5,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,4,1,6,3]=>[1,7,3,5,2,4,6]=>[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,4,3,1,6]=>[1,7,6,2,3,5,4]=>[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,4,3,6,1]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,4,6,1,3]=>[1,7,3,5,6,2,4]=>[2,7,4,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,4,6,3,1]=>[1,7,2,3,5,6,4]=>[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,6,1,3,4]=>[1,7,4,6,3,5,2]=>[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,6,1,4,3]=>[1,7,3,5,2,4,6]=>[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,6,3,1,4]=>[1,7,4,6,2,3,5]=>[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,6,3,4,1]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,6,4,1,3]=>[1,7,3,5,4,6,2]=>[2,1,4,6,5,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,5,6,4,3,1]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,1,3,4,5]=>[1,7,5,3,6,4,2]=>[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,1,3,5,4]=>[1,7,4,2,3,6,5]=>[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,1,4,3,5]=>[1,7,5,4,2,3,6]=>[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,1,4,5,3]=>[1,7,3,6,5,4,2]=>[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,1,5,3,4]=>[1,7,4,2,3,6,5]=>[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,1,5,4,3]=>[1,7,3,6,4,2,5]=>[2,7,4,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,3,1,4,5]=>[1,7,5,2,3,6,4]=>[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,3,1,5,4]=>[1,7,4,3,6,5,2]=>[2,1,5,4,7,6,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,3,4,1,5]=>[1,7,5,4,3,6,2]=>[2,1,6,5,4,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,3,4,5,1]=>[1,7,2,3,6,5,4]=>[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,3,5,1,4]=>[1,7,4,3,6,2,5]=>[2,7,5,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,3,5,4,1]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,4,1,3,5]=>[1,7,5,2,3,6,4]=>[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,4,1,5,3]=>[1,7,3,6,5,2,4]=>[2,7,4,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,4,3,1,5]=>[1,7,5,3,6,2,4]=>[2,7,5,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,4,3,5,1]=>[1,7,2,3,6,5,4]=>[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,4,5,1,3]=>[1,7,3,6,2,4,5]=>[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,4,5,3,1]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,5,1,3,4]=>[1,7,4,5,2,3,6]=>[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,5,1,4,3]=>[1,7,3,6,4,5,2]=>[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,5,3,1,4]=>[1,7,4,5,3,6,2]=>[2,1,6,4,5,7,3]=>[2,1,7,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,5,3,4,1]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,5,4,1,3]=>[1,7,3,6,2,4,5]=>[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,2,6,5,4,3,1]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,2,4,5,6]=>[1,7,6,5,4,2,3]=>[2,7,1,6,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,2,4,6,5]=>[1,7,5,4,2,3,6]=>[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,2,5,4,6]=>[1,7,6,4,2,3,5]=>[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,2,5,6,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,2,6,4,5]=>[1,7,5,6,4,2,3]=>[2,7,1,6,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,2,6,5,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,4,2,5,6]=>[1,7,6,5,2,3,4]=>[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,4,2,6,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,4,5,2,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,4,5,6,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,4,6,2,5]=>[1,7,5,6,2,3,4]=>[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,4,6,5,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,5,2,4,6]=>[1,7,6,4,5,2,3]=>[2,7,1,5,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,5,2,6,4]=>[1,7,4,5,2,3,6]=>[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,5,4,2,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,5,4,6,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,5,6,2,4]=>[1,7,4,5,6,2,3]=>[2,7,1,4,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,5,6,4,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,6,2,4,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,6,2,5,4]=>[1,7,4,6,5,2,3]=>[2,7,1,4,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,6,4,2,5]=>[1,7,5,4,6,2,3]=>[2,7,1,5,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,6,4,5,2]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,6,5,2,4]=>[1,7,4,6,2,3,5]=>[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,1,6,5,4,2]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,1,4,5,6]=>[1,7,6,5,4,2,3]=>[2,7,1,6,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,1,4,6,5]=>[1,7,5,4,2,3,6]=>[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,1,5,4,6]=>[1,7,6,4,2,3,5]=>[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,1,5,6,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,1,6,4,5]=>[1,7,5,6,4,2,3]=>[2,7,1,6,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,1,6,5,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,4,1,5,6]=>[1,7,6,5,2,3,4]=>[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,4,1,6,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,4,5,1,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,4,5,6,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,4,6,1,5]=>[1,7,5,6,2,3,4]=>[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,4,6,5,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,5,1,4,6]=>[1,7,6,4,5,2,3]=>[2,7,1,5,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,5,1,6,4]=>[1,7,4,5,2,3,6]=>[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,5,4,1,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,5,4,6,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,5,6,1,4]=>[1,7,4,5,6,2,3]=>[2,7,1,4,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,5,6,4,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,6,1,4,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,6,1,5,4]=>[1,7,4,6,5,2,3]=>[2,7,1,4,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,6,4,1,5]=>[1,7,5,4,6,2,3]=>[2,7,1,5,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,6,4,5,1]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,6,5,1,4]=>[1,7,4,6,2,3,5]=>[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,2,6,5,4,1]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,1,2,5,6]=>[1,7,6,5,2,3,4]=>[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,1,2,6,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,1,5,2,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,1,5,6,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,1,6,2,5]=>[1,7,5,6,2,3,4]=>[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,1,6,5,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,2,1,5,6]=>[1,7,6,5,2,3,4]=>[2,6,7,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,2,1,6,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,2,5,1,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,2,5,6,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,2,6,1,5]=>[1,7,5,6,2,3,4]=>[2,6,7,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,2,6,5,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,5,1,2,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,5,1,6,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,5,2,1,6]=>[1,7,6,2,3,4,5]=>[2,5,6,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,5,2,6,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,5,6,1,2]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,5,6,2,1]=>[1,7,2,3,4,5,6]=>[2,4,5,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,6,1,2,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,6,1,5,2]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,6,2,1,5]=>[1,7,5,2,3,4,6]=>[2,5,6,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,6,2,5,1]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,6,5,1,2]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,4,6,5,2,1]=>[1,7,2,3,4,6,5]=>[2,4,5,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,1,2,4,6]=>[1,7,6,4,2,3,5]=>[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,1,2,6,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,1,4,2,6]=>[1,7,6,2,3,5,4]=>[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,1,4,6,2]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,1,6,2,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,1,6,4,2]=>[1,7,2,3,5,6,4]=>[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,2,1,4,6]=>[1,7,6,4,2,3,5]=>[2,6,7,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,2,1,6,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,2,4,1,6]=>[1,7,6,2,3,5,4]=>[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,2,4,6,1]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,2,6,1,4]=>[1,7,4,2,3,5,6]=>[2,5,6,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,2,6,4,1]=>[1,7,2,3,5,6,4]=>[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,4,1,2,6]=>[1,7,6,2,3,5,4]=>[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,4,1,6,2]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,4,2,1,6]=>[1,7,6,2,3,5,4]=>[2,5,6,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,4,2,6,1]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,4,6,1,2]=>[1,7,2,3,5,6,4]=>[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,4,6,2,1]=>[1,7,2,3,5,6,4]=>[2,4,5,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,6,1,2,4]=>[1,7,4,6,2,3,5]=>[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,6,1,4,2]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,6,2,1,4]=>[1,7,4,6,2,3,5]=>[2,6,7,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,6,2,4,1]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,6,4,1,2]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,5,6,4,2,1]=>[1,7,2,3,5,4,6]=>[2,4,5,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,1,2,4,5]=>[1,7,5,2,3,6,4]=>[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,1,2,5,4]=>[1,7,4,2,3,6,5]=>[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,1,4,2,5]=>[1,7,5,4,2,3,6]=>[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,1,4,5,2]=>[1,7,2,3,6,5,4]=>[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,1,5,2,4]=>[1,7,4,2,3,6,5]=>[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,1,5,4,2]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,2,1,4,5]=>[1,7,5,2,3,6,4]=>[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,2,1,5,4]=>[1,7,4,2,3,6,5]=>[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,2,4,1,5]=>[1,7,5,4,2,3,6]=>[2,6,7,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,2,4,5,1]=>[1,7,2,3,6,5,4]=>[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,2,5,1,4]=>[1,7,4,2,3,6,5]=>[2,5,6,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,2,5,4,1]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,4,1,2,5]=>[1,7,5,2,3,6,4]=>[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,4,1,5,2]=>[1,7,2,3,6,5,4]=>[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,4,2,1,5]=>[1,7,5,2,3,6,4]=>[2,5,6,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,4,2,5,1]=>[1,7,2,3,6,5,4]=>[2,4,5,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,4,5,1,2]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,4,5,2,1]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,5,1,2,4]=>[1,7,4,5,2,3,6]=>[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,5,1,4,2]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,5,2,1,4]=>[1,7,4,5,2,3,6]=>[2,6,7,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,5,2,4,1]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,5,4,1,2]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,3,6,5,4,2,1]=>[1,7,2,3,6,4,5]=>[2,4,5,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,2,3,5,6]=>[1,7,6,5,3,2,4]=>[2,7,6,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,2,3,6,5]=>[1,7,5,3,2,4,6]=>[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,2,5,3,6]=>[1,7,6,3,2,4,5]=>[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,2,5,6,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,2,6,3,5]=>[1,7,5,6,3,2,4]=>[2,7,6,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,2,6,5,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,3,2,5,6]=>[1,7,6,5,2,4,3]=>[2,6,1,7,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,3,2,6,5]=>[1,7,5,2,4,3,6]=>[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,3,5,2,6]=>[1,7,6,2,4,3,5]=>[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,3,5,6,2]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,3,6,2,5]=>[1,7,5,6,2,4,3]=>[2,6,1,7,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,3,6,5,2]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,5,2,3,6]=>[1,7,6,3,2,4,5]=>[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,5,2,6,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,5,3,2,6]=>[1,7,6,2,4,5,3]=>[2,5,1,6,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,5,3,6,2]=>[1,7,2,4,5,3,6]=>[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,5,6,2,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,5,6,3,2]=>[1,7,2,4,5,6,3]=>[2,4,1,5,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,6,2,3,5]=>[1,7,5,2,4,6,3]=>[2,5,1,6,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,6,2,5,3]=>[1,7,3,2,4,6,5]=>[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,6,3,2,5]=>[1,7,5,3,2,4,6]=>[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,6,3,5,2]=>[1,7,2,4,6,5,3]=>[2,4,1,5,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,6,5,2,3]=>[1,7,3,2,4,6,5]=>[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,1,6,5,3,2]=>[1,7,2,4,6,3,5]=>[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,1,3,5,6]=>[1,7,6,5,3,2,4]=>[2,7,6,1,5,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,1,3,6,5]=>[1,7,5,3,2,4,6]=>[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,1,5,3,6]=>[1,7,6,3,2,4,5]=>[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,1,5,6,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,1,6,3,5]=>[1,7,5,6,3,2,4]=>[2,7,6,1,4,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,1,6,5,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,3,1,5,6]=>[1,7,6,5,2,4,3]=>[2,6,1,7,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,3,1,6,5]=>[1,7,5,2,4,3,6]=>[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,3,5,1,6]=>[1,7,6,2,4,3,5]=>[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,3,5,6,1]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,3,6,1,5]=>[1,7,5,6,2,4,3]=>[2,6,1,7,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,3,6,5,1]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,5,1,3,6]=>[1,7,6,3,2,4,5]=>[2,6,5,7,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,5,1,6,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,5,3,1,6]=>[1,7,6,2,4,5,3]=>[2,5,1,6,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,5,3,6,1]=>[1,7,2,4,5,3,6]=>[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,5,6,1,3]=>[1,7,3,2,4,5,6]=>[2,5,4,6,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,5,6,3,1]=>[1,7,2,4,5,6,3]=>[2,4,1,5,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,6,1,3,5]=>[1,7,5,2,4,6,3]=>[2,5,1,6,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,6,1,5,3]=>[1,7,3,2,4,6,5]=>[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,6,3,1,5]=>[1,7,5,3,2,4,6]=>[2,6,5,7,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,6,3,5,1]=>[1,7,2,4,6,5,3]=>[2,4,1,5,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,6,5,1,3]=>[1,7,3,2,4,6,5]=>[2,5,4,6,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,2,6,5,3,1]=>[1,7,2,4,6,3,5]=>[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,1,2,5,6]=>[1,7,6,5,2,4,3]=>[2,6,1,7,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,1,2,6,5]=>[1,7,5,2,4,3,6]=>[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,1,5,2,6]=>[1,7,6,2,4,3,5]=>[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,1,5,6,2]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,1,6,2,5]=>[1,7,5,6,2,4,3]=>[2,6,1,7,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,1,6,5,2]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,2,1,5,6]=>[1,7,6,5,2,4,3]=>[2,6,1,7,5,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,2,1,6,5]=>[1,7,5,2,4,3,6]=>[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,2,5,1,6]=>[1,7,6,2,4,3,5]=>[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,2,5,6,1]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,2,6,1,5]=>[1,7,5,6,2,4,3]=>[2,6,1,7,4,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,2,6,5,1]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,5,1,2,6]=>[1,7,6,2,4,5,3]=>[2,5,1,6,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,5,1,6,2]=>[1,7,2,4,5,3,6]=>[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,5,2,1,6]=>[1,7,6,2,4,5,3]=>[2,5,1,6,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,5,2,6,1]=>[1,7,2,4,5,3,6]=>[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,5,6,1,2]=>[1,7,2,4,5,6,3]=>[2,4,1,5,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,5,6,2,1]=>[1,7,2,4,5,6,3]=>[2,4,1,5,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,6,1,2,5]=>[1,7,5,2,4,6,3]=>[2,5,1,6,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,6,1,5,2]=>[1,7,2,4,6,5,3]=>[2,4,1,5,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,6,2,1,5]=>[1,7,5,2,4,6,3]=>[2,5,1,6,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,6,2,5,1]=>[1,7,2,4,6,5,3]=>[2,4,1,5,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,6,5,1,2]=>[1,7,2,4,6,3,5]=>[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,3,6,5,2,1]=>[1,7,2,4,6,3,5]=>[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,1,2,3,6]=>[1,7,6,3,5,2,4]=>[2,7,5,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,1,2,6,3]=>[1,7,3,5,2,4,6]=>[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,1,3,2,6]=>[1,7,6,2,4,3,5]=>[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,1,3,6,2]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,1,6,2,3]=>[1,7,3,5,6,2,4]=>[2,7,4,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,1,6,3,2]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,2,1,3,6]=>[1,7,6,3,5,2,4]=>[2,7,5,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,2,1,6,3]=>[1,7,3,5,2,4,6]=>[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,2,3,1,6]=>[1,7,6,2,4,3,5]=>[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,2,3,6,1]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,2,6,1,3]=>[1,7,3,5,6,2,4]=>[2,7,4,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,2,6,3,1]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,3,1,2,6]=>[1,7,6,2,4,3,5]=>[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,3,1,6,2]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,3,2,1,6]=>[1,7,6,2,4,3,5]=>[2,5,7,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,3,2,6,1]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,3,6,1,2]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,3,6,2,1]=>[1,7,2,4,3,5,6]=>[2,4,6,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,6,1,2,3]=>[1,7,3,5,2,4,6]=>[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,6,1,3,2]=>[1,7,2,4,6,3,5]=>[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,6,2,1,3]=>[1,7,3,5,2,4,6]=>[2,6,4,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,6,2,3,1]=>[1,7,2,4,6,3,5]=>[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,6,3,1,2]=>[1,7,2,4,6,3,5]=>[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,5,6,3,2,1]=>[1,7,2,4,6,3,5]=>[2,4,7,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,1,2,3,5]=>[1,7,5,2,4,3,6]=>[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,1,2,5,3]=>[1,7,3,6,5,2,4]=>[2,7,4,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,1,3,2,5]=>[1,7,5,3,6,2,4]=>[2,7,5,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,1,3,5,2]=>[1,7,2,4,3,6,5]=>[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,1,5,2,3]=>[1,7,3,6,2,4,5]=>[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,1,5,3,2]=>[1,7,2,4,3,6,5]=>[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,2,1,3,5]=>[1,7,5,2,4,3,6]=>[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,2,1,5,3]=>[1,7,3,6,5,2,4]=>[2,7,4,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,2,3,1,5]=>[1,7,5,3,6,2,4]=>[2,7,5,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,2,3,5,1]=>[1,7,2,4,3,6,5]=>[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,2,5,1,3]=>[1,7,3,6,2,4,5]=>[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,2,5,3,1]=>[1,7,2,4,3,6,5]=>[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,3,1,2,5]=>[1,7,5,2,4,3,6]=>[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,3,1,5,2]=>[1,7,2,4,3,6,5]=>[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,3,2,1,5]=>[1,7,5,2,4,3,6]=>[2,5,7,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,3,2,5,1]=>[1,7,2,4,3,6,5]=>[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,3,5,1,2]=>[1,7,2,4,3,6,5]=>[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,3,5,2,1]=>[1,7,2,4,3,6,5]=>[2,4,6,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,5,1,2,3]=>[1,7,3,6,2,4,5]=>[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,5,1,3,2]=>[1,7,2,4,5,3,6]=>[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,5,2,1,3]=>[1,7,3,6,2,4,5]=>[2,6,4,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,5,2,3,1]=>[1,7,2,4,5,3,6]=>[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,5,3,1,2]=>[1,7,2,4,5,3,6]=>[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,4,6,5,3,2,1]=>[1,7,2,4,5,3,6]=>[2,4,7,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,2,3,4,6]=>[1,7,6,4,2,5,3]=>[2,6,1,5,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,2,3,6,4]=>[1,7,4,2,5,3,6]=>[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,2,4,3,6]=>[1,7,6,3,2,5,4]=>[2,6,5,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,2,4,6,3]=>[1,7,3,2,5,4,6]=>[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,2,6,3,4]=>[1,7,4,2,5,6,3]=>[2,5,1,4,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,2,6,4,3]=>[1,7,3,2,5,6,4]=>[2,5,4,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,3,2,4,6]=>[1,7,6,4,3,2,5]=>[2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,3,2,6,4]=>[1,7,4,3,2,5,6]=>[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,3,4,2,6]=>[1,7,6,2,5,4,3]=>[2,5,1,7,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,3,4,6,2]=>[1,7,2,5,4,3,6]=>[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,3,6,2,4]=>[1,7,4,3,2,5,6]=>[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,3,6,4,2]=>[1,7,2,5,6,4,3]=>[2,4,1,7,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,4,2,3,6]=>[1,7,6,3,2,5,4]=>[2,6,5,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,4,2,6,3]=>[1,7,3,2,5,4,6]=>[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,4,3,2,6]=>[1,7,6,2,5,3,4]=>[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,4,3,6,2]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,4,6,2,3]=>[1,7,3,2,5,6,4]=>[2,5,4,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,4,6,3,2]=>[1,7,2,5,6,3,4]=>[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,6,2,3,4]=>[1,7,4,6,3,2,5]=>[2,7,6,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,6,2,4,3]=>[1,7,3,2,5,4,6]=>[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,6,3,2,4]=>[1,7,4,6,2,5,3]=>[2,6,1,4,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,6,3,4,2]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,6,4,2,3]=>[1,7,3,2,5,4,6]=>[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,1,6,4,3,2]=>[1,7,2,5,4,6,3]=>[2,4,1,6,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,1,3,4,6]=>[1,7,6,4,2,5,3]=>[2,6,1,5,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,1,3,6,4]=>[1,7,4,2,5,3,6]=>[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,1,4,3,6]=>[1,7,6,3,2,5,4]=>[2,6,5,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,1,4,6,3]=>[1,7,3,2,5,4,6]=>[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,1,6,3,4]=>[1,7,4,2,5,6,3]=>[2,5,1,4,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,1,6,4,3]=>[1,7,3,2,5,6,4]=>[2,5,4,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,3,1,4,6]=>[1,7,6,4,3,2,5]=>[2,7,6,5,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,3,1,6,4]=>[1,7,4,3,2,5,6]=>[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,3,4,1,6]=>[1,7,6,2,5,4,3]=>[2,5,1,7,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,3,4,6,1]=>[1,7,2,5,4,3,6]=>[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,3,6,1,4]=>[1,7,4,3,2,5,6]=>[2,6,5,4,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,3,6,4,1]=>[1,7,2,5,6,4,3]=>[2,4,1,7,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,4,1,3,6]=>[1,7,6,3,2,5,4]=>[2,6,5,1,7,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,4,1,6,3]=>[1,7,3,2,5,4,6]=>[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,4,3,1,6]=>[1,7,6,2,5,3,4]=>[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,4,3,6,1]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,4,6,1,3]=>[1,7,3,2,5,6,4]=>[2,5,4,1,6,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,4,6,3,1]=>[1,7,2,5,6,3,4]=>[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,6,1,3,4]=>[1,7,4,6,3,2,5]=>[2,7,6,4,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,6,1,4,3]=>[1,7,3,2,5,4,6]=>[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,6,3,1,4]=>[1,7,4,6,2,5,3]=>[2,6,1,4,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,6,3,4,1]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,6,4,1,3]=>[1,7,3,2,5,4,6]=>[2,5,4,7,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,2,6,4,3,1]=>[1,7,2,5,4,6,3]=>[2,4,1,6,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,1,2,4,6]=>[1,7,6,4,2,5,3]=>[2,6,1,5,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,1,2,6,4]=>[1,7,4,2,5,3,6]=>[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,1,4,2,6]=>[1,7,6,2,5,4,3]=>[2,5,1,7,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,1,4,6,2]=>[1,7,2,5,4,3,6]=>[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,1,6,2,4]=>[1,7,4,2,5,6,3]=>[2,5,1,4,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,1,6,4,2]=>[1,7,2,5,6,4,3]=>[2,4,1,7,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,2,1,4,6]=>[1,7,6,4,2,5,3]=>[2,6,1,5,7,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,2,1,6,4]=>[1,7,4,2,5,3,6]=>[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,2,4,1,6]=>[1,7,6,2,5,4,3]=>[2,5,1,7,6,4,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,2,4,6,1]=>[1,7,2,5,4,3,6]=>[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,2,6,1,4]=>[1,7,4,2,5,6,3]=>[2,5,1,4,6,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,2,6,4,1]=>[1,7,2,5,6,4,3]=>[2,4,1,7,5,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,4,1,2,6]=>[1,7,6,2,5,3,4]=>[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,4,1,6,2]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,4,2,1,6]=>[1,7,6,2,5,3,4]=>[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,4,2,6,1]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,4,6,1,2]=>[1,7,2,5,6,3,4]=>[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,4,6,2,1]=>[1,7,2,5,6,3,4]=>[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,6,1,2,4]=>[1,7,4,6,2,5,3]=>[2,6,1,4,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,6,1,4,2]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,6,2,1,4]=>[1,7,4,6,2,5,3]=>[2,6,1,4,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,6,2,4,1]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,6,4,1,2]=>[1,7,2,5,4,6,3]=>[2,4,1,6,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,3,6,4,2,1]=>[1,7,2,5,4,6,3]=>[2,4,1,6,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,1,2,3,6]=>[1,7,6,3,4,2,5]=>[2,7,5,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,1,2,6,3]=>[1,7,3,4,2,5,6]=>[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,1,3,2,6]=>[1,7,6,2,5,3,4]=>[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,1,3,6,2]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,1,6,2,3]=>[1,7,3,4,2,5,6]=>[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,1,6,3,2]=>[1,7,2,5,6,3,4]=>[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,2,1,3,6]=>[1,7,6,3,4,2,5]=>[2,7,5,6,1,4,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,2,1,6,3]=>[1,7,3,4,2,5,6]=>[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,2,3,1,6]=>[1,7,6,2,5,3,4]=>[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,2,3,6,1]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,2,6,1,3]=>[1,7,3,4,2,5,6]=>[2,6,4,5,7,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,2,6,3,1]=>[1,7,2,5,6,3,4]=>[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,3,1,2,6]=>[1,7,6,2,5,3,4]=>[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,3,1,6,2]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,3,2,1,6]=>[1,7,6,2,5,3,4]=>[2,5,7,1,6,4,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,3,2,6,1]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,3,6,1,2]=>[1,7,2,5,6,3,4]=>[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,3,6,2,1]=>[1,7,2,5,6,3,4]=>[2,4,7,1,5,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,6,1,2,3]=>[1,7,3,4,6,2,5]=>[2,7,4,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,6,1,3,2]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,6,2,1,3]=>[1,7,3,4,6,2,5]=>[2,7,4,5,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,6,2,3,1]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,6,3,1,2]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,4,6,3,2,1]=>[1,7,2,5,3,4,6]=>[2,4,6,7,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,1,2,3,4]=>[1,7,4,2,5,3,6]=>[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,1,2,4,3]=>[1,7,3,6,4,2,5]=>[2,7,4,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,1,3,2,4]=>[1,7,4,2,5,3,6]=>[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,1,3,4,2]=>[1,7,2,5,3,6,4]=>[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,1,4,2,3]=>[1,7,3,6,2,5,4]=>[2,6,4,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,1,4,3,2]=>[1,7,2,5,4,3,6]=>[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,2,1,3,4]=>[1,7,4,2,5,3,6]=>[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,2,1,4,3]=>[1,7,3,6,4,2,5]=>[2,7,4,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,2,3,1,4]=>[1,7,4,2,5,3,6]=>[2,5,7,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,2,3,4,1]=>[1,7,2,5,3,6,4]=>[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,2,4,1,3]=>[1,7,3,6,2,5,4]=>[2,6,4,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,2,4,3,1]=>[1,7,2,5,4,3,6]=>[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,3,1,2,4]=>[1,7,4,3,6,2,5]=>[2,7,5,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,3,1,4,2]=>[1,7,2,5,3,6,4]=>[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,3,2,1,4]=>[1,7,4,3,6,2,5]=>[2,7,5,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,3,2,4,1]=>[1,7,2,5,3,6,4]=>[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,3,4,1,2]=>[1,7,2,5,4,3,6]=>[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,3,4,2,1]=>[1,7,2,5,4,3,6]=>[2,4,7,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,4,1,2,3]=>[1,7,3,6,2,5,4]=>[2,6,4,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,4,1,3,2]=>[1,7,2,5,3,6,4]=>[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,4,2,1,3]=>[1,7,3,6,2,5,4]=>[2,6,4,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,4,2,3,1]=>[1,7,2,5,3,6,4]=>[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,4,3,1,2]=>[1,7,2,5,3,6,4]=>[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,5,6,4,3,2,1]=>[1,7,2,5,3,6,4]=>[2,4,6,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,2,3,4,5]=>[1,7,5,3,2,6,4]=>[2,6,5,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,2,3,5,4]=>[1,7,4,2,6,5,3]=>[2,5,1,4,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,2,4,3,5]=>[1,7,5,4,2,6,3]=>[2,6,1,5,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,2,4,5,3]=>[1,7,3,2,6,5,4]=>[2,5,4,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,2,5,3,4]=>[1,7,4,2,6,3,5]=>[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,2,5,4,3]=>[1,7,3,2,6,4,5]=>[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,3,2,4,5]=>[1,7,5,2,6,4,3]=>[2,5,1,7,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,3,2,5,4]=>[1,7,4,3,2,6,5]=>[2,6,5,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,3,4,2,5]=>[1,7,5,4,3,2,6]=>[2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,3,4,5,2]=>[1,7,2,6,5,4,3]=>[2,4,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,3,5,2,4]=>[1,7,4,3,2,6,5]=>[2,6,5,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,3,5,4,2]=>[1,7,2,6,4,3,5]=>[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,4,2,3,5]=>[1,7,5,2,6,3,4]=>[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,4,2,5,3]=>[1,7,3,2,6,5,4]=>[2,5,4,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,4,3,2,5]=>[1,7,5,3,2,6,4]=>[2,6,5,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,4,3,5,2]=>[1,7,2,6,5,3,4]=>[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,4,5,2,3]=>[1,7,3,2,6,4,5]=>[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,4,5,3,2]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,5,2,3,4]=>[1,7,4,5,2,6,3]=>[2,6,1,4,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,5,2,4,3]=>[1,7,3,2,6,4,5]=>[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,5,3,2,4]=>[1,7,4,5,3,2,6]=>[2,7,6,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,5,3,4,2]=>[1,7,2,6,4,5,3]=>[2,4,1,6,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,5,4,2,3]=>[1,7,3,2,6,4,5]=>[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,1,5,4,3,2]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,1,3,4,5]=>[1,7,5,3,2,6,4]=>[2,6,5,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,1,3,5,4]=>[1,7,4,2,6,5,3]=>[2,5,1,4,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,1,4,3,5]=>[1,7,5,4,2,6,3]=>[2,6,1,5,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,1,4,5,3]=>[1,7,3,2,6,5,4]=>[2,5,4,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,1,5,3,4]=>[1,7,4,2,6,3,5]=>[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,1,5,4,3]=>[1,7,3,2,6,4,5]=>[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,3,1,4,5]=>[1,7,5,2,6,4,3]=>[2,5,1,7,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,3,1,5,4]=>[1,7,4,3,2,6,5]=>[2,6,5,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,3,4,1,5]=>[1,7,5,4,3,2,6]=>[2,7,6,5,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,3,4,5,1]=>[1,7,2,6,5,4,3]=>[2,4,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,3,5,1,4]=>[1,7,4,3,2,6,5]=>[2,6,5,4,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,3,5,4,1]=>[1,7,2,6,4,3,5]=>[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,4,1,3,5]=>[1,7,5,2,6,3,4]=>[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,4,1,5,3]=>[1,7,3,2,6,5,4]=>[2,5,4,1,7,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,4,3,1,5]=>[1,7,5,3,2,6,4]=>[2,6,5,1,4,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,4,3,5,1]=>[1,7,2,6,5,3,4]=>[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,4,5,1,3]=>[1,7,3,2,6,4,5]=>[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,4,5,3,1]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,5,1,3,4]=>[1,7,4,5,2,6,3]=>[2,6,1,4,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,5,1,4,3]=>[1,7,3,2,6,4,5]=>[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,5,3,1,4]=>[1,7,4,5,3,2,6]=>[2,7,6,4,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,5,3,4,1]=>[1,7,2,6,4,5,3]=>[2,4,1,6,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,5,4,1,3]=>[1,7,3,2,6,4,5]=>[2,5,4,7,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,2,5,4,3,1]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,1,2,4,5]=>[1,7,5,2,6,4,3]=>[2,5,1,7,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,1,2,5,4]=>[1,7,4,2,6,5,3]=>[2,5,1,4,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,1,4,2,5]=>[1,7,5,4,2,6,3]=>[2,6,1,5,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,1,4,5,2]=>[1,7,2,6,5,4,3]=>[2,4,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,1,5,2,4]=>[1,7,4,2,6,3,5]=>[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,1,5,4,2]=>[1,7,2,6,4,3,5]=>[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,2,1,4,5]=>[1,7,5,2,6,4,3]=>[2,5,1,7,4,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,2,1,5,4]=>[1,7,4,2,6,5,3]=>[2,5,1,4,7,6,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,2,4,1,5]=>[1,7,5,4,2,6,3]=>[2,6,1,5,4,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,2,4,5,1]=>[1,7,2,6,5,4,3]=>[2,4,1,7,6,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,2,5,1,4]=>[1,7,4,2,6,3,5]=>[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,2,5,4,1]=>[1,7,2,6,4,3,5]=>[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,4,1,2,5]=>[1,7,5,2,6,3,4]=>[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,4,1,5,2]=>[1,7,2,6,5,3,4]=>[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,4,2,1,5]=>[1,7,5,2,6,3,4]=>[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,4,2,5,1]=>[1,7,2,6,5,3,4]=>[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,4,5,1,2]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,4,5,2,1]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,5,1,2,4]=>[1,7,4,5,2,6,3]=>[2,6,1,4,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,5,1,4,2]=>[1,7,2,6,4,5,3]=>[2,4,1,6,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,5,2,1,4]=>[1,7,4,5,2,6,3]=>[2,6,1,4,5,7,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,5,2,4,1]=>[1,7,2,6,4,5,3]=>[2,4,1,6,7,5,3]=>[2,7,1,6,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,5,4,1,2]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,3,5,4,2,1]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,1,2,3,5]=>[1,7,5,2,6,3,4]=>[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,1,2,5,3]=>[1,7,3,4,2,6,5]=>[2,6,4,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,1,3,2,5]=>[1,7,5,3,4,2,6]=>[2,7,5,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,1,3,5,2]=>[1,7,2,6,5,3,4]=>[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,1,5,2,3]=>[1,7,3,4,2,6,5]=>[2,6,4,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,1,5,3,2]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,2,1,3,5]=>[1,7,5,2,6,3,4]=>[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,2,1,5,3]=>[1,7,3,4,2,6,5]=>[2,6,4,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,2,3,1,5]=>[1,7,5,3,4,2,6]=>[2,7,5,6,4,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,2,3,5,1]=>[1,7,2,6,5,3,4]=>[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,2,5,1,3]=>[1,7,3,4,2,6,5]=>[2,6,4,5,1,7,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,2,5,3,1]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,3,1,2,5]=>[1,7,5,2,6,3,4]=>[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,3,1,5,2]=>[1,7,2,6,5,3,4]=>[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,3,2,1,5]=>[1,7,5,2,6,3,4]=>[2,5,7,1,4,6,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,3,2,5,1]=>[1,7,2,6,5,3,4]=>[2,4,7,1,6,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,3,5,1,2]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,3,5,2,1]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,5,1,2,3]=>[1,7,3,4,5,2,6]=>[2,7,4,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,5,1,3,2]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,5,2,1,3]=>[1,7,3,4,5,2,6]=>[2,7,4,5,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,5,2,3,1]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,5,3,1,2]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,4,5,3,2,1]=>[1,7,2,6,3,4,5]=>[2,4,6,7,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,1,2,3,4]=>[1,7,4,2,6,3,5]=>[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,1,2,4,3]=>[1,7,3,5,2,6,4]=>[2,6,4,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,1,3,2,4]=>[1,7,4,2,6,3,5]=>[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,1,3,4,2]=>[1,7,2,6,4,3,5]=>[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,1,4,2,3]=>[1,7,3,5,4,2,6]=>[2,7,4,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,1,4,3,2]=>[1,7,2,6,3,5,4]=>[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,2,1,3,4]=>[1,7,4,2,6,3,5]=>[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,2,1,4,3]=>[1,7,3,5,2,6,4]=>[2,6,4,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,2,3,1,4]=>[1,7,4,2,6,3,5]=>[2,5,7,4,1,6,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,2,3,4,1]=>[1,7,2,6,4,3,5]=>[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,2,4,1,3]=>[1,7,3,5,4,2,6]=>[2,7,4,6,5,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,2,4,3,1]=>[1,7,2,6,3,5,4]=>[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,3,1,2,4]=>[1,7,4,3,5,2,6]=>[2,7,5,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,3,1,4,2]=>[1,7,2,6,4,3,5]=>[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,3,2,1,4]=>[1,7,4,3,5,2,6]=>[2,7,5,4,6,1,3]=>[2,7,6,5,4,1,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,3,2,4,1]=>[1,7,2,6,4,3,5]=>[2,4,7,6,1,5,3]=>[2,7,6,5,1,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,3,4,1,2]=>[1,7,2,6,3,5,4]=>[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,3,4,2,1]=>[1,7,2,6,3,5,4]=>[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,4,1,2,3]=>[1,7,3,5,2,6,4]=>[2,6,4,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,4,1,3,2]=>[1,7,2,6,3,5,4]=>[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,4,2,1,3]=>[1,7,3,5,2,6,4]=>[2,6,4,1,5,7,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,4,2,3,1]=>[1,7,2,6,3,5,4]=>[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,4,3,1,2]=>[1,7,2,6,3,5,4]=>[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
[7,6,5,4,3,2,1]=>[1,7,2,6,3,5,4]=>[2,4,6,1,7,5,3]=>[2,7,6,1,5,4,3]=>[[.,.],[[[[[.,.],.],.],.],.]]
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ where $c = (1,\ldots,n)$ is the long cycle.
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
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.