Identifier
Mp00090:
Permutations
—cycle-as-one-line notation⟶
Permutations
Mp00089: Permutations —Inverse Kreweras complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00089: Permutations —Inverse Kreweras complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Images
=>
Cc0010;cc-rep-3
[1]=>[1]=>[1]=>[.,.]
[1,2]=>[1,2]=>[2,1]=>[[.,.],.]
[2,1]=>[1,2]=>[2,1]=>[[.,.],.]
[1,2,3]=>[1,2,3]=>[2,3,1]=>[[.,[.,.]],.]
[1,3,2]=>[1,2,3]=>[2,3,1]=>[[.,[.,.]],.]
[2,1,3]=>[1,2,3]=>[2,3,1]=>[[.,[.,.]],.]
[2,3,1]=>[1,2,3]=>[2,3,1]=>[[.,[.,.]],.]
[3,1,2]=>[1,3,2]=>[3,2,1]=>[[[.,.],.],.]
[3,2,1]=>[1,3,2]=>[3,2,1]=>[[[.,.],.],.]
[1,2,3,4]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,2,4,3]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,3,2,4]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,3,4,2]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,4,2,3]=>[1,2,4,3]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,4,3,2]=>[1,2,4,3]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,1,3,4]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,1,4,3]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,3,1,4]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,3,4,1]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,4,1,3]=>[1,2,4,3]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[2,4,3,1]=>[1,2,4,3]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[3,1,2,4]=>[1,3,2,4]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[3,1,4,2]=>[1,3,4,2]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[3,2,1,4]=>[1,3,2,4]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[3,2,4,1]=>[1,3,4,2]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[3,4,1,2]=>[1,3,2,4]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[3,4,2,1]=>[1,3,2,4]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[4,1,2,3]=>[1,4,3,2]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[4,1,3,2]=>[1,4,2,3]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[4,2,1,3]=>[1,4,3,2]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[4,2,3,1]=>[1,4,2,3]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[4,3,1,2]=>[1,4,2,3]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[4,3,2,1]=>[1,4,2,3]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,2,3,4,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,2,3,5,4]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,2,4,3,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,2,4,5,3]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,2,5,3,4]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,2,5,4,3]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,3,2,4,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,3,2,5,4]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,3,4,2,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,3,4,5,2]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,3,5,2,4]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,3,5,4,2]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,4,2,3,5]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,2,5,3]=>[1,2,4,5,3]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,3,2,5]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,3,5,2]=>[1,2,4,5,3]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,5,2,3]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,4,5,3,2]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,5,2,3,4]=>[1,2,5,4,3]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,5,2,4,3]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,5,3,2,4]=>[1,2,5,4,3]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[1,5,3,4,2]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,5,4,2,3]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,5,4,3,2]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[2,1,3,4,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,1,3,5,4]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,1,4,3,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,1,4,5,3]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,1,5,3,4]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,1,5,4,3]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,3,1,4,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,3,1,5,4]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,3,4,1,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,3,4,5,1]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,3,5,1,4]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,3,5,4,1]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,4,1,3,5]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,4,1,5,3]=>[1,2,4,5,3]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[2,4,3,1,5]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,4,3,5,1]=>[1,2,4,5,3]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[2,4,5,1,3]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,4,5,3,1]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,5,1,3,4]=>[1,2,5,4,3]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[2,5,1,4,3]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[2,5,3,1,4]=>[1,2,5,4,3]=>[2,5,4,3,1]=>[[.,[[[.,.],.],.]],.]
[2,5,3,4,1]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[2,5,4,1,3]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[2,5,4,3,1]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[3,1,2,4,5]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,1,2,5,4]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,1,4,2,5]=>[1,3,4,2,5]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,1,4,5,2]=>[1,3,4,5,2]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[3,1,5,2,4]=>[1,3,5,4,2]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[3,1,5,4,2]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[3,2,1,4,5]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,2,1,5,4]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,2,4,1,5]=>[1,3,4,2,5]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,2,4,5,1]=>[1,3,4,5,2]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[3,2,5,1,4]=>[1,3,5,4,2]=>[5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]
[3,2,5,4,1]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[3,4,1,2,5]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,4,1,5,2]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,4,2,1,5]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,4,2,5,1]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,4,5,1,2]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[3,4,5,2,1]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[3,5,1,2,4]=>[1,3,2,5,4]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[3,5,1,4,2]=>[1,3,2,5,4]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[3,5,2,1,4]=>[1,3,2,5,4]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[3,5,2,4,1]=>[1,3,2,5,4]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[3,5,4,1,2]=>[1,3,4,2,5]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[3,5,4,2,1]=>[1,3,4,2,5]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[4,1,2,3,5]=>[1,4,3,2,5]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[4,1,2,5,3]=>[1,4,5,3,2]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[4,1,3,2,5]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[4,1,3,5,2]=>[1,4,5,2,3]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,1,5,2,3]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[4,1,5,3,2]=>[1,4,3,5,2]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[4,2,1,3,5]=>[1,4,3,2,5]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[4,2,1,5,3]=>[1,4,5,3,2]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[4,2,3,1,5]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[4,2,3,5,1]=>[1,4,5,2,3]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,2,5,1,3]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[4,2,5,3,1]=>[1,4,3,5,2]=>[5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]
[4,3,1,2,5]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[4,3,1,5,2]=>[1,4,5,2,3]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,3,2,1,5]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[4,3,2,5,1]=>[1,4,5,2,3]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[4,3,5,1,2]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[4,3,5,2,1]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,1,2,3]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,1,3,2]=>[1,4,3,2,5]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[4,5,2,1,3]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,2,3,1]=>[1,4,3,2,5]=>[4,3,2,5,1]=>[[[[.,.],.],[.,.]],.]
[4,5,3,1,2]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[4,5,3,2,1]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[5,1,2,3,4]=>[1,5,4,3,2]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,1,2,4,3]=>[1,5,3,2,4]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[5,1,3,2,4]=>[1,5,4,2,3]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[5,1,3,4,2]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[5,1,4,2,3]=>[1,5,3,4,2]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[5,1,4,3,2]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[5,2,1,3,4]=>[1,5,4,3,2]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[5,2,1,4,3]=>[1,5,3,2,4]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[5,2,3,1,4]=>[1,5,4,2,3]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[5,2,3,4,1]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[5,2,4,1,3]=>[1,5,3,4,2]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[5,2,4,3,1]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[5,3,1,2,4]=>[1,5,4,2,3]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[5,3,1,4,2]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[5,3,2,1,4]=>[1,5,4,2,3]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[5,3,2,4,1]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[5,3,4,1,2]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[5,3,4,2,1]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[5,4,1,2,3]=>[1,5,3,2,4]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[5,4,1,3,2]=>[1,5,2,4,3]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[5,4,2,1,3]=>[1,5,3,2,4]=>[4,3,5,2,1]=>[[[[.,.],[.,.]],.],.]
[5,4,2,3,1]=>[1,5,2,4,3]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[5,4,3,1,2]=>[1,5,2,4,3]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[5,4,3,2,1]=>[1,5,2,4,3]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,6,4,5]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,4,6,3,5]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,2,5,3,4,6]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,2,5,3,6,4]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,2,5,6,3,4]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,2,6,3,4,5]=>[1,2,3,6,5,4]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[1,2,6,3,5,4]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,2,6,4,3,5]=>[1,2,3,6,5,4]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[1,2,6,4,5,3]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,2,6,5,3,4]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,3,2,6,4,5]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,3,4,6,2,5]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,3,5,2,4,6]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,3,5,2,6,4]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,3,5,6,2,4]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,3,6,2,4,5]=>[1,2,3,6,5,4]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[1,3,6,2,5,4]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,3,6,4,2,5]=>[1,2,3,6,5,4]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[1,3,6,4,5,2]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,3,6,5,2,4]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,4,2,3,5,6]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,2,3,6,5]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,2,5,3,6]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,2,5,6,3]=>[1,2,4,5,6,3]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,2,6,3,5]=>[1,2,4,6,5,3]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,2,6,5,3]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,3,6,2,5]=>[1,2,4,6,5,3]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,5,2,3,6]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,5,2,6,3]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,5,6,2,3]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,6,2,3,5]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,6,2,5,3]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,6,3,2,5]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,6,3,5,2]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,4,6,5,2,3]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,5,2,3,4,6]=>[1,2,5,4,3,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,2,3,6,4]=>[1,2,5,6,4,3]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,2,4,3,6]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,2,4,6,3]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,2,6,3,4]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,2,6,4,3]=>[1,2,5,4,6,3]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,3,2,4,6]=>[1,2,5,4,3,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,3,2,6,4]=>[1,2,5,6,4,3]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,3,4,2,6]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,3,4,6,2]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,3,6,2,4]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,3,6,4,2]=>[1,2,5,4,6,3]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,4,2,3,6]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,4,2,6,3]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,4,6,2,3]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,6,2,3,4]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,6,2,4,3]=>[1,2,5,4,3,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,6,3,2,4]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,6,3,4,2]=>[1,2,5,4,3,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[1,5,6,4,2,3]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,6,2,3,4,5]=>[1,2,6,5,4,3]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[1,6,2,3,5,4]=>[1,2,6,4,3,5]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,6,2,4,3,5]=>[1,2,6,5,3,4]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[1,6,2,4,5,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,6,2,5,3,4]=>[1,2,6,4,5,3]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,6,2,5,4,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,6,3,2,4,5]=>[1,2,6,5,4,3]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[1,6,3,2,5,4]=>[1,2,6,4,3,5]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,6,3,4,2,5]=>[1,2,6,5,3,4]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[1,6,3,4,5,2]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,6,3,5,2,4]=>[1,2,6,4,5,3]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,6,3,5,4,2]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,6,4,2,3,5]=>[1,2,6,5,3,4]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[1,6,4,2,5,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,6,4,3,2,5]=>[1,2,6,5,3,4]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[1,6,4,3,5,2]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,6,4,5,2,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,6,4,5,3,2]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,6,5,2,3,4]=>[1,2,6,4,3,5]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,6,5,2,4,3]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[1,6,5,3,2,4]=>[1,2,6,4,3,5]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[1,6,5,3,4,2]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[1,6,5,4,2,3]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,1,3,6,4,5]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,1,4,6,3,5]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,1,5,3,4,6]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,1,5,3,6,4]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,1,5,6,3,4]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,1,6,3,4,5]=>[1,2,3,6,5,4]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[2,1,6,3,5,4]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[2,1,6,4,3,5]=>[1,2,3,6,5,4]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[2,1,6,4,5,3]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[2,1,6,5,3,4]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,1,6,4,5]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,4,6,1,5]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,5,1,4,6]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,5,1,6,4]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,5,6,1,4]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,6,1,4,5]=>[1,2,3,6,5,4]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[2,3,6,1,5,4]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[2,3,6,4,1,5]=>[1,2,3,6,5,4]=>[2,3,6,5,4,1]=>[[.,[.,[[[.,.],.],.]]],.]
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[2,3,6,5,1,4]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[2,4,1,3,5,6]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,1,3,6,5]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,1,5,3,6]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,1,5,6,3]=>[1,2,4,5,6,3]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,1,6,3,5]=>[1,2,4,6,5,3]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,1,6,5,3]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,3,6,1,5]=>[1,2,4,6,5,3]=>[2,6,3,5,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,5,1,3,6]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,5,1,6,3]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,5,6,1,3]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,6,1,3,5]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,6,1,5,3]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,6,3,1,5]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,6,3,5,1]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,6,5,1,3]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,5,1,3,4,6]=>[1,2,5,4,3,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[2,5,1,3,6,4]=>[1,2,5,6,4,3]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[2,5,1,4,3,6]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,1,4,6,3]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,1,6,3,4]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,1,6,4,3]=>[1,2,5,4,6,3]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[2,5,3,1,4,6]=>[1,2,5,4,3,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[2,5,3,1,6,4]=>[1,2,5,6,4,3]=>[2,6,5,3,4,1]=>[[.,[[[.,.],.],[.,.]]],.]
[2,5,3,4,1,6]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,3,4,6,1]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,3,6,1,4]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,3,6,4,1]=>[1,2,5,4,6,3]=>[2,6,4,3,5,1]=>[[.,[[[.,.],.],[.,.]]],.]
[2,5,4,1,3,6]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,4,1,6,3]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,4,6,1,3]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,6,1,3,4]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,6,1,4,3]=>[1,2,5,4,3,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[2,5,6,3,1,4]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,6,3,4,1]=>[1,2,5,4,3,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[2,5,6,4,1,3]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,6,1,3,4,5]=>[1,2,6,5,4,3]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,1,3,5,4]=>[1,2,6,4,3,5]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[2,6,1,4,3,5]=>[1,2,6,5,3,4]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[2,6,1,4,5,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[2,6,1,5,3,4]=>[1,2,6,4,5,3]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[2,6,1,5,4,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[2,6,3,1,4,5]=>[1,2,6,5,4,3]=>[2,6,5,4,3,1]=>[[.,[[[[.,.],.],.],.]],.]
[2,6,3,1,5,4]=>[1,2,6,4,3,5]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[2,6,3,4,1,5]=>[1,2,6,5,3,4]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[2,6,3,5,1,4]=>[1,2,6,4,5,3]=>[2,6,4,5,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[2,6,3,5,4,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[2,6,4,1,3,5]=>[1,2,6,5,3,4]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[2,6,4,1,5,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[2,6,4,3,1,5]=>[1,2,6,5,3,4]=>[2,5,6,4,3,1]=>[[.,[[[.,[.,.]],.],.]],.]
[2,6,4,3,5,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[2,6,4,5,1,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[2,6,5,1,3,4]=>[1,2,6,4,3,5]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[2,6,5,1,4,3]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[2,6,5,3,1,4]=>[1,2,6,4,3,5]=>[2,5,4,6,3,1]=>[[.,[[[.,.],[.,.]],.]],.]
[2,6,5,3,4,1]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[2,6,5,4,1,3]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,2,4,6,5]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,2,5,4,6]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,2,5,6,4]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,2,6,4,5]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,2,6,5,4]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,4,2,5,6]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,4,2,6,5]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,4,5,2,6]=>[1,3,4,5,2,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,4,5,6,2]=>[1,3,4,5,6,2]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,1,4,6,2,5]=>[1,3,4,6,5,2]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,4,6,5,2]=>[1,3,4,6,2,5]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,1,5,2,4,6]=>[1,3,5,4,2,6]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,5,2,6,4]=>[1,3,5,6,4,2]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,5,4,2,6]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,5,4,6,2]=>[1,3,5,6,2,4]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,5,6,2,4]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,5,6,4,2]=>[1,3,5,4,6,2]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,1,6,2,4,5]=>[1,3,6,5,4,2]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,1,6,2,5,4]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,1,6,4,2,5]=>[1,3,6,5,2,4]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,1,6,4,5,2]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,1,6,5,2,4]=>[1,3,6,4,5,2]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,1,6,5,4,2]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,2,1,6,4,5]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,2,4,6,1,5]=>[1,3,4,6,5,2]=>[6,2,3,5,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,2,5,1,4,6]=>[1,3,5,4,2,6]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,2,5,1,6,4]=>[1,3,5,6,4,2]=>[6,2,5,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,2,5,6,1,4]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,2,6,1,4,5]=>[1,3,6,5,4,2]=>[6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,1,5,4]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,2,6,4,1,5]=>[1,3,6,5,2,4]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,2,6,4,5,1]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,2,6,5,1,4]=>[1,3,6,4,5,2]=>[6,2,4,5,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,4,1,2,5,6]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,4,1,2,6,5]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,4,1,5,2,6]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,4,1,5,6,2]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,4,1,6,2,5]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,4,1,6,5,2]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,4,2,6,1,5]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,4,5,1,2,6]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,4,5,1,6,2]=>[1,3,5,6,2,4]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,4,5,6,1,2]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,4,6,1,2,5]=>[1,3,6,5,2,4]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,4,6,1,5,2]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,4,6,2,1,5]=>[1,3,6,5,2,4]=>[5,2,6,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,4,6,2,5,1]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,4,6,5,1,2]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,5,1,2,4,6]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,1,2,6,4]=>[1,3,2,5,6,4]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,1,4,2,6]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,1,4,6,2]=>[1,3,2,5,6,4]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,1,6,2,4]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,1,6,4,2]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,2,1,4,6]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,2,1,6,4]=>[1,3,2,5,6,4]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,2,4,1,6]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,2,4,6,1]=>[1,3,2,5,6,4]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,2,6,1,4]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,2,6,4,1]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,5,4,1,2,6]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,5,4,1,6,2]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,5,4,6,1,2]=>[1,3,4,6,2,5]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,5,6,1,2,4]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,5,6,1,4,2]=>[1,3,6,2,5,4]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,5,6,2,1,4]=>[1,3,6,4,2,5]=>[5,2,4,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,5,6,2,4,1]=>[1,3,6,2,5,4]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,5,6,4,1,2]=>[1,3,6,2,5,4]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,6,1,2,4,5]=>[1,3,2,6,5,4]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,6,1,2,5,4]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,6,1,4,2,5]=>[1,3,2,6,5,4]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,6,1,4,5,2]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,6,1,5,2,4]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,6,1,5,4,2]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,6,2,1,4,5]=>[1,3,2,6,5,4]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,6,2,1,5,4]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,6,2,4,1,5]=>[1,3,2,6,5,4]=>[3,2,6,5,4,1]=>[[[.,.],[[[.,.],.],.]],.]
[3,6,2,4,5,1]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,6,2,5,1,4]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,6,2,5,4,1]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[3,6,4,1,2,5]=>[1,3,4,2,6,5]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,6,4,1,5,2]=>[1,3,4,2,6,5]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,6,4,2,1,5]=>[1,3,4,2,6,5]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,6,4,2,5,1]=>[1,3,4,2,6,5]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,6,4,5,1,2]=>[1,3,4,5,2,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,6,4,5,2,1]=>[1,3,4,5,2,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[3,6,5,1,2,4]=>[1,3,5,2,6,4]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,6,5,1,4,2]=>[1,3,5,4,2,6]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,6,5,2,1,4]=>[1,3,5,2,6,4]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,6,5,2,4,1]=>[1,3,5,4,2,6]=>[5,2,4,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,6,5,4,1,2]=>[1,3,5,2,6,4]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,2,3,5,6]=>[1,4,3,2,5,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,1,2,3,6,5]=>[1,4,3,2,5,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,1,2,5,3,6]=>[1,4,5,3,2,6]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,1,2,5,6,3]=>[1,4,5,6,3,2]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,1,2,6,3,5]=>[1,4,6,5,3,2]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,1,2,6,5,3]=>[1,4,6,3,2,5]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,1,3,2,5,6]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,1,3,2,6,5]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,1,3,5,2,6]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,1,3,5,6,2]=>[1,4,5,6,2,3]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,1,3,6,2,5]=>[1,4,6,5,2,3]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,1,3,6,5,2]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,1,5,2,3,6]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,1,5,2,6,3]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,1,5,3,2,6]=>[1,4,3,5,2,6]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,1,5,3,6,2]=>[1,4,3,5,6,2]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,1,5,6,2,3]=>[1,4,6,3,5,2]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,1,5,6,3,2]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,1,6,2,3,5]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,1,6,2,5,3]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,1,6,3,2,5]=>[1,4,3,6,5,2]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,1,6,3,5,2]=>[1,4,3,6,2,5]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,1,6,5,2,3]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,1,6,5,3,2]=>[1,4,5,3,6,2]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,2,1,3,5,6]=>[1,4,3,2,5,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,2,1,3,6,5]=>[1,4,3,2,5,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,2,1,5,3,6]=>[1,4,5,3,2,6]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,2,1,5,6,3]=>[1,4,5,6,3,2]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,2,1,6,3,5]=>[1,4,6,5,3,2]=>[6,5,2,4,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,1,6,5,3]=>[1,4,6,3,2,5]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,3,1,5,6]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,2,3,1,6,5]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,2,3,5,1,6]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,2,3,5,6,1]=>[1,4,5,6,2,3]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,2,3,6,1,5]=>[1,4,6,5,2,3]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,2,3,6,5,1]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,2,5,1,3,6]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,2,5,1,6,3]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,2,5,3,1,6]=>[1,4,3,5,2,6]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,2,5,3,6,1]=>[1,4,3,5,6,2]=>[6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,2,5,6,1,3]=>[1,4,6,3,5,2]=>[6,4,2,5,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,5,6,3,1]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,2,6,1,3,5]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,2,6,1,5,3]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,2,6,3,1,5]=>[1,4,3,6,5,2]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,6,3,5,1]=>[1,4,3,6,2,5]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,2,6,5,1,3]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,2,6,5,3,1]=>[1,4,5,3,6,2]=>[6,4,2,3,5,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,3,1,2,5,6]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,1,2,6,5]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,1,5,2,6]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,1,5,6,2]=>[1,4,5,6,2,3]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,1,6,2,5]=>[1,4,6,5,2,3]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,1,6,5,2]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,2,6,1,5]=>[1,4,6,5,2,3]=>[5,6,2,4,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,5,1,2,6]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,5,1,6,2]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,5,6,1,2]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,6,1,2,5]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,6,1,5,2]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,6,2,1,5]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,6,2,5,1]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,3,6,5,1,2]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,1,2,3,6]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,1,2,6,3]=>[1,4,2,5,6,3]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,1,3,2,6]=>[1,4,3,2,5,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,5,1,3,6,2]=>[1,4,3,2,5,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,5,1,6,2,3]=>[1,4,6,3,2,5]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,5,1,6,3,2]=>[1,4,6,2,5,3]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,2,1,3,6]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,2,1,6,3]=>[1,4,2,5,6,3]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,2,3,1,6]=>[1,4,3,2,5,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,5,2,3,6,1]=>[1,4,3,2,5,6]=>[4,3,2,5,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,5,2,6,1,3]=>[1,4,6,3,2,5]=>[5,4,2,6,3,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,5,2,6,3,1]=>[1,4,6,2,5,3]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,3,1,2,6]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,3,1,6,2]=>[1,4,2,5,6,3]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,3,6,1,2]=>[1,4,6,2,5,3]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,5,6,1,2,3]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,6,1,3,2]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,6,2,1,3]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,6,2,3,1]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,5,6,3,1,2]=>[1,4,3,6,2,5]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>[5,3,2,6,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,6,1,2,3,5]=>[1,4,2,6,5,3]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,1,2,5,3]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,1,3,2,5]=>[1,4,3,2,6,5]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,6,1,3,5,2]=>[1,4,3,2,6,5]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,6,1,5,2,3]=>[1,4,5,2,6,3]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,6,1,5,3,2]=>[1,4,5,3,2,6]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,6,2,1,3,5]=>[1,4,2,6,5,3]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,2,1,5,3]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,2,3,1,5]=>[1,4,3,2,6,5]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,6,2,3,5,1]=>[1,4,3,2,6,5]=>[4,3,2,6,5,1]=>[[[[.,.],.],[[.,.],.]],.]
[4,6,2,5,1,3]=>[1,4,5,2,6,3]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,6,2,5,3,1]=>[1,4,5,3,2,6]=>[5,4,2,3,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,6,3,1,2,5]=>[1,4,2,6,5,3]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,3,1,5,2]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,3,2,1,5]=>[1,4,2,6,5,3]=>[3,6,2,5,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,3,2,5,1]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,3,5,1,2]=>[1,4,5,2,6,3]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,6,3,5,2,1]=>[1,4,5,2,6,3]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[4,6,5,1,2,3]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,5,1,3,2]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,5,2,1,3]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,5,2,3,1]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[4,6,5,3,1,2]=>[1,4,3,5,2,6]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>[5,3,2,4,6,1]=>[[[[.,.],.],[.,[.,.]]],.]
[5,1,2,3,4,6]=>[1,5,4,3,2,6]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,1,2,3,6,4]=>[1,5,6,4,3,2]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,1,2,4,3,6]=>[1,5,3,2,4,6]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,1,2,4,6,3]=>[1,5,6,3,2,4]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,1,2,6,3,4]=>[1,5,3,2,4,6]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,1,2,6,4,3]=>[1,5,4,6,3,2]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,1,3,2,4,6]=>[1,5,4,2,3,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,1,3,2,6,4]=>[1,5,6,4,2,3]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,1,3,4,2,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,1,3,4,6,2]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,1,3,6,2,4]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,1,3,6,4,2]=>[1,5,4,6,2,3]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,1,4,2,3,6]=>[1,5,3,4,2,6]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,1,4,2,6,3]=>[1,5,6,3,4,2]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,1,4,3,2,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,1,4,3,6,2]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,1,4,6,2,3]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,1,4,6,3,2]=>[1,5,3,4,6,2]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,1,6,2,3,4]=>[1,5,3,6,4,2]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,1,6,2,4,3]=>[1,5,4,2,3,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,1,6,3,2,4]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,1,6,3,4,2]=>[1,5,4,3,6,2]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,1,6,4,2,3]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,1,6,4,3,2]=>[1,5,3,6,2,4]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,2,1,3,4,6]=>[1,5,4,3,2,6]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,2,1,3,6,4]=>[1,5,6,4,3,2]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,2,1,4,3,6]=>[1,5,3,2,4,6]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,2,1,4,6,3]=>[1,5,6,3,2,4]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,2,1,6,3,4]=>[1,5,3,2,4,6]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,2,1,6,4,3]=>[1,5,4,6,3,2]=>[6,5,3,2,4,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,2,3,1,4,6]=>[1,5,4,2,3,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,2,3,1,6,4]=>[1,5,6,4,2,3]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,2,3,4,1,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,2,3,4,6,1]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,2,3,6,1,4]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,2,3,6,4,1]=>[1,5,4,6,2,3]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,2,4,1,3,6]=>[1,5,3,4,2,6]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,2,4,1,6,3]=>[1,5,6,3,4,2]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,2,4,3,1,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,2,4,3,6,1]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,2,4,6,1,3]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,2,4,6,3,1]=>[1,5,3,4,6,2]=>[6,3,4,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,2,6,1,3,4]=>[1,5,3,6,4,2]=>[6,3,5,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,2,6,1,4,3]=>[1,5,4,2,3,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,2,6,3,1,4]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,2,6,3,4,1]=>[1,5,4,3,6,2]=>[6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,2,6,4,1,3]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,2,6,4,3,1]=>[1,5,3,6,2,4]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,3,1,2,4,6]=>[1,5,4,2,3,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,3,1,2,6,4]=>[1,5,6,4,2,3]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,3,1,4,2,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,1,4,6,2]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,1,6,2,4]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,1,6,4,2]=>[1,5,4,6,2,3]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,3,2,1,4,6]=>[1,5,4,2,3,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,3,2,1,6,4]=>[1,5,6,4,2,3]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,3,2,4,1,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,2,4,6,1]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,2,6,1,4]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,2,6,4,1]=>[1,5,4,6,2,3]=>[5,6,3,2,4,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,3,4,1,2,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,4,1,6,2]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,4,2,1,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,4,2,6,1]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,4,6,1,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,4,6,2,1]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,6,1,2,4]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,6,1,4,2]=>[1,5,4,2,3,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,3,6,2,1,4]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,6,2,4,1]=>[1,5,4,2,3,6]=>[4,5,3,2,6,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,3,6,4,1,2]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,3,6,4,2,1]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,4,1,2,3,6]=>[1,5,3,2,4,6]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,4,1,2,6,3]=>[1,5,6,3,2,4]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,4,1,3,2,6]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,1,3,6,2]=>[1,5,6,2,4,3]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,1,6,2,3]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,1,6,3,2]=>[1,5,3,2,4,6]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,4,2,1,3,6]=>[1,5,3,2,4,6]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,4,2,1,6,3]=>[1,5,6,3,2,4]=>[5,4,6,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,4,2,3,1,6]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,2,3,6,1]=>[1,5,6,2,4,3]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,2,6,1,3]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,2,6,3,1]=>[1,5,3,2,4,6]=>[4,3,5,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,4,3,1,2,6]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,3,1,6,2]=>[1,5,6,2,4,3]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,3,6,1,2]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,6,1,2,3]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,6,1,3,2]=>[1,5,3,6,2,4]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,4,6,2,1,3]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,6,2,3,1]=>[1,5,3,6,2,4]=>[5,3,6,2,4,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,4,6,3,1,2]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,6,1,2,3,4]=>[1,5,3,2,6,4]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,6,1,2,4,3]=>[1,5,4,2,6,3]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,6,1,3,2,4]=>[1,5,2,6,4,3]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,6,1,3,4,2]=>[1,5,4,3,2,6]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,6,1,4,2,3]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,6,1,4,3,2]=>[1,5,3,2,6,4]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,6,2,1,3,4]=>[1,5,3,2,6,4]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,6,2,1,4,3]=>[1,5,4,2,6,3]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,6,2,3,1,4]=>[1,5,2,6,4,3]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,6,2,3,4,1]=>[1,5,4,3,2,6]=>[5,4,3,2,6,1]=>[[[[[.,.],.],.],[.,.]],.]
[5,6,2,4,1,3]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,6,2,4,3,1]=>[1,5,3,2,6,4]=>[4,3,6,2,5,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,6,3,1,2,4]=>[1,5,2,6,4,3]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,6,3,1,4,2]=>[1,5,4,2,6,3]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,6,3,2,1,4]=>[1,5,2,6,4,3]=>[3,6,5,2,4,1]=>[[[.,[[.,.],.]],[.,.]],.]
[5,6,3,2,4,1]=>[1,5,4,2,6,3]=>[4,6,3,2,5,1]=>[[[[.,[.,.]],.],[.,.]],.]
[5,6,3,4,1,2]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,6,3,4,2,1]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,6,4,1,2,3]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,6,4,1,3,2]=>[1,5,3,4,2,6]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,6,4,2,1,3]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,6,4,2,3,1]=>[1,5,3,4,2,6]=>[5,3,4,2,6,1]=>[[[[.,.],[.,.]],[.,.]],.]
[5,6,4,3,1,2]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
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[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
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[6,1,2,4,5,3]=>[1,6,3,2,4,5]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,1,2,5,3,4]=>[1,6,4,5,3,2]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,1,2,5,4,3]=>[1,6,3,2,4,5]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,1,3,2,4,5]=>[1,6,5,4,2,3]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[6,1,3,2,5,4]=>[1,6,4,2,3,5]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,1,3,4,2,5]=>[1,6,5,2,3,4]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
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[6,1,3,5,4,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,1,4,2,3,5]=>[1,6,5,3,4,2]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[6,1,4,2,5,3]=>[1,6,3,4,2,5]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,1,4,3,2,5]=>[1,6,5,2,3,4]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[6,1,4,3,5,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,1,4,5,2,3]=>[1,6,3,4,5,2]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,1,4,5,3,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,1,5,2,3,4]=>[1,6,4,2,3,5]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,1,5,2,4,3]=>[1,6,3,5,4,2]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,1,5,3,2,4]=>[1,6,4,3,5,2]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,1,5,3,4,2]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[6,1,5,4,2,3]=>[1,6,3,5,2,4]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,1,5,4,3,2]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[6,2,1,3,4,5]=>[1,6,5,4,3,2]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,2,1,3,5,4]=>[1,6,4,3,2,5]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,2,1,4,3,5]=>[1,6,5,3,2,4]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[6,2,1,4,5,3]=>[1,6,3,2,4,5]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,2,1,5,3,4]=>[1,6,4,5,3,2]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,2,1,5,4,3]=>[1,6,3,2,4,5]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,2,3,1,4,5]=>[1,6,5,4,2,3]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[6,2,3,1,5,4]=>[1,6,4,2,3,5]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,2,3,4,1,5]=>[1,6,5,2,3,4]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[6,2,3,4,5,1]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,2,3,5,1,4]=>[1,6,4,5,2,3]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,2,3,5,4,1]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,2,4,1,3,5]=>[1,6,5,3,4,2]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[6,2,4,1,5,3]=>[1,6,3,4,2,5]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,2,4,3,1,5]=>[1,6,5,2,3,4]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[6,2,4,3,5,1]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,2,4,5,1,3]=>[1,6,3,4,5,2]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,2,4,5,3,1]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,2,5,1,3,4]=>[1,6,4,2,3,5]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,2,5,1,4,3]=>[1,6,3,5,4,2]=>[6,3,5,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,2,5,3,1,4]=>[1,6,4,3,5,2]=>[6,4,3,5,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,2,5,3,4,1]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[6,2,5,4,1,3]=>[1,6,3,5,2,4]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
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[6,3,1,4,2,5]=>[1,6,5,2,3,4]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[6,3,1,4,5,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,3,1,5,2,4]=>[1,6,4,5,2,3]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
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[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
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[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
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[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
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[6,5,3,1,2,4]=>[1,6,4,2,5,3]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,3,1,4,2]=>[1,6,2,5,4,3]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,3,2,1,4]=>[1,6,4,2,5,3]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,3,2,4,1]=>[1,6,2,5,4,3]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,3,4,1,2]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[6,5,3,4,2,1]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[6,5,4,1,2,3]=>[1,6,3,4,2,5]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,5,4,1,3,2]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[6,5,4,2,1,3]=>[1,6,3,4,2,5]=>[5,3,4,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,5,4,2,3,1]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[6,5,4,3,1,2]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[6,5,4,3,2,1]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,2,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,2,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,2,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,2,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[1,2,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,2,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[1,2,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,2,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,2,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,2,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,2,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,2,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,2,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,2,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[1,2,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,2,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[1,2,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,2,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,2,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,2,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,6,3,4,5,7]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,2,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,2,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,3,7,5,4]=>[1,2,3,6,5,7,4]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,2,6,4,3,5,7]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,2,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,2,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,4,7,5,3]=>[1,2,3,6,5,7,4]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,2,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,7,3,5,4]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,2,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,7,4,5,3]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,2,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[1,2,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,2,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[1,2,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,2,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[1,2,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,2,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[1,2,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,2,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[1,2,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[1,2,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,2,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[1,2,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,2,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[1,2,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[1,2,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[1,3,2,4,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,2,4,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,2,4,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,2,4,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,2,4,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,3,2,4,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,3,2,5,4,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,2,5,4,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,2,5,6,4,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,2,5,6,7,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,2,5,7,4,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,3,2,5,7,6,4]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,3,2,6,4,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,2,6,4,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,2,6,5,4,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,2,6,5,7,4]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,2,6,7,4,5]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,2,6,7,5,4]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,2,7,4,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[1,3,2,7,4,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,3,2,7,5,4,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[1,3,2,7,5,6,4]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,3,2,7,6,4,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,3,2,7,6,5,4]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,3,4,2,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,4,2,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,4,2,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,4,2,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,4,2,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,3,4,2,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,3,4,5,2,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,4,5,2,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,4,5,6,2,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,4,5,6,7,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,4,5,7,2,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,3,4,5,7,6,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,3,4,6,2,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,4,6,2,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,4,6,5,2,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,4,6,5,7,2]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,4,6,7,2,5]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,4,6,7,5,2]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,3,4,7,2,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[1,3,4,7,2,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,3,4,7,5,2,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[1,3,4,7,5,6,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,3,4,7,6,2,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,3,4,7,6,5,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,3,5,2,4,6,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,2,4,7,6]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,2,6,4,7]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,2,6,7,4]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,2,7,4,6]=>[1,2,3,5,7,6,4]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,3,5,2,7,6,4]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,3,5,4,2,6,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,4,2,7,6]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,4,6,2,7]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,4,6,7,2]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,4,7,2,6]=>[1,2,3,5,7,6,4]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,3,5,4,7,6,2]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,3,5,6,2,4,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,6,2,7,4]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,6,4,2,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,6,4,7,2]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,6,7,2,4]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,3,5,6,7,4,2]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,3,5,7,2,4,6]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,3,5,7,2,6,4]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,3,5,7,4,2,6]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,3,5,7,4,6,2]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,3,5,7,6,2,4]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,7,6,4,2]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,3,6,2,4,5,7]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,3,6,2,4,7,5]=>[1,2,3,6,7,5,4]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,3,6,2,5,4,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,2,5,7,4]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,2,7,4,5]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,2,7,5,4]=>[1,2,3,6,5,7,4]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,3,6,4,2,5,7]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,3,6,4,2,7,5]=>[1,2,3,6,7,5,4]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,3,6,4,5,2,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,4,5,7,2]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,4,7,2,5]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,4,7,5,2]=>[1,2,3,6,5,7,4]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,3,6,5,2,4,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,5,2,7,4]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,5,4,2,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,5,4,7,2]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,5,7,2,4]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,5,7,4,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,7,2,4,5]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,7,2,5,4]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,3,6,7,4,2,5]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,7,4,5,2]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[1,3,6,7,5,2,4]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,6,7,5,4,2]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,3,7,2,4,5,6]=>[1,2,3,7,6,5,4]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[1,3,7,2,4,6,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,3,7,2,5,4,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[1,3,7,2,5,6,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,3,7,2,6,4,5]=>[1,2,3,7,5,6,4]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,3,7,2,6,5,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,3,7,4,2,5,6]=>[1,2,3,7,6,5,4]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[1,3,7,4,2,6,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,3,7,4,5,2,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[1,3,7,4,5,6,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,3,7,4,6,2,5]=>[1,2,3,7,5,6,4]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,3,7,4,6,5,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,3,7,5,2,4,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[1,3,7,5,2,6,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,3,7,5,4,2,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[1,3,7,5,4,6,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,3,7,5,6,2,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,3,7,5,6,4,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,3,7,6,2,4,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,3,7,6,2,5,4]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[1,3,7,6,4,2,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[1,3,7,6,4,5,2]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[1,3,7,6,5,2,4]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[1,3,7,6,5,4,2]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[1,4,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,2,3,5,7,6]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,2,3,6,5,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,2,3,6,7,5]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,2,3,7,5,6]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,2,3,7,6,5]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,2,5,3,6,7]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,2,5,3,7,6]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,2,5,6,3,7]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,2,5,6,7,3]=>[1,2,4,5,6,7,3]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,2,5,7,3,6]=>[1,2,4,5,7,6,3]=>[2,7,3,4,6,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,2,5,7,6,3]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,2,6,3,5,7]=>[1,2,4,6,5,3,7]=>[2,6,3,5,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,2,6,3,7,5]=>[1,2,4,6,7,5,3]=>[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,2,6,5,3,7]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,2,6,5,7,3]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,2,6,7,3,5]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,2,6,7,5,3]=>[1,2,4,6,5,7,3]=>[2,7,3,5,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,2,7,3,5,6]=>[1,2,4,7,6,5,3]=>[2,7,3,6,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,2,7,3,6,5]=>[1,2,4,7,5,3,6]=>[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,2,7,5,3,6]=>[1,2,4,7,6,3,5]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,2,7,5,6,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,2,7,6,3,5]=>[1,2,4,7,5,6,3]=>[2,7,3,5,6,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,2,7,6,5,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,3,2,5,6,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,3,2,5,7,6]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,3,2,6,5,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,3,2,6,7,5]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,3,2,7,5,6]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,3,2,7,6,5]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,3,5,2,6,7]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,3,5,2,7,6]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,3,5,6,2,7]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,3,5,6,7,2]=>[1,2,4,5,6,7,3]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,3,5,7,2,6]=>[1,2,4,5,7,6,3]=>[2,7,3,4,6,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,3,5,7,6,2]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,3,6,2,5,7]=>[1,2,4,6,5,3,7]=>[2,6,3,5,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,3,6,2,7,5]=>[1,2,4,6,7,5,3]=>[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,3,6,5,2,7]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,3,6,5,7,2]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,3,6,7,2,5]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,3,6,7,5,2]=>[1,2,4,6,5,7,3]=>[2,7,3,5,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,3,7,2,5,6]=>[1,2,4,7,6,5,3]=>[2,7,3,6,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,3,7,2,6,5]=>[1,2,4,7,5,3,6]=>[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,3,7,5,2,6]=>[1,2,4,7,6,3,5]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,3,7,5,6,2]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,3,7,6,2,5]=>[1,2,4,7,5,6,3]=>[2,7,3,5,6,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,3,7,6,5,2]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,5,2,3,6,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,5,2,3,7,6]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,5,2,6,3,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,5,2,6,7,3]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,5,2,7,3,6]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,5,2,7,6,3]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,5,3,2,6,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,5,3,2,7,6]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,5,3,6,2,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,5,3,6,7,2]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,5,3,7,2,6]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,5,3,7,6,2]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,5,6,2,3,7]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,5,6,2,7,3]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,5,6,3,2,7]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,5,6,3,7,2]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,5,6,7,2,3]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,5,6,7,3,2]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,5,7,2,3,6]=>[1,2,4,7,6,3,5]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,5,7,2,6,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,5,7,3,2,6]=>[1,2,4,7,6,3,5]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,5,7,3,6,2]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,5,7,6,2,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,5,7,6,3,2]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,6,2,3,5,7]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,2,3,7,5]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,2,5,3,7]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,2,5,7,3]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,2,7,3,5]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,2,7,5,3]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,3,2,5,7]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,3,2,7,5]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,3,5,2,7]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,3,5,7,2]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,3,7,2,5]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,3,7,5,2]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,6,5,2,3,7]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,6,5,2,7,3]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,6,5,3,2,7]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,6,5,3,7,2]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,6,5,7,2,3]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,6,5,7,3,2]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,6,7,2,3,5]=>[1,2,4,7,5,3,6]=>[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,6,7,2,5,3]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,6,7,3,2,5]=>[1,2,4,7,5,3,6]=>[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,6,7,3,5,2]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,6,7,5,2,3]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,6,7,5,3,2]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,7,2,3,5,6]=>[1,2,4,3,7,6,5]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,7,2,3,6,5]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,7,2,5,3,6]=>[1,2,4,3,7,6,5]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,7,2,5,6,3]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,7,2,6,3,5]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,7,2,6,5,3]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,7,3,2,5,6]=>[1,2,4,3,7,6,5]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,7,3,2,6,5]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,7,3,5,2,6]=>[1,2,4,3,7,6,5]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,4,7,3,5,6,2]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,7,3,6,2,5]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,7,3,6,5,2]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,4,7,5,2,3,6]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,7,5,2,6,3]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,7,5,3,2,6]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,7,5,3,6,2]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,4,7,5,6,2,3]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,7,5,6,3,2]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,4,7,6,2,3,5]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,7,6,2,5,3]=>[1,2,4,6,5,3,7]=>[2,6,3,5,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,7,6,3,2,5]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,7,6,3,5,2]=>[1,2,4,6,5,3,7]=>[2,6,3,5,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,7,6,5,2,3]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,4,7,6,5,3,2]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,5,2,3,4,6,7]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,2,3,4,7,6]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,2,3,6,4,7]=>[1,2,5,6,4,3,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,2,3,6,7,4]=>[1,2,5,6,7,4,3]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,2,3,7,4,6]=>[1,2,5,7,6,4,3]=>[2,7,6,3,5,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,2,3,7,6,4]=>[1,2,5,7,4,3,6]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,2,4,3,6,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,2,4,3,7,6]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,2,4,6,3,7]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,2,4,6,7,3]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,2,4,7,3,6]=>[1,2,5,7,6,3,4]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,2,4,7,6,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,2,6,3,4,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,2,6,3,7,4]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,2,6,4,3,7]=>[1,2,5,4,6,3,7]=>[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,2,6,4,7,3]=>[1,2,5,4,6,7,3]=>[2,7,4,3,5,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,2,6,7,3,4]=>[1,2,5,7,4,6,3]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,2,6,7,4,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,2,7,3,4,6]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,2,7,3,6,4]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,2,7,4,3,6]=>[1,2,5,4,7,6,3]=>[2,7,4,3,6,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,2,7,4,6,3]=>[1,2,5,4,7,3,6]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,2,7,6,3,4]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,2,7,6,4,3]=>[1,2,5,6,4,7,3]=>[2,7,5,3,4,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,3,2,4,6,7]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,3,2,4,7,6]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,3,2,6,4,7]=>[1,2,5,6,4,3,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,3,2,6,7,4]=>[1,2,5,6,7,4,3]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,3,2,7,4,6]=>[1,2,5,7,6,4,3]=>[2,7,6,3,5,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,3,2,7,6,4]=>[1,2,5,7,4,3,6]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,3,4,2,6,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,3,4,2,7,6]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,3,4,6,2,7]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,3,4,6,7,2]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,3,4,7,2,6]=>[1,2,5,7,6,3,4]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,3,4,7,6,2]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,3,6,2,4,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,3,6,2,7,4]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,3,6,4,2,7]=>[1,2,5,4,6,3,7]=>[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,3,6,4,7,2]=>[1,2,5,4,6,7,3]=>[2,7,4,3,5,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,3,6,7,2,4]=>[1,2,5,7,4,6,3]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,3,6,7,4,2]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,3,7,2,4,6]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,3,7,2,6,4]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,3,7,4,2,6]=>[1,2,5,4,7,6,3]=>[2,7,4,3,6,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,3,7,4,6,2]=>[1,2,5,4,7,3,6]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,3,7,6,2,4]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,3,7,6,4,2]=>[1,2,5,6,4,7,3]=>[2,7,5,3,4,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,4,2,3,6,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,2,3,7,6]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,2,6,3,7]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,2,6,7,3]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,2,7,3,6]=>[1,2,5,7,6,3,4]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,4,2,7,6,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,4,3,2,6,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,3,2,7,6]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,3,6,2,7]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,3,6,7,2]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,3,7,2,6]=>[1,2,5,7,6,3,4]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,4,3,7,6,2]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,4,6,2,3,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,6,2,7,3]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,6,3,2,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,6,3,7,2]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,6,7,2,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,4,6,7,3,2]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,4,7,2,3,6]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,4,7,2,6,3]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,4,7,3,2,6]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,4,7,3,6,2]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,4,7,6,2,3]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,7,6,3,2]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,2,3,4,7]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,2,3,7,4]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,2,4,3,7]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,6,2,4,7,3]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,6,2,7,3,4]=>[1,2,5,7,4,3,6]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,6,2,7,4,3]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,6,3,2,4,7]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,3,2,7,4]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,3,4,2,7]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,6,3,4,7,2]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,6,3,7,2,4]=>[1,2,5,7,4,3,6]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,6,3,7,4,2]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,6,4,2,3,7]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,4,2,7,3]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,4,3,2,7]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,4,3,7,2]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,4,7,2,3]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,6,4,7,3,2]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,6,7,2,3,4]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,7,2,4,3]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,7,3,2,4]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,7,3,4,2]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,6,7,4,2,3]=>[1,2,5,4,7,3,6]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,6,7,4,3,2]=>[1,2,5,4,7,3,6]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,7,2,3,4,6]=>[1,2,5,3,7,6,4]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,2,3,6,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,2,4,3,6]=>[1,2,5,4,3,7,6]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,7,2,4,6,3]=>[1,2,5,4,3,7,6]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,7,2,6,3,4]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,7,2,6,4,3]=>[1,2,5,6,4,3,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,7,3,2,4,6]=>[1,2,5,3,7,6,4]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,3,2,6,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,3,4,2,6]=>[1,2,5,4,3,7,6]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,7,3,4,6,2]=>[1,2,5,4,3,7,6]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[1,5,7,3,6,2,4]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,7,3,6,4,2]=>[1,2,5,6,4,3,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,7,4,2,3,6]=>[1,2,5,3,7,6,4]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,4,2,6,3]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,4,3,2,6]=>[1,2,5,3,7,6,4]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,4,3,6,2]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,4,6,2,3]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,7,4,6,3,2]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,5,7,6,2,3,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,6,2,4,3]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,6,3,2,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,6,3,4,2]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,5,7,6,4,2,3]=>[1,2,5,4,6,3,7]=>[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,5,7,6,4,3,2]=>[1,2,5,4,6,3,7]=>[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[1,6,2,3,4,5,7]=>[1,2,6,5,4,3,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,6,2,3,4,7,5]=>[1,2,6,7,5,4,3]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,6,2,3,5,4,7]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,2,3,5,7,4]=>[1,2,6,7,4,3,5]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,2,3,7,4,5]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,2,3,7,5,4]=>[1,2,6,5,7,4,3]=>[2,7,6,4,3,5,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,6,2,4,3,5,7]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,2,4,3,7,5]=>[1,2,6,7,5,3,4]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,2,4,5,3,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,2,4,5,7,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,2,4,7,3,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,2,4,7,5,3]=>[1,2,6,5,7,3,4]=>[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,2,5,3,4,7]=>[1,2,6,4,5,3,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,2,5,3,7,4]=>[1,2,6,7,4,5,3]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,2,5,4,3,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,2,5,4,7,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,2,5,7,3,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,2,5,7,4,3]=>[1,2,6,4,5,7,3]=>[2,7,4,5,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,2,7,3,4,5]=>[1,2,6,4,7,5,3]=>[2,7,4,6,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,2,7,3,5,4]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,2,7,4,3,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,2,7,4,5,3]=>[1,2,6,5,4,7,3]=>[2,7,5,4,3,6,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,6,2,7,5,3,4]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,2,7,5,4,3]=>[1,2,6,4,7,3,5]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,3,2,4,5,7]=>[1,2,6,5,4,3,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,6,3,2,4,7,5]=>[1,2,6,7,5,4,3]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,6,3,2,5,4,7]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,3,2,5,7,4]=>[1,2,6,7,4,3,5]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,3,2,7,4,5]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,3,2,7,5,4]=>[1,2,6,5,7,4,3]=>[2,7,6,4,3,5,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,6,3,4,2,5,7]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,3,4,2,7,5]=>[1,2,6,7,5,3,4]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,3,4,5,2,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,3,4,5,7,2]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,3,4,7,2,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,3,4,7,5,2]=>[1,2,6,5,7,3,4]=>[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,3,5,2,4,7]=>[1,2,6,4,5,3,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,3,5,2,7,4]=>[1,2,6,7,4,5,3]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,3,5,4,2,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,3,5,4,7,2]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,3,5,7,2,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,3,5,7,4,2]=>[1,2,6,4,5,7,3]=>[2,7,4,5,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,3,7,2,4,5]=>[1,2,6,4,7,5,3]=>[2,7,4,6,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,3,7,2,5,4]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,3,7,4,2,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,3,7,4,5,2]=>[1,2,6,5,4,7,3]=>[2,7,5,4,3,6,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,6,3,7,5,2,4]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,3,7,5,4,2]=>[1,2,6,4,7,3,5]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,4,2,3,5,7]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,4,2,3,7,5]=>[1,2,6,7,5,3,4]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,4,2,5,3,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,2,5,7,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,2,7,3,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,2,7,5,3]=>[1,2,6,5,7,3,4]=>[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,4,3,2,5,7]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,4,3,2,7,5]=>[1,2,6,7,5,3,4]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,4,3,5,2,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,3,5,7,2]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,3,7,2,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,3,7,5,2]=>[1,2,6,5,7,3,4]=>[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,4,5,2,3,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,5,2,7,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,5,3,2,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,5,3,7,2]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,5,7,2,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,5,7,3,2]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,7,2,3,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,7,2,5,3]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,4,7,3,2,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,7,3,5,2]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,4,7,5,2,3]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,4,7,5,3,2]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,5,2,3,4,7]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,5,2,3,7,4]=>[1,2,6,7,4,3,5]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,5,2,4,3,7]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,2,4,7,3]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,2,7,3,4]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,2,7,4,3]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,5,3,2,4,7]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,5,3,2,7,4]=>[1,2,6,7,4,3,5]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,5,3,4,2,7]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,3,4,7,2]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,3,7,2,4]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,3,7,4,2]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,5,4,2,3,7]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,4,2,7,3]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,4,3,2,7]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,4,3,7,2]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,4,7,2,3]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,4,7,3,2]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,7,2,3,4]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,7,2,4,3]=>[1,2,6,4,7,3,5]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,5,7,3,2,4]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,7,3,4,2]=>[1,2,6,4,7,3,5]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,5,7,4,2,3]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,5,7,4,3,2]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,7,2,3,4,5]=>[1,2,6,4,3,7,5]=>[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,7,2,3,5,4]=>[1,2,6,5,3,7,4]=>[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,7,2,4,3,5]=>[1,2,6,3,7,5,4]=>[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,7,2,4,5,3]=>[1,2,6,5,4,3,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,6,7,2,5,3,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,7,2,5,4,3]=>[1,2,6,4,3,7,5]=>[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,7,3,2,4,5]=>[1,2,6,4,3,7,5]=>[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,7,3,2,5,4]=>[1,2,6,5,3,7,4]=>[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,7,3,4,2,5]=>[1,2,6,3,7,5,4]=>[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,7,3,4,5,2]=>[1,2,6,5,4,3,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[1,6,7,3,5,2,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,7,3,5,4,2]=>[1,2,6,4,3,7,5]=>[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,7,4,2,3,5]=>[1,2,6,3,7,5,4]=>[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,7,4,2,5,3]=>[1,2,6,5,3,7,4]=>[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,7,4,3,2,5]=>[1,2,6,3,7,5,4]=>[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,6,7,4,3,5,2]=>[1,2,6,5,3,7,4]=>[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[1,6,7,4,5,2,3]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,7,4,5,3,2]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,7,5,2,3,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,7,5,2,4,3]=>[1,2,6,4,5,3,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,7,5,3,2,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,7,5,3,4,2]=>[1,2,6,4,5,3,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[1,6,7,5,4,2,3]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,6,7,5,4,3,2]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,7,2,3,4,5,6]=>[1,2,7,6,5,4,3]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,2,3,4,6,5]=>[1,2,7,5,4,3,6]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[1,7,2,3,5,4,6]=>[1,2,7,6,4,3,5]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[1,7,2,3,5,6,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,2,3,6,4,5]=>[1,2,7,5,6,4,3]=>[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[1,7,2,3,6,5,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,2,4,3,5,6]=>[1,2,7,6,5,3,4]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[1,7,2,4,3,6,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,2,4,5,3,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[1,7,2,4,5,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,2,4,6,3,5]=>[1,2,7,5,6,3,4]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,2,4,6,5,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,2,5,3,4,6]=>[1,2,7,6,4,5,3]=>[2,7,5,6,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[1,7,2,5,3,6,4]=>[1,2,7,4,5,3,6]=>[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,2,5,4,3,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[1,7,2,5,4,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,2,5,6,3,4]=>[1,2,7,4,5,6,3]=>[2,7,4,5,6,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,2,5,6,4,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,2,6,3,4,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,2,6,3,5,4]=>[1,2,7,4,6,5,3]=>[2,7,4,6,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,7,2,6,4,3,5]=>[1,2,7,5,4,6,3]=>[2,7,5,4,6,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[1,7,2,6,4,5,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,7,2,6,5,3,4]=>[1,2,7,4,6,3,5]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,7,2,6,5,4,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,7,3,2,4,5,6]=>[1,2,7,6,5,4,3]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[1,7,3,2,4,6,5]=>[1,2,7,5,4,3,6]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[1,7,3,2,5,4,6]=>[1,2,7,6,4,3,5]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[1,7,3,2,5,6,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,3,2,6,4,5]=>[1,2,7,5,6,4,3]=>[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[1,7,3,2,6,5,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,3,4,2,5,6]=>[1,2,7,6,5,3,4]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[1,7,3,4,2,6,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,3,4,5,2,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[1,7,3,4,5,6,2]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,3,4,6,2,5]=>[1,2,7,5,6,3,4]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,3,4,6,5,2]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,3,5,2,4,6]=>[1,2,7,6,4,5,3]=>[2,7,5,6,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[1,7,3,5,2,6,4]=>[1,2,7,4,5,3,6]=>[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,3,5,4,2,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[1,7,3,5,4,6,2]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,3,5,6,2,4]=>[1,2,7,4,5,6,3]=>[2,7,4,5,6,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,3,5,6,4,2]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,3,6,2,4,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,3,6,2,5,4]=>[1,2,7,4,6,5,3]=>[2,7,4,6,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,7,3,6,4,2,5]=>[1,2,7,5,4,6,3]=>[2,7,5,4,6,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[1,7,3,6,4,5,2]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,7,3,6,5,2,4]=>[1,2,7,4,6,3,5]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,7,3,6,5,4,2]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,7,4,2,3,5,6]=>[1,2,7,6,5,3,4]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[1,7,4,2,3,6,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,4,2,5,3,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[1,7,4,2,5,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,4,2,6,3,5]=>[1,2,7,5,6,3,4]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,4,2,6,5,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,4,3,2,5,6]=>[1,2,7,6,5,3,4]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[1,7,4,3,2,6,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,4,3,5,2,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[1,7,4,3,5,6,2]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,4,3,6,2,5]=>[1,2,7,5,6,3,4]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,4,3,6,5,2]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,4,5,2,3,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[1,7,4,5,2,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,4,5,3,2,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[1,7,4,5,3,6,2]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,4,5,6,2,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,4,5,6,3,2]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,7,4,6,2,3,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,4,6,2,5,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,7,4,6,3,2,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,4,6,3,5,2]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,7,4,6,5,2,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,7,4,6,5,3,2]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,7,5,2,3,4,6]=>[1,2,7,6,4,3,5]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[1,7,5,2,3,6,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,5,2,4,3,6]=>[1,2,7,6,3,5,4]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[1,7,5,2,4,6,3]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,2,6,3,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,5,2,6,4,3]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,3,2,4,6]=>[1,2,7,6,4,3,5]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[1,7,5,3,2,6,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,5,3,4,2,6]=>[1,2,7,6,3,5,4]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[1,7,5,3,4,6,2]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,3,6,2,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,5,3,6,4,2]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,4,2,3,6]=>[1,2,7,6,3,5,4]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[1,7,5,4,2,6,3]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,4,3,2,6]=>[1,2,7,6,3,5,4]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[1,7,5,4,3,6,2]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,4,6,2,3]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,4,6,3,2]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,6,2,3,4]=>[1,2,7,4,6,3,5]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,7,5,6,2,4,3]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,6,3,2,4]=>[1,2,7,4,6,3,5]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,7,5,6,3,4,2]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,6,4,2,3]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,6,4,3,2]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,7,6,2,3,4,5]=>[1,2,7,5,3,6,4]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,6,2,3,5,4]=>[1,2,7,4,3,6,5]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,7,6,2,4,3,5]=>[1,2,7,5,4,3,6]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[1,7,6,2,4,5,3]=>[1,2,7,3,6,5,4]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[1,7,6,2,5,3,4]=>[1,2,7,4,3,6,5]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,7,6,2,5,4,3]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,7,6,3,2,4,5]=>[1,2,7,5,3,6,4]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,6,3,2,5,4]=>[1,2,7,4,3,6,5]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,7,6,3,4,2,5]=>[1,2,7,5,4,3,6]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[1,7,6,3,4,5,2]=>[1,2,7,3,6,5,4]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[1,7,6,3,5,2,4]=>[1,2,7,4,3,6,5]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[1,7,6,3,5,4,2]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,7,6,4,2,3,5]=>[1,2,7,5,3,6,4]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,6,4,2,5,3]=>[1,2,7,3,6,5,4]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[1,7,6,4,3,2,5]=>[1,2,7,5,3,6,4]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[1,7,6,4,3,5,2]=>[1,2,7,3,6,5,4]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[1,7,6,4,5,2,3]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,7,6,4,5,3,2]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,7,6,5,2,3,4]=>[1,2,7,4,5,3,6]=>[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,6,5,2,4,3]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,7,6,5,3,2,4]=>[1,2,7,4,5,3,6]=>[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[1,7,6,5,3,4,2]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,7,6,5,4,2,3]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,7,6,5,4,3,2]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,1,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,3,4,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,1,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,1,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,3,5,7,4,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,1,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,1,3,6,4,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,3,6,4,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,3,6,7,4,5]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,3,7,4,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[2,1,3,7,4,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,1,3,7,5,4,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[2,1,3,7,5,6,4]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,1,3,7,6,4,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,1,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,1,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,4,3,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,1,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,1,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,4,5,7,3,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,1,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,1,4,6,3,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,4,6,3,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,4,6,7,3,5]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,1,4,7,3,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[2,1,4,7,3,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,1,4,7,5,3,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[2,1,4,7,5,6,3]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,1,4,7,6,3,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,1,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,1,5,3,4,6,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,3,4,7,6]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,3,6,4,7]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,3,6,7,4]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,3,7,4,6]=>[1,2,3,5,7,6,4]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,1,5,3,7,6,4]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,1,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,4,7,3,6]=>[1,2,3,5,7,6,4]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,1,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,1,5,6,3,4,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,6,3,7,4]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,6,7,3,4]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,1,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,1,5,7,3,4,6]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,1,5,7,3,6,4]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,1,5,7,4,3,6]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,1,5,7,4,6,3]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,1,5,7,6,3,4]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,1,6,3,4,5,7]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,1,6,3,4,7,5]=>[1,2,3,6,7,5,4]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,1,6,3,5,4,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,3,5,7,4]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,3,7,4,5]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,3,7,5,4]=>[1,2,3,6,5,7,4]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,1,6,4,3,5,7]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,1,6,4,3,7,5]=>[1,2,3,6,7,5,4]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,1,6,4,5,3,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,4,5,7,3]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,4,7,3,5]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,4,7,5,3]=>[1,2,3,6,5,7,4]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,1,6,5,3,4,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,5,3,7,4]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,5,7,3,4]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,7,3,4,5]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,7,3,5,4]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,1,6,7,4,3,5]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,7,4,5,3]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,1,6,7,5,3,4]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,1,7,3,4,5,6]=>[1,2,3,7,6,5,4]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[2,1,7,3,4,6,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,1,7,3,5,4,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[2,1,7,3,5,6,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,1,7,3,6,4,5]=>[1,2,3,7,5,6,4]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,1,7,3,6,5,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,1,7,4,3,5,6]=>[1,2,3,7,6,5,4]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[2,1,7,4,3,6,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,1,7,4,5,3,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[2,1,7,4,5,6,3]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,1,7,4,6,3,5]=>[1,2,3,7,5,6,4]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,1,7,4,6,5,3]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,1,7,5,3,4,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[2,1,7,5,3,6,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,1,7,5,4,3,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[2,1,7,5,4,6,3]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,1,7,5,6,3,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,1,7,5,6,4,3]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,1,7,6,3,4,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,1,7,6,3,5,4]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[2,1,7,6,4,3,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,1,7,6,4,5,3]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[2,1,7,6,5,3,4]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[2,1,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[2,3,1,4,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,4,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,4,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,4,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,4,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,3,1,4,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,3,1,5,4,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,5,4,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,5,6,4,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,5,6,7,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,5,7,4,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,3,1,5,7,6,4]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,3,1,6,4,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,1,6,4,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,1,6,5,4,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,1,6,5,7,4]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,1,6,7,4,5]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,1,6,7,5,4]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,1,7,4,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[2,3,1,7,4,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,3,1,7,5,4,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[2,3,1,7,5,6,4]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,3,1,7,6,4,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,3,1,7,6,5,4]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,3,4,1,5,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,1,5,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,1,6,5,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,1,6,7,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,1,7,5,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,3,4,1,7,6,5]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,3,4,5,1,6,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,1,7,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,6,1,7]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,7,1,6]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[2,3,4,6,1,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,6,1,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,6,5,1,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,6,5,7,1]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,6,7,1,5]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,6,7,5,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,7,1,5,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[2,3,4,7,1,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,3,4,7,5,1,6]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[[.,[.,[.,[[[.,.],.],.]]]],.]
[2,3,4,7,5,6,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,3,4,7,6,1,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[2,3,5,1,4,6,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,1,4,7,6]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,1,6,4,7]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,1,6,7,4]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,1,7,4,6]=>[1,2,3,5,7,6,4]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,1,7,6,4]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,4,1,6,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,4,1,7,6]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,4,6,1,7]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,4,6,7,1]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,4,7,1,6]=>[1,2,3,5,7,6,4]=>[2,3,7,4,6,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,4,7,6,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,6,1,4,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,6,1,7,4]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,6,4,1,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,6,4,7,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,6,7,1,4]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,6,7,4,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,7,1,4,6]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,7,1,6,4]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,7,4,1,6]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,7,4,6,1]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,7,6,1,4]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,7,6,4,1]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,6,1,4,5,7]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,3,6,1,4,7,5]=>[1,2,3,6,7,5,4]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,3,6,1,5,4,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,1,5,7,4]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,1,7,4,5]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,1,7,5,4]=>[1,2,3,6,5,7,4]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,3,6,4,1,5,7]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,3,6,4,1,7,5]=>[1,2,3,6,7,5,4]=>[2,3,7,6,4,5,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,3,6,4,5,1,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,4,5,7,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,4,7,1,5]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,4,7,5,1]=>[1,2,3,6,5,7,4]=>[2,3,7,5,4,6,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,3,6,5,1,4,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,5,1,7,4]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,5,4,1,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,5,4,7,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,5,7,1,4]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,7,1,4,5]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,7,1,5,4]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,3,6,7,4,1,5]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,7,4,5,1]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[[.,[.,[[[.,.],.],[.,.]]]],.]
[2,3,6,7,5,1,4]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,7,5,4,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,7,1,4,5,6]=>[1,2,3,7,6,5,4]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[2,3,7,1,4,6,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,3,7,1,5,4,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[2,3,7,1,5,6,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,3,7,1,6,4,5]=>[1,2,3,7,5,6,4]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,3,7,1,6,5,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,3,7,4,1,5,6]=>[1,2,3,7,6,5,4]=>[2,3,7,6,5,4,1]=>[[.,[.,[[[[.,.],.],.],.]]],.]
[2,3,7,4,1,6,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,3,7,4,5,1,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[2,3,7,4,5,6,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,3,7,4,6,1,5]=>[1,2,3,7,5,6,4]=>[2,3,7,5,6,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,3,7,4,6,5,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,3,7,5,1,4,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[2,3,7,5,1,6,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,3,7,5,4,1,6]=>[1,2,3,7,6,4,5]=>[2,3,6,7,5,4,1]=>[[.,[.,[[[.,[.,.]],.],.]]],.]
[2,3,7,5,4,6,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,3,7,5,6,1,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,3,7,5,6,4,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,3,7,6,1,4,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,3,7,6,1,5,4]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[2,3,7,6,4,1,5]=>[1,2,3,7,5,4,6]=>[2,3,6,5,7,4,1]=>[[.,[.,[[[.,.],[.,.]],.]]],.]
[2,3,7,6,4,5,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[2,3,7,6,5,1,4]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[2,3,7,6,5,4,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[2,4,1,3,5,6,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,1,3,5,7,6]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,1,3,6,5,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,1,3,6,7,5]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,1,3,7,5,6]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,1,3,7,6,5]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,1,5,3,6,7]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,1,5,3,7,6]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,1,5,6,3,7]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,1,5,6,7,3]=>[1,2,4,5,6,7,3]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,1,5,7,3,6]=>[1,2,4,5,7,6,3]=>[2,7,3,4,6,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,1,5,7,6,3]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,1,6,3,5,7]=>[1,2,4,6,5,3,7]=>[2,6,3,5,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,1,6,3,7,5]=>[1,2,4,6,7,5,3]=>[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,1,6,5,3,7]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,1,6,5,7,3]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,1,6,7,3,5]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,1,6,7,5,3]=>[1,2,4,6,5,7,3]=>[2,7,3,5,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,1,7,3,5,6]=>[1,2,4,7,6,5,3]=>[2,7,3,6,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,1,7,3,6,5]=>[1,2,4,7,5,3,6]=>[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,1,7,5,3,6]=>[1,2,4,7,6,3,5]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,1,7,5,6,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,1,7,6,3,5]=>[1,2,4,7,5,6,3]=>[2,7,3,5,6,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,1,7,6,5,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,3,1,5,6,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,3,1,5,7,6]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,3,1,6,5,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,3,1,6,7,5]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,3,1,7,5,6]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,3,1,7,6,5]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,3,5,1,6,7]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,3,5,1,7,6]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,3,5,6,1,7]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,3,5,6,7,1]=>[1,2,4,5,6,7,3]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,3,5,7,1,6]=>[1,2,4,5,7,6,3]=>[2,7,3,4,6,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,3,5,7,6,1]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,3,6,1,5,7]=>[1,2,4,6,5,3,7]=>[2,6,3,5,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,3,6,1,7,5]=>[1,2,4,6,7,5,3]=>[2,7,3,6,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,3,6,5,1,7]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,3,6,5,7,1]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,3,6,7,1,5]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,3,6,7,5,1]=>[1,2,4,6,5,7,3]=>[2,7,3,5,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,3,7,1,5,6]=>[1,2,4,7,6,5,3]=>[2,7,3,6,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,3,7,1,6,5]=>[1,2,4,7,5,3,6]=>[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,3,7,5,1,6]=>[1,2,4,7,6,3,5]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,3,7,5,6,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,3,7,6,1,5]=>[1,2,4,7,5,6,3]=>[2,7,3,5,6,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,3,7,6,5,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,5,1,3,6,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,5,1,3,7,6]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,5,1,6,3,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,5,1,6,7,3]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,5,1,7,3,6]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,5,1,7,6,3]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,5,3,1,6,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,5,3,1,7,6]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,5,3,6,1,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,5,3,6,7,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,5,3,7,1,6]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,5,3,7,6,1]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,5,6,1,3,7]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,5,6,1,7,3]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,5,6,3,1,7]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,5,6,3,7,1]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,5,6,7,1,3]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,5,6,7,3,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,5,7,1,3,6]=>[1,2,4,7,6,3,5]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,5,7,1,6,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,5,7,3,1,6]=>[1,2,4,7,6,3,5]=>[2,6,3,7,5,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,5,7,3,6,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,5,7,6,1,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,5,7,6,3,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,6,1,3,5,7]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,1,3,7,5]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,1,5,3,7]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,1,5,7,3]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,1,7,3,5]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,1,7,5,3]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,3,1,5,7]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,3,1,7,5]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,3,5,1,7]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,3,5,7,1]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,3,7,1,5]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,3,7,5,1]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,5,1,3,7]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,6,5,1,7,3]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,6,5,3,1,7]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,6,5,3,7,1]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,6,5,7,1,3]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,6,5,7,3,1]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,6,7,1,3,5]=>[1,2,4,7,5,3,6]=>[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,6,7,1,5,3]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,6,7,3,1,5]=>[1,2,4,7,5,3,6]=>[2,6,3,5,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,6,7,3,5,1]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,6,7,5,1,3]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,6,7,5,3,1]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,7,1,3,5,6]=>[1,2,4,3,7,6,5]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,7,1,3,6,5]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,7,1,5,3,6]=>[1,2,4,3,7,6,5]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,7,1,5,6,3]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,7,1,6,3,5]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,7,1,6,5,3]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,7,3,1,5,6]=>[1,2,4,3,7,6,5]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,7,3,1,6,5]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,7,3,5,1,6]=>[1,2,4,3,7,6,5]=>[2,4,3,7,6,5,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,7,3,5,6,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,7,3,6,1,5]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,7,3,6,5,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,7,5,1,3,6]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,7,5,1,6,3]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,7,5,3,1,6]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,7,5,3,6,1]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,7,5,6,1,3]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,7,5,6,3,1]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,7,6,1,3,5]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,7,6,1,5,3]=>[1,2,4,6,5,3,7]=>[2,6,3,5,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,7,6,3,1,5]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,7,6,3,5,1]=>[1,2,4,6,5,3,7]=>[2,6,3,5,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,7,6,5,1,3]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,7,6,5,3,1]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,5,1,3,4,6,7]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,1,3,4,7,6]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,1,3,6,4,7]=>[1,2,5,6,4,3,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,1,3,6,7,4]=>[1,2,5,6,7,4,3]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,1,3,7,4,6]=>[1,2,5,7,6,4,3]=>[2,7,6,3,5,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,1,3,7,6,4]=>[1,2,5,7,4,3,6]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,1,4,3,6,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,1,4,3,7,6]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,1,4,6,3,7]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,1,4,6,7,3]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,1,4,7,3,6]=>[1,2,5,7,6,3,4]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,1,4,7,6,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,1,6,3,4,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,1,6,3,7,4]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,1,6,4,3,7]=>[1,2,5,4,6,3,7]=>[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,1,6,4,7,3]=>[1,2,5,4,6,7,3]=>[2,7,4,3,5,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,1,6,7,3,4]=>[1,2,5,7,4,6,3]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,1,6,7,4,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,1,7,3,4,6]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,1,7,3,6,4]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,1,7,4,3,6]=>[1,2,5,4,7,6,3]=>[2,7,4,3,6,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,1,7,4,6,3]=>[1,2,5,4,7,3,6]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,1,7,6,3,4]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,1,7,6,4,3]=>[1,2,5,6,4,7,3]=>[2,7,5,3,4,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,3,1,4,6,7]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,3,1,4,7,6]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,3,1,6,4,7]=>[1,2,5,6,4,3,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,3,1,6,7,4]=>[1,2,5,6,7,4,3]=>[2,7,6,3,4,5,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,3,1,7,4,6]=>[1,2,5,7,6,4,3]=>[2,7,6,3,5,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,3,1,7,6,4]=>[1,2,5,7,4,3,6]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,3,4,1,6,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,3,4,1,7,6]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,3,4,6,1,7]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,3,4,6,7,1]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,3,4,7,1,6]=>[1,2,5,7,6,3,4]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,3,4,7,6,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,3,6,1,4,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,3,6,1,7,4]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,3,6,4,1,7]=>[1,2,5,4,6,3,7]=>[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,3,6,4,7,1]=>[1,2,5,4,6,7,3]=>[2,7,4,3,5,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,3,6,7,1,4]=>[1,2,5,7,4,6,3]=>[2,7,5,3,6,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,3,6,7,4,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,3,7,1,4,6]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,3,7,1,6,4]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,3,7,4,1,6]=>[1,2,5,4,7,6,3]=>[2,7,4,3,6,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,3,7,4,6,1]=>[1,2,5,4,7,3,6]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,3,7,6,1,4]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,3,7,6,4,1]=>[1,2,5,6,4,7,3]=>[2,7,5,3,4,6,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,4,1,3,6,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,1,3,7,6]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,1,6,3,7]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,1,6,7,3]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,1,7,3,6]=>[1,2,5,7,6,3,4]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,1,7,6,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,3,1,6,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,3,1,7,6]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,3,6,1,7]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,3,6,7,1]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,3,7,1,6]=>[1,2,5,7,6,3,4]=>[2,6,7,3,5,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,3,7,6,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,6,1,3,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,6,1,7,3]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,6,3,1,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,6,3,7,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,6,7,1,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,6,7,3,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,7,1,3,6]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,7,1,6,3]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,7,3,1,6]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,7,3,6,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,7,6,1,3]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,7,6,3,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,1,3,4,7]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,1,3,7,4]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,1,4,3,7]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,6,1,4,7,3]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,6,1,7,3,4]=>[1,2,5,7,4,3,6]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,6,1,7,4,3]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,6,3,1,4,7]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,3,1,7,4]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,3,4,1,7]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,6,3,4,7,1]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,6,3,7,1,4]=>[1,2,5,7,4,3,6]=>[2,6,5,3,7,4,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,6,3,7,4,1]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,6,4,1,3,7]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,4,1,7,3]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,4,3,1,7]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,4,3,7,1]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,4,7,1,3]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,6,4,7,3,1]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,6,7,1,3,4]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,7,1,4,3]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,7,3,1,4]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,7,3,4,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,7,4,1,3]=>[1,2,5,4,7,3,6]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,6,7,4,3,1]=>[1,2,5,4,7,3,6]=>[2,6,4,3,7,5,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,7,1,3,4,6]=>[1,2,5,3,7,6,4]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,1,3,6,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,1,4,3,6]=>[1,2,5,4,3,7,6]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,7,1,4,6,3]=>[1,2,5,4,3,7,6]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,7,1,6,3,4]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,7,1,6,4,3]=>[1,2,5,6,4,3,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,7,3,1,4,6]=>[1,2,5,3,7,6,4]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,3,1,6,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,3,4,1,6]=>[1,2,5,4,3,7,6]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,7,3,4,6,1]=>[1,2,5,4,3,7,6]=>[2,5,4,3,7,6,1]=>[[.,[[[.,.],.],[[.,.],.]]],.]
[2,5,7,3,6,1,4]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,7,3,6,4,1]=>[1,2,5,6,4,3,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,7,4,1,3,6]=>[1,2,5,3,7,6,4]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,4,1,6,3]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,4,3,1,6]=>[1,2,5,3,7,6,4]=>[2,4,7,3,6,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,4,3,6,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,4,6,1,3]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,7,4,6,3,1]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,7,6,1,3,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,6,1,4,3]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,6,3,1,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,6,3,4,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,6,4,1,3]=>[1,2,5,4,6,3,7]=>[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,5,7,6,4,3,1]=>[1,2,5,4,6,3,7]=>[2,6,4,3,5,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,6,1,3,4,5,7]=>[1,2,6,5,4,3,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,6,1,3,4,7,5]=>[1,2,6,7,5,4,3]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,6,1,3,5,4,7]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,1,3,5,7,4]=>[1,2,6,7,4,3,5]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,1,3,7,4,5]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,1,3,7,5,4]=>[1,2,6,5,7,4,3]=>[2,7,6,4,3,5,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,6,1,4,3,5,7]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,1,4,3,7,5]=>[1,2,6,7,5,3,4]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,1,4,5,3,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,1,4,5,7,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,1,4,7,3,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,1,4,7,5,3]=>[1,2,6,5,7,3,4]=>[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,1,5,3,4,7]=>[1,2,6,4,5,3,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,1,5,3,7,4]=>[1,2,6,7,4,5,3]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,1,5,4,3,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,1,5,4,7,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,1,5,7,3,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,1,5,7,4,3]=>[1,2,6,4,5,7,3]=>[2,7,4,5,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,1,7,3,4,5]=>[1,2,6,4,7,5,3]=>[2,7,4,6,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,1,7,3,5,4]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,1,7,4,3,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,1,7,4,5,3]=>[1,2,6,5,4,7,3]=>[2,7,5,4,3,6,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,6,1,7,5,3,4]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,1,7,5,4,3]=>[1,2,6,4,7,3,5]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,3,1,4,5,7]=>[1,2,6,5,4,3,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,6,3,1,4,7,5]=>[1,2,6,7,5,4,3]=>[2,7,6,5,3,4,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,6,3,1,5,4,7]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,3,1,5,7,4]=>[1,2,6,7,4,3,5]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,3,1,7,4,5]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,3,1,7,5,4]=>[1,2,6,5,7,4,3]=>[2,7,6,4,3,5,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,6,3,4,1,5,7]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,3,4,1,7,5]=>[1,2,6,7,5,3,4]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,3,4,5,1,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,3,4,5,7,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,3,4,7,1,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,3,4,7,5,1]=>[1,2,6,5,7,3,4]=>[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,3,5,1,4,7]=>[1,2,6,4,5,3,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,3,5,1,7,4]=>[1,2,6,7,4,5,3]=>[2,7,5,6,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,3,5,4,1,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,3,5,4,7,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,3,5,7,1,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,3,5,7,4,1]=>[1,2,6,4,5,7,3]=>[2,7,4,5,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,3,7,1,4,5]=>[1,2,6,4,7,5,3]=>[2,7,4,6,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,3,7,1,5,4]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,3,7,4,1,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,3,7,4,5,1]=>[1,2,6,5,4,7,3]=>[2,7,5,4,3,6,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,6,3,7,5,1,4]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,3,7,5,4,1]=>[1,2,6,4,7,3,5]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,4,1,3,5,7]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,4,1,3,7,5]=>[1,2,6,7,5,3,4]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,4,1,5,3,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,1,5,7,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,1,7,3,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,1,7,5,3]=>[1,2,6,5,7,3,4]=>[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,4,3,1,5,7]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,4,3,1,7,5]=>[1,2,6,7,5,3,4]=>[2,6,7,5,3,4,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,4,3,5,1,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,3,5,7,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,3,7,1,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,3,7,5,1]=>[1,2,6,5,7,3,4]=>[2,6,7,4,3,5,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,4,5,1,3,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,5,1,7,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,5,3,1,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,5,3,7,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,5,7,1,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,5,7,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,7,1,3,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,7,1,5,3]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,4,7,3,1,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,7,3,5,1]=>[1,2,6,5,3,4,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,4,7,5,1,3]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,7,5,3,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,5,1,3,4,7]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,5,1,3,7,4]=>[1,2,6,7,4,3,5]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,5,1,4,3,7]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,1,4,7,3]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,1,7,3,4]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,1,7,4,3]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,5,3,1,4,7]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,5,3,1,7,4]=>[1,2,6,7,4,3,5]=>[2,6,5,7,3,4,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,5,3,4,1,7]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,3,4,7,1]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,3,7,1,4]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,3,7,4,1]=>[1,2,6,4,3,5,7]=>[2,5,4,6,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,5,4,1,3,7]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,4,1,7,3]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,4,3,1,7]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,4,3,7,1]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,4,7,1,3]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,4,7,3,1]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,7,1,3,4]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,7,1,4,3]=>[1,2,6,4,7,3,5]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,5,7,3,1,4]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,7,3,4,1]=>[1,2,6,4,7,3,5]=>[2,6,4,7,3,5,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,5,7,4,1,3]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,7,4,3,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,7,1,3,4,5]=>[1,2,6,4,3,7,5]=>[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,7,1,3,5,4]=>[1,2,6,5,3,7,4]=>[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,7,1,4,3,5]=>[1,2,6,3,7,5,4]=>[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,7,1,4,5,3]=>[1,2,6,5,4,3,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,6,7,1,5,3,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,7,1,5,4,3]=>[1,2,6,4,3,7,5]=>[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,7,3,1,4,5]=>[1,2,6,4,3,7,5]=>[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,7,3,1,5,4]=>[1,2,6,5,3,7,4]=>[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,7,3,4,1,5]=>[1,2,6,3,7,5,4]=>[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,7,3,4,5,1]=>[1,2,6,5,4,3,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,6,7,3,5,1,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,7,3,5,4,1]=>[1,2,6,4,3,7,5]=>[2,5,4,7,3,6,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,7,4,1,3,5]=>[1,2,6,3,7,5,4]=>[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,7,4,1,5,3]=>[1,2,6,5,3,7,4]=>[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,7,4,3,1,5]=>[1,2,6,3,7,5,4]=>[2,4,7,6,3,5,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,7,4,3,5,1]=>[1,2,6,5,3,7,4]=>[2,5,7,4,3,6,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,6,7,4,5,1,3]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,7,4,5,3,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,7,5,1,3,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,7,5,1,4,3]=>[1,2,6,4,5,3,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,7,5,3,1,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,7,5,3,4,1]=>[1,2,6,4,5,3,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,6,7,5,4,1,3]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,7,5,4,3,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,7,1,3,4,5,6]=>[1,2,7,6,5,4,3]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,1,3,4,6,5]=>[1,2,7,5,4,3,6]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[2,7,1,3,5,4,6]=>[1,2,7,6,4,3,5]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[2,7,1,3,5,6,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,1,3,6,4,5]=>[1,2,7,5,6,4,3]=>[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[2,7,1,3,6,5,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,1,4,3,5,6]=>[1,2,7,6,5,3,4]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[2,7,1,4,3,6,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,1,4,5,3,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[2,7,1,4,5,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,1,4,6,3,5]=>[1,2,7,5,6,3,4]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,1,4,6,5,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,1,5,3,4,6]=>[1,2,7,6,4,5,3]=>[2,7,5,6,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[2,7,1,5,3,6,4]=>[1,2,7,4,5,3,6]=>[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,1,5,4,3,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[2,7,1,5,4,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,1,5,6,3,4]=>[1,2,7,4,5,6,3]=>[2,7,4,5,6,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,1,5,6,4,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,1,6,3,4,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,1,6,3,5,4]=>[1,2,7,4,6,5,3]=>[2,7,4,6,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,7,1,6,4,3,5]=>[1,2,7,5,4,6,3]=>[2,7,5,4,6,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[2,7,1,6,4,5,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[2,7,1,6,5,3,4]=>[1,2,7,4,6,3,5]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,7,1,6,5,4,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[2,7,3,1,4,5,6]=>[1,2,7,6,5,4,3]=>[2,7,6,5,4,3,1]=>[[.,[[[[[.,.],.],.],.],.]],.]
[2,7,3,1,4,6,5]=>[1,2,7,5,4,3,6]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[2,7,3,1,5,4,6]=>[1,2,7,6,4,3,5]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[2,7,3,1,5,6,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,3,1,6,4,5]=>[1,2,7,5,6,4,3]=>[2,7,6,4,5,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[2,7,3,1,6,5,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,3,4,1,5,6]=>[1,2,7,6,5,3,4]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[2,7,3,4,1,6,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,3,4,5,1,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[2,7,3,4,5,6,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,3,4,6,1,5]=>[1,2,7,5,6,3,4]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,3,4,6,5,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,3,5,1,4,6]=>[1,2,7,6,4,5,3]=>[2,7,5,6,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[2,7,3,5,1,6,4]=>[1,2,7,4,5,3,6]=>[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,3,5,4,1,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[2,7,3,5,4,6,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,3,5,6,1,4]=>[1,2,7,4,5,6,3]=>[2,7,4,5,6,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,3,5,6,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,3,6,1,4,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,3,6,1,5,4]=>[1,2,7,4,6,5,3]=>[2,7,4,6,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,7,3,6,4,1,5]=>[1,2,7,5,4,6,3]=>[2,7,5,4,6,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[2,7,3,6,4,5,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[2,7,3,6,5,1,4]=>[1,2,7,4,6,3,5]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,7,3,6,5,4,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[2,7,4,1,3,5,6]=>[1,2,7,6,5,3,4]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[2,7,4,1,3,6,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,4,1,5,3,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[2,7,4,1,5,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,4,1,6,3,5]=>[1,2,7,5,6,3,4]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,4,1,6,5,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,4,3,1,5,6]=>[1,2,7,6,5,3,4]=>[2,6,7,5,4,3,1]=>[[.,[[[[.,[.,.]],.],.],.]],.]
[2,7,4,3,1,6,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,4,3,5,1,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[2,7,4,3,5,6,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,4,3,6,1,5]=>[1,2,7,5,6,3,4]=>[2,6,7,4,5,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,4,3,6,5,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,4,5,1,3,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[2,7,4,5,1,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,4,5,3,1,6]=>[1,2,7,6,3,4,5]=>[2,5,6,7,4,3,1]=>[[.,[[[.,[.,[.,.]]],.],.]],.]
[2,7,4,5,3,6,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,4,5,6,1,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,4,5,6,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,4,6,1,3,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,4,6,1,5,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[2,7,4,6,3,1,5]=>[1,2,7,5,3,4,6]=>[2,5,6,4,7,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,4,6,3,5,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[2,7,4,6,5,1,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[2,7,4,6,5,3,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[2,7,5,1,3,4,6]=>[1,2,7,6,4,3,5]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[2,7,5,1,3,6,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,5,1,4,3,6]=>[1,2,7,6,3,5,4]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[2,7,5,1,4,6,3]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,5,1,6,3,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,5,1,6,4,3]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,5,3,1,4,6]=>[1,2,7,6,4,3,5]=>[2,6,5,7,4,3,1]=>[[.,[[[[.,.],[.,.]],.],.]],.]
[2,7,5,3,1,6,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,5,3,4,1,6]=>[1,2,7,6,3,5,4]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[2,7,5,3,4,6,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,5,3,6,1,4]=>[1,2,7,4,3,5,6]=>[2,5,4,6,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,5,3,6,4,1]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,5,4,1,3,6]=>[1,2,7,6,3,5,4]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[2,7,5,4,1,6,3]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,5,4,3,1,6]=>[1,2,7,6,3,5,4]=>[2,5,7,6,4,3,1]=>[[.,[[[.,[[.,.],.]],.],.]],.]
[2,7,5,4,3,6,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,5,4,6,1,3]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,5,4,6,3,1]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,5,6,1,3,4]=>[1,2,7,4,6,3,5]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,7,5,6,1,4,3]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,5,6,3,1,4]=>[1,2,7,4,6,3,5]=>[2,6,4,7,5,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,7,5,6,3,4,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,5,6,4,1,3]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,5,6,4,3,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,6,1,3,4,5]=>[1,2,7,5,3,6,4]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,6,1,3,5,4]=>[1,2,7,4,3,6,5]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,7,6,1,4,3,5]=>[1,2,7,5,4,3,6]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[2,7,6,1,4,5,3]=>[1,2,7,3,6,5,4]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[2,7,6,1,5,3,4]=>[1,2,7,4,3,6,5]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,7,6,1,5,4,3]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,6,3,1,4,5]=>[1,2,7,5,3,6,4]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,6,3,1,5,4]=>[1,2,7,4,3,6,5]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,7,6,3,4,1,5]=>[1,2,7,5,4,3,6]=>[2,6,5,4,7,3,1]=>[[.,[[[[.,.],.],[.,.]],.]],.]
[2,7,6,3,4,5,1]=>[1,2,7,3,6,5,4]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[2,7,6,3,5,1,4]=>[1,2,7,4,3,6,5]=>[2,5,4,7,6,3,1]=>[[.,[[[.,.],[[.,.],.]],.]],.]
[2,7,6,3,5,4,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,6,4,1,3,5]=>[1,2,7,5,3,6,4]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,6,4,1,5,3]=>[1,2,7,3,6,5,4]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[2,7,6,4,3,1,5]=>[1,2,7,5,3,6,4]=>[2,5,7,4,6,3,1]=>[[.,[[[.,[.,.]],[.,.]],.]],.]
[2,7,6,4,3,5,1]=>[1,2,7,3,6,5,4]=>[2,4,7,6,5,3,1]=>[[.,[[.,[[[.,.],.],.]],.]],.]
[2,7,6,4,5,1,3]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,6,4,5,3,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,6,5,1,3,4]=>[1,2,7,4,5,3,6]=>[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,6,5,1,4,3]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,6,5,3,1,4]=>[1,2,7,4,5,3,6]=>[2,6,4,5,7,3,1]=>[[.,[[[.,.],[.,[.,.]]],.]],.]
[2,7,6,5,3,4,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,6,5,4,1,3]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,6,5,4,3,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,2,4,5,7,6]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,2,4,6,5,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,2,4,6,7,5]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,2,4,7,5,6]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,1,2,4,7,6,5]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,1,2,5,4,6,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,2,5,4,7,6]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,2,5,6,4,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,2,5,6,7,4]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,2,5,7,4,6]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,1,2,5,7,6,4]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,1,2,6,4,5,7]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,2,6,4,7,5]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,2,6,5,4,7]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,2,6,5,7,4]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,2,6,7,4,5]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,2,6,7,5,4]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,2,7,4,5,6]=>[1,3,2,4,7,6,5]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,1,2,7,4,6,5]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,1,2,7,5,4,6]=>[1,3,2,4,7,6,5]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,1,2,7,5,6,4]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,1,2,7,6,4,5]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,1,2,7,6,5,4]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,1,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,4,2,5,7,6]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,4,2,6,5,7]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,4,2,6,7,5]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,4,2,7,5,6]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,1,4,2,7,6,5]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,1,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,4,5,2,7,6]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,1,4,5,7,2,6]=>[1,3,4,5,7,6,2]=>[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,1,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,1,4,6,2,5,7]=>[1,3,4,6,5,2,7]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,4,6,2,7,5]=>[1,3,4,6,7,5,2]=>[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,4,6,5,2,7]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,4,6,5,7,2]=>[1,3,4,6,7,2,5]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,4,6,7,2,5]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,4,6,7,5,2]=>[1,3,4,6,5,7,2]=>[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,1,4,7,2,5,6]=>[1,3,4,7,6,5,2]=>[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,1,4,7,2,6,5]=>[1,3,4,7,5,2,6]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,1,4,7,5,2,6]=>[1,3,4,7,6,2,5]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,1,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,1,4,7,6,2,5]=>[1,3,4,7,5,6,2]=>[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,1,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,1,5,2,4,6,7]=>[1,3,5,4,2,6,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,2,4,7,6]=>[1,3,5,4,2,6,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,2,6,4,7]=>[1,3,5,6,4,2,7]=>[6,2,5,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,2,6,7,4]=>[1,3,5,6,7,4,2]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,2,7,4,6]=>[1,3,5,7,6,4,2]=>[7,2,6,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,1,5,2,7,6,4]=>[1,3,5,7,4,2,6]=>[6,2,5,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,1,5,4,2,6,7]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,4,2,7,6]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,4,6,2,7]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,4,6,7,2]=>[1,3,5,6,7,2,4]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,4,7,2,6]=>[1,3,5,7,6,2,4]=>[6,2,7,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,1,5,4,7,6,2]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,1,5,6,2,4,7]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,6,2,7,4]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,6,4,2,7]=>[1,3,5,4,6,2,7]=>[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,6,4,7,2]=>[1,3,5,4,6,7,2]=>[7,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,6,7,2,4]=>[1,3,5,7,4,6,2]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,1,5,6,7,4,2]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,1,5,7,2,4,6]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,1,5,7,2,6,4]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,1,5,7,4,2,6]=>[1,3,5,4,7,6,2]=>[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,1,5,7,4,6,2]=>[1,3,5,4,7,2,6]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,1,5,7,6,2,4]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,5,7,6,4,2]=>[1,3,5,6,4,7,2]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,1,6,2,4,5,7]=>[1,3,6,5,4,2,7]=>[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,1,6,2,4,7,5]=>[1,3,6,7,5,4,2]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,1,6,2,5,4,7]=>[1,3,6,4,2,5,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,2,5,7,4]=>[1,3,6,7,4,2,5]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,2,7,4,5]=>[1,3,6,4,2,5,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,2,7,5,4]=>[1,3,6,5,7,4,2]=>[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,1,6,4,2,5,7]=>[1,3,6,5,2,4,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,1,6,4,2,7,5]=>[1,3,6,7,5,2,4]=>[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,1,6,4,5,2,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,4,5,7,2]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,4,7,2,5]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,4,7,5,2]=>[1,3,6,5,7,2,4]=>[6,2,7,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,1,6,5,2,4,7]=>[1,3,6,4,5,2,7]=>[6,2,4,5,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,5,2,7,4]=>[1,3,6,7,4,5,2]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,5,4,2,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,5,4,7,2]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,5,7,4,2]=>[1,3,6,4,5,7,2]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,7,2,4,5]=>[1,3,6,4,7,5,2]=>[7,2,4,6,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,7,2,5,4]=>[1,3,6,5,2,4,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,1,6,7,4,2,5]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,7,4,5,2]=>[1,3,6,5,4,7,2]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,1,6,7,5,2,4]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,6,7,5,4,2]=>[1,3,6,4,7,2,5]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,1,7,2,4,5,6]=>[1,3,7,6,5,4,2]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,7,2,4,6,5]=>[1,3,7,5,4,2,6]=>[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,1,7,2,5,4,6]=>[1,3,7,6,4,2,5]=>[6,2,5,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,1,7,2,5,6,4]=>[1,3,7,4,2,5,6]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,1,7,2,6,4,5]=>[1,3,7,5,6,4,2]=>[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,1,7,2,6,5,4]=>[1,3,7,4,2,5,6]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,1,7,4,2,5,6]=>[1,3,7,6,5,2,4]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,1,7,4,2,6,5]=>[1,3,7,5,2,4,6]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,1,7,4,5,2,6]=>[1,3,7,6,2,4,5]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,1,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,1,7,4,6,2,5]=>[1,3,7,5,6,2,4]=>[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,1,7,4,6,5,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,1,7,5,2,4,6]=>[1,3,7,6,4,5,2]=>[7,2,5,6,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,1,7,5,2,6,4]=>[1,3,7,4,5,2,6]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,1,7,5,4,2,6]=>[1,3,7,6,2,4,5]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,1,7,5,4,6,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,1,7,5,6,2,4]=>[1,3,7,4,5,6,2]=>[7,2,4,5,6,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,1,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,1,7,6,2,4,5]=>[1,3,7,5,2,4,6]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,1,7,6,2,5,4]=>[1,3,7,4,6,5,2]=>[7,2,4,6,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,1,7,6,4,2,5]=>[1,3,7,5,4,6,2]=>[7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,1,7,6,4,5,2]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,1,7,6,5,2,4]=>[1,3,7,4,6,2,5]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,1,7,6,5,4,2]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,2,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,1,4,5,7,6]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,1,4,6,5,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,1,4,6,7,5]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,1,4,7,5,6]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,2,1,4,7,6,5]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,2,1,5,4,6,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,1,5,4,7,6]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,1,5,6,4,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,1,5,6,7,4]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,1,5,7,4,6]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,2,1,5,7,6,4]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,2,1,6,4,5,7]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,1,6,4,7,5]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,1,6,5,4,7]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,1,6,5,7,4]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,1,6,7,4,5]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,1,6,7,5,4]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,1,7,4,5,6]=>[1,3,2,4,7,6,5]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,2,1,7,4,6,5]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,2,1,7,5,4,6]=>[1,3,2,4,7,6,5]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,2,1,7,5,6,4]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,2,1,7,6,4,5]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,2,1,7,6,5,4]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,2,4,1,5,6,7]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,4,1,5,7,6]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,4,1,6,5,7]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,4,1,6,7,5]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,4,1,7,5,6]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,2,4,1,7,6,5]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,2,4,5,1,6,7]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,4,5,1,7,6]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,4,5,6,1,7]=>[1,3,4,5,6,2,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,4,5,6,7,1]=>[1,3,4,5,6,7,2]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,2,4,5,7,1,6]=>[1,3,4,5,7,6,2]=>[7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,2,4,5,7,6,1]=>[1,3,4,5,7,2,6]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,2,4,6,1,5,7]=>[1,3,4,6,5,2,7]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,4,6,1,7,5]=>[1,3,4,6,7,5,2]=>[7,2,3,6,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,4,6,5,1,7]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,4,6,5,7,1]=>[1,3,4,6,7,2,5]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,4,6,7,1,5]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,4,6,7,5,1]=>[1,3,4,6,5,7,2]=>[7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,2,4,7,1,5,6]=>[1,3,4,7,6,5,2]=>[7,2,3,6,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,2,4,7,1,6,5]=>[1,3,4,7,5,2,6]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,2,4,7,5,1,6]=>[1,3,4,7,6,2,5]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,2,4,7,5,6,1]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,2,4,7,6,1,5]=>[1,3,4,7,5,6,2]=>[7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,2,4,7,6,5,1]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,2,5,1,4,6,7]=>[1,3,5,4,2,6,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,1,4,7,6]=>[1,3,5,4,2,6,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,1,6,4,7]=>[1,3,5,6,4,2,7]=>[6,2,5,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,1,6,7,4]=>[1,3,5,6,7,4,2]=>[7,2,6,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,1,7,4,6]=>[1,3,5,7,6,4,2]=>[7,2,6,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,2,5,1,7,6,4]=>[1,3,5,7,4,2,6]=>[6,2,5,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,2,5,4,1,6,7]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,4,1,7,6]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,4,6,1,7]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,4,6,7,1]=>[1,3,5,6,7,2,4]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,4,7,1,6]=>[1,3,5,7,6,2,4]=>[6,2,7,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,2,5,4,7,6,1]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,2,5,6,1,4,7]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,6,1,7,4]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,6,4,1,7]=>[1,3,5,4,6,2,7]=>[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,6,4,7,1]=>[1,3,5,4,6,7,2]=>[7,2,4,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,6,7,1,4]=>[1,3,5,7,4,6,2]=>[7,2,5,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,2,5,6,7,4,1]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,2,5,7,1,4,6]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,2,5,7,1,6,4]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,2,5,7,4,1,6]=>[1,3,5,4,7,6,2]=>[7,2,4,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,2,5,7,4,6,1]=>[1,3,5,4,7,2,6]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,2,5,7,6,1,4]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,5,7,6,4,1]=>[1,3,5,6,4,7,2]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,2,6,1,4,5,7]=>[1,3,6,5,4,2,7]=>[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,2,6,1,4,7,5]=>[1,3,6,7,5,4,2]=>[7,2,6,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,2,6,1,5,4,7]=>[1,3,6,4,2,5,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,1,5,7,4]=>[1,3,6,7,4,2,5]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,1,7,4,5]=>[1,3,6,4,2,5,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,1,7,5,4]=>[1,3,6,5,7,4,2]=>[7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,2,6,4,1,5,7]=>[1,3,6,5,2,4,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,2,6,4,1,7,5]=>[1,3,6,7,5,2,4]=>[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,2,6,4,5,1,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,4,5,7,1]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,4,7,1,5]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,4,7,5,1]=>[1,3,6,5,7,2,4]=>[6,2,7,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,2,6,5,1,4,7]=>[1,3,6,4,5,2,7]=>[6,2,4,5,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,5,1,7,4]=>[1,3,6,7,4,5,2]=>[7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,5,4,1,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,5,4,7,1]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,5,7,1,4]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,5,7,4,1]=>[1,3,6,4,5,7,2]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,7,1,4,5]=>[1,3,6,4,7,5,2]=>[7,2,4,6,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,7,1,5,4]=>[1,3,6,5,2,4,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,2,6,7,4,1,5]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,7,4,5,1]=>[1,3,6,5,4,7,2]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,2,6,7,5,1,4]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,6,7,5,4,1]=>[1,3,6,4,7,2,5]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,2,7,1,4,5,6]=>[1,3,7,6,5,4,2]=>[7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,1,4,6,5]=>[1,3,7,5,4,2,6]=>[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,2,7,1,5,4,6]=>[1,3,7,6,4,2,5]=>[6,2,5,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,2,7,1,5,6,4]=>[1,3,7,4,2,5,6]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,2,7,1,6,4,5]=>[1,3,7,5,6,4,2]=>[7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,2,7,1,6,5,4]=>[1,3,7,4,2,5,6]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,2,7,4,1,5,6]=>[1,3,7,6,5,2,4]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,2,7,4,1,6,5]=>[1,3,7,5,2,4,6]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,2,7,4,5,1,6]=>[1,3,7,6,2,4,5]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,2,7,4,5,6,1]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,2,7,4,6,1,5]=>[1,3,7,5,6,2,4]=>[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,2,7,4,6,5,1]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,2,7,5,1,4,6]=>[1,3,7,6,4,5,2]=>[7,2,5,6,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,2,7,5,1,6,4]=>[1,3,7,4,5,2,6]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,2,7,5,4,1,6]=>[1,3,7,6,2,4,5]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,2,7,5,4,6,1]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,2,7,5,6,1,4]=>[1,3,7,4,5,6,2]=>[7,2,4,5,6,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,2,7,5,6,4,1]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,2,7,6,1,4,5]=>[1,3,7,5,2,4,6]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,2,7,6,1,5,4]=>[1,3,7,4,6,5,2]=>[7,2,4,6,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,2,7,6,4,1,5]=>[1,3,7,5,4,6,2]=>[7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,2,7,6,4,5,1]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,2,7,6,5,1,4]=>[1,3,7,4,6,2,5]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,2,7,6,5,4,1]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,4,1,2,5,6,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,1,2,5,7,6]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,1,2,6,5,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,1,2,6,7,5]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,1,2,7,5,6]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,4,1,2,7,6,5]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,4,1,5,2,6,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,1,5,2,7,6]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,1,5,6,2,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,1,5,6,7,2]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,1,5,7,2,6]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,4,1,5,7,6,2]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,4,1,6,2,5,7]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,1,6,2,7,5]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,1,6,5,2,7]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,1,6,5,7,2]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,1,6,7,2,5]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,1,6,7,5,2]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,1,7,2,5,6]=>[1,3,2,4,7,6,5]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,4,1,7,2,6,5]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,4,1,7,5,2,6]=>[1,3,2,4,7,6,5]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,4,1,7,5,6,2]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,4,1,7,6,2,5]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,4,1,7,6,5,2]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,4,2,1,5,6,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,2,1,5,7,6]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,2,1,6,5,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,2,1,6,7,5]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,2,1,7,5,6]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,4,2,1,7,6,5]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,4,2,5,1,6,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,2,5,1,7,6]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,2,5,6,1,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,2,5,6,7,1]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,4,2,5,7,1,6]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,4,2,5,7,6,1]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,4,2,6,1,5,7]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,2,6,1,7,5]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,2,6,5,1,7]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,2,6,5,7,1]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,2,6,7,1,5]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,2,6,7,5,1]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,4,2,7,1,5,6]=>[1,3,2,4,7,6,5]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,4,2,7,1,6,5]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,4,2,7,5,1,6]=>[1,3,2,4,7,6,5]=>[3,2,4,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,4,2,7,5,6,1]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,4,2,7,6,1,5]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,4,2,7,6,5,1]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,4,5,1,2,6,7]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,1,2,7,6]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,1,6,2,7]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,1,6,7,2]=>[1,3,5,6,7,2,4]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,1,7,2,6]=>[1,3,5,7,6,2,4]=>[6,2,7,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,4,5,1,7,6,2]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,4,5,2,1,6,7]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,2,1,7,6]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,2,6,1,7]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,2,6,7,1]=>[1,3,5,6,7,2,4]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,2,7,1,6]=>[1,3,5,7,6,2,4]=>[6,2,7,3,5,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,4,5,2,7,6,1]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,4,5,6,1,2,7]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,1,7,2]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,2,1,7]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,2,7,1]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,7,1,2]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,4,5,6,7,2,1]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,4,5,7,1,2,6]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,4,5,7,1,6,2]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,4,5,7,2,1,6]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,4,5,7,2,6,1]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,4,5,7,6,1,2]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,5,7,6,2,1]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,4,6,1,2,5,7]=>[1,3,6,5,2,4,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,4,6,1,2,7,5]=>[1,3,6,7,5,2,4]=>[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,4,6,1,5,2,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,1,5,7,2]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,1,7,2,5]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,1,7,5,2]=>[1,3,6,5,7,2,4]=>[6,2,7,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,4,6,2,1,5,7]=>[1,3,6,5,2,4,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,4,6,2,1,7,5]=>[1,3,6,7,5,2,4]=>[6,2,7,5,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,4,6,2,5,1,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,2,5,7,1]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,2,7,1,5]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,2,7,5,1]=>[1,3,6,5,7,2,4]=>[6,2,7,4,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,4,6,5,1,2,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,5,1,7,2]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,5,2,1,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,5,2,7,1]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,5,7,1,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,5,7,2,1]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,7,1,2,5]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,7,1,5,2]=>[1,3,6,5,2,4,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,4,6,7,2,1,5]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,7,2,5,1]=>[1,3,6,5,2,4,7]=>[5,2,6,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,4,6,7,5,1,2]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,6,7,5,2,1]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,4,7,1,2,5,6]=>[1,3,7,6,5,2,4]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,4,7,1,2,6,5]=>[1,3,7,5,2,4,6]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,4,7,1,5,2,6]=>[1,3,7,6,2,4,5]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,4,7,1,5,6,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,4,7,1,6,2,5]=>[1,3,7,5,6,2,4]=>[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,4,7,1,6,5,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,4,7,2,1,5,6]=>[1,3,7,6,5,2,4]=>[6,2,7,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,4,7,2,1,6,5]=>[1,3,7,5,2,4,6]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,4,7,2,5,1,6]=>[1,3,7,6,2,4,5]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,4,7,2,5,6,1]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,4,7,2,6,1,5]=>[1,3,7,5,6,2,4]=>[6,2,7,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,4,7,2,6,5,1]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,4,7,5,1,2,6]=>[1,3,7,6,2,4,5]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,4,7,5,1,6,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,4,7,5,2,1,6]=>[1,3,7,6,2,4,5]=>[5,2,6,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,4,7,5,2,6,1]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,4,7,5,6,1,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,4,7,5,6,2,1]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,4,7,6,1,2,5]=>[1,3,7,5,2,4,6]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,4,7,6,1,5,2]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,4,7,6,2,1,5]=>[1,3,7,5,2,4,6]=>[5,2,6,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,4,7,6,2,5,1]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,4,7,6,5,1,2]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,4,7,6,5,2,1]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,5,1,2,4,6,7]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,2,4,7,6]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,2,6,4,7]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,2,6,7,4]=>[1,3,2,5,6,7,4]=>[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,2,7,4,6]=>[1,3,2,5,7,6,4]=>[3,2,7,4,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,2,7,6,4]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,4,2,6,7]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,4,2,7,6]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,4,6,2,7]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,4,6,7,2]=>[1,3,2,5,6,7,4]=>[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,4,7,2,6]=>[1,3,2,5,7,6,4]=>[3,2,7,4,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,4,7,6,2]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,6,2,4,7]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,6,2,7,4]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,6,4,2,7]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,6,4,7,2]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,6,7,2,4]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,6,7,4,2]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,7,2,4,6]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,7,2,6,4]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,7,4,2,6]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,7,4,6,2]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,7,6,2,4]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,1,7,6,4,2]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,1,4,6,7]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,1,4,7,6]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,1,6,4,7]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,1,6,7,4]=>[1,3,2,5,6,7,4]=>[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,1,7,4,6]=>[1,3,2,5,7,6,4]=>[3,2,7,4,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,1,7,6,4]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,4,1,6,7]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,4,1,7,6]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,4,6,1,7]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,4,6,7,1]=>[1,3,2,5,6,7,4]=>[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,4,7,1,6]=>[1,3,2,5,7,6,4]=>[3,2,7,4,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,4,7,6,1]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,6,1,4,7]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,6,1,7,4]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,6,4,1,7]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,6,4,7,1]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,6,7,1,4]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,6,7,4,1]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,7,1,4,6]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,7,1,6,4]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,7,4,1,6]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,7,4,6,1]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,7,6,1,4]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,2,7,6,4,1]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,5,4,1,2,6,7]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,5,4,1,2,7,6]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,5,4,1,6,2,7]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,5,4,1,6,7,2]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,5,4,1,7,2,6]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,5,4,1,7,6,2]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,5,4,2,1,6,7]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,5,4,2,1,7,6]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,5,4,2,6,1,7]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,5,4,2,6,7,1]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,5,4,2,7,1,6]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,5,4,2,7,6,1]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,5,4,6,1,2,7]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,5,4,6,1,7,2]=>[1,3,4,6,7,2,5]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,5,4,6,2,1,7]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,5,4,6,2,7,1]=>[1,3,4,6,7,2,5]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,5,4,6,7,1,2]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,5,4,6,7,2,1]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,5,4,7,1,2,6]=>[1,3,4,7,6,2,5]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,5,4,7,1,6,2]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,5,4,7,2,1,6]=>[1,3,4,7,6,2,5]=>[6,2,3,7,5,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,5,4,7,2,6,1]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,5,4,7,6,1,2]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,5,4,7,6,2,1]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,5,6,1,2,4,7]=>[1,3,6,4,2,5,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,6,1,2,7,4]=>[1,3,6,7,4,2,5]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,6,1,4,2,7]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,1,4,7,2]=>[1,3,6,7,2,5,4]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,1,7,2,4]=>[1,3,6,2,5,7,4]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,1,7,4,2]=>[1,3,6,4,2,5,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,6,2,1,4,7]=>[1,3,6,4,2,5,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,6,2,1,7,4]=>[1,3,6,7,4,2,5]=>[6,2,5,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,6,2,4,1,7]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,2,4,7,1]=>[1,3,6,7,2,5,4]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,2,7,1,4]=>[1,3,6,2,5,7,4]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,2,7,4,1]=>[1,3,6,4,2,5,7]=>[5,2,4,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,6,4,1,2,7]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,4,1,7,2]=>[1,3,6,7,2,5,4]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,4,2,1,7]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,4,2,7,1]=>[1,3,6,7,2,5,4]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,4,7,1,2]=>[1,3,6,2,5,7,4]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,4,7,2,1]=>[1,3,6,2,5,7,4]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,7,1,2,4]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,7,1,4,2]=>[1,3,6,4,7,2,5]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,6,7,2,1,4]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,7,2,4,1]=>[1,3,6,4,7,2,5]=>[6,2,4,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,6,7,4,1,2]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,6,7,4,2,1]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,5,7,1,2,4,6]=>[1,3,7,6,4,2,5]=>[6,2,5,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,5,7,1,2,6,4]=>[1,3,7,4,2,5,6]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,5,7,1,4,2,6]=>[1,3,7,6,2,5,4]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,5,7,1,4,6,2]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,7,1,6,2,4]=>[1,3,7,4,2,5,6]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,5,7,1,6,4,2]=>[1,3,7,2,5,6,4]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,7,2,1,4,6]=>[1,3,7,6,4,2,5]=>[6,2,5,7,4,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,5,7,2,1,6,4]=>[1,3,7,4,2,5,6]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,5,7,2,4,1,6]=>[1,3,7,6,2,5,4]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,5,7,2,4,6,1]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,7,2,6,1,4]=>[1,3,7,4,2,5,6]=>[5,2,4,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,5,7,2,6,4,1]=>[1,3,7,2,5,6,4]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,7,4,1,2,6]=>[1,3,7,6,2,5,4]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,5,7,4,1,6,2]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,7,4,2,1,6]=>[1,3,7,6,2,5,4]=>[5,2,7,6,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,5,7,4,2,6,1]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,7,4,6,1,2]=>[1,3,7,2,5,6,4]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,7,4,6,2,1]=>[1,3,7,2,5,6,4]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,7,6,1,2,4]=>[1,3,7,4,6,2,5]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,5,7,6,1,4,2]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,7,6,2,1,4]=>[1,3,7,4,6,2,5]=>[6,2,4,7,5,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,5,7,6,2,4,1]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,7,6,4,1,2]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,5,7,6,4,2,1]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,6,1,2,4,5,7]=>[1,3,2,6,5,4,7]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,2,4,7,5]=>[1,3,2,6,7,5,4]=>[3,2,7,6,4,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,2,5,4,7]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,2,5,7,4]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,2,7,4,5]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,2,7,5,4]=>[1,3,2,6,5,7,4]=>[3,2,7,5,4,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,4,2,5,7]=>[1,3,2,6,5,4,7]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,4,2,7,5]=>[1,3,2,6,7,5,4]=>[3,2,7,6,4,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,4,5,2,7]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,4,5,7,2]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,4,7,2,5]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,4,7,5,2]=>[1,3,2,6,5,7,4]=>[3,2,7,5,4,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,5,2,4,7]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,5,2,7,4]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,5,4,2,7]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,5,4,7,2]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,5,7,2,4]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,5,7,4,2]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,7,2,4,5]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,7,2,5,4]=>[1,3,2,6,5,4,7]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,7,4,2,5]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,7,4,5,2]=>[1,3,2,6,5,4,7]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,1,7,5,2,4]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,7,5,4,2]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,1,4,5,7]=>[1,3,2,6,5,4,7]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,2,1,4,7,5]=>[1,3,2,6,7,5,4]=>[3,2,7,6,4,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,2,1,5,4,7]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,1,5,7,4]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,1,7,4,5]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,1,7,5,4]=>[1,3,2,6,5,7,4]=>[3,2,7,5,4,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,2,4,1,5,7]=>[1,3,2,6,5,4,7]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,2,4,1,7,5]=>[1,3,2,6,7,5,4]=>[3,2,7,6,4,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,2,4,5,1,7]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,4,5,7,1]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,4,7,1,5]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,4,7,5,1]=>[1,3,2,6,5,7,4]=>[3,2,7,5,4,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,2,5,1,4,7]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,5,1,7,4]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,5,4,1,7]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,5,4,7,1]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,5,7,1,4]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,5,7,4,1]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,7,1,4,5]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,7,1,5,4]=>[1,3,2,6,5,4,7]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,2,7,4,1,5]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,7,4,5,1]=>[1,3,2,6,5,4,7]=>[3,2,6,5,4,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,6,2,7,5,1,4]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,7,5,4,1]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,4,1,2,5,7]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,1,2,7,5]=>[1,3,4,2,6,7,5]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,1,5,2,7]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,1,5,7,2]=>[1,3,4,2,6,7,5]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,1,7,2,5]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,1,7,5,2]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,2,1,5,7]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,2,1,7,5]=>[1,3,4,2,6,7,5]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,2,5,1,7]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,2,5,7,1]=>[1,3,4,2,6,7,5]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,2,7,1,5]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,2,7,5,1]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,6,4,5,1,2,7]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,6,4,5,1,7,2]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,6,4,5,2,1,7]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,6,4,5,2,7,1]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,6,4,5,7,1,2]=>[1,3,4,5,7,2,6]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,4,5,7,2,1]=>[1,3,4,5,7,2,6]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,4,7,1,2,5]=>[1,3,4,7,5,2,6]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,6,4,7,1,5,2]=>[1,3,4,7,2,6,5]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,6,4,7,2,1,5]=>[1,3,4,7,5,2,6]=>[6,2,3,5,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,6,4,7,2,5,1]=>[1,3,4,7,2,6,5]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,6,4,7,5,1,2]=>[1,3,4,7,2,6,5]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,6,4,7,5,2,1]=>[1,3,4,7,2,6,5]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,6,5,1,2,4,7]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,1,2,7,4]=>[1,3,5,2,6,7,4]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,1,4,2,7]=>[1,3,5,4,2,6,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,1,4,7,2]=>[1,3,5,4,2,6,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,1,7,2,4]=>[1,3,5,7,4,2,6]=>[6,2,5,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,5,1,7,4,2]=>[1,3,5,7,2,6,4]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,5,2,1,4,7]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,2,1,7,4]=>[1,3,5,2,6,7,4]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,2,4,1,7]=>[1,3,5,4,2,6,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,2,4,7,1]=>[1,3,5,4,2,6,7]=>[5,2,4,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,2,7,1,4]=>[1,3,5,7,4,2,6]=>[6,2,5,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,5,2,7,4,1]=>[1,3,5,7,2,6,4]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,5,4,1,2,7]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,4,1,7,2]=>[1,3,5,2,6,7,4]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,4,2,1,7]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,4,2,7,1]=>[1,3,5,2,6,7,4]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,4,7,1,2]=>[1,3,5,7,2,6,4]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,5,4,7,2,1]=>[1,3,5,7,2,6,4]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,5,7,1,2,4]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,7,1,4,2]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,7,2,1,4]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,7,2,4,1]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,6,5,7,4,1,2]=>[1,3,5,4,7,2,6]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,5,7,4,2,1]=>[1,3,5,4,7,2,6]=>[6,2,4,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,7,1,2,4,5]=>[1,3,7,5,2,6,4]=>[5,2,7,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,6,7,1,2,5,4]=>[1,3,7,4,2,6,5]=>[5,2,4,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,6,7,1,4,2,5]=>[1,3,7,5,4,2,6]=>[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,6,7,1,4,5,2]=>[1,3,7,2,6,5,4]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,6,7,1,5,2,4]=>[1,3,7,4,2,6,5]=>[5,2,4,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,6,7,1,5,4,2]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,6,7,2,1,4,5]=>[1,3,7,5,2,6,4]=>[5,2,7,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,6,7,2,1,5,4]=>[1,3,7,4,2,6,5]=>[5,2,4,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,6,7,2,4,1,5]=>[1,3,7,5,4,2,6]=>[6,2,5,4,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,6,7,2,4,5,1]=>[1,3,7,2,6,5,4]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,6,7,2,5,1,4]=>[1,3,7,4,2,6,5]=>[5,2,4,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,6,7,2,5,4,1]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,6,7,4,1,2,5]=>[1,3,7,5,2,6,4]=>[5,2,7,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,6,7,4,1,5,2]=>[1,3,7,2,6,5,4]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,6,7,4,2,1,5]=>[1,3,7,5,2,6,4]=>[5,2,7,4,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,6,7,4,2,5,1]=>[1,3,7,2,6,5,4]=>[4,2,7,6,5,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,6,7,4,5,1,2]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,6,7,4,5,2,1]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,6,7,5,1,2,4]=>[1,3,7,4,5,2,6]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,6,7,5,1,4,2]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,6,7,5,2,1,4]=>[1,3,7,4,5,2,6]=>[6,2,4,5,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,6,7,5,2,4,1]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,6,7,5,4,1,2]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,6,7,5,4,2,1]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,7,1,2,4,5,6]=>[1,3,2,7,6,5,4]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,7,1,2,4,6,5]=>[1,3,2,7,5,4,6]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,1,2,5,4,6]=>[1,3,2,7,6,4,5]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,7,1,2,5,6,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,1,2,6,4,5]=>[1,3,2,7,5,6,4]=>[3,2,7,5,6,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,1,2,6,5,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,1,4,2,5,6]=>[1,3,2,7,6,5,4]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,7,1,4,2,6,5]=>[1,3,2,7,5,4,6]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,1,4,5,2,6]=>[1,3,2,7,6,4,5]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,7,1,4,5,6,2]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,1,4,6,2,5]=>[1,3,2,7,5,6,4]=>[3,2,7,5,6,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,1,4,6,5,2]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,1,5,2,4,6]=>[1,3,2,7,6,4,5]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,7,1,5,2,6,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,1,5,4,2,6]=>[1,3,2,7,6,4,5]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,7,1,5,4,6,2]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,1,5,6,2,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,1,5,6,4,2]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,1,6,2,4,5]=>[1,3,2,7,5,4,6]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,1,6,2,5,4]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,7,1,6,4,2,5]=>[1,3,2,7,5,4,6]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,1,6,4,5,2]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,7,1,6,5,2,4]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,7,1,6,5,4,2]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,7,2,1,4,5,6]=>[1,3,2,7,6,5,4]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,7,2,1,4,6,5]=>[1,3,2,7,5,4,6]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,2,1,5,4,6]=>[1,3,2,7,6,4,5]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,7,2,1,5,6,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,2,1,6,4,5]=>[1,3,2,7,5,6,4]=>[3,2,7,5,6,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,2,1,6,5,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,2,4,1,5,6]=>[1,3,2,7,6,5,4]=>[3,2,7,6,5,4,1]=>[[[.,.],[[[[.,.],.],.],.]],.]
[3,7,2,4,1,6,5]=>[1,3,2,7,5,4,6]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,2,4,5,1,6]=>[1,3,2,7,6,4,5]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,7,2,4,5,6,1]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,2,4,6,1,5]=>[1,3,2,7,5,6,4]=>[3,2,7,5,6,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,2,4,6,5,1]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,2,5,1,4,6]=>[1,3,2,7,6,4,5]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,7,2,5,1,6,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,2,5,4,1,6]=>[1,3,2,7,6,4,5]=>[3,2,6,7,5,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[3,7,2,5,4,6,1]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,2,5,6,1,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,2,5,6,4,1]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[3,7,2,6,1,4,5]=>[1,3,2,7,5,4,6]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,2,6,1,5,4]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,7,2,6,4,1,5]=>[1,3,2,7,5,4,6]=>[3,2,6,5,7,4,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[3,7,2,6,4,5,1]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,7,2,6,5,1,4]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,7,2,6,5,4,1]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[3,7,4,1,2,5,6]=>[1,3,4,2,7,6,5]=>[4,2,3,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,7,4,1,2,6,5]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,7,4,1,5,2,6]=>[1,3,4,2,7,6,5]=>[4,2,3,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,7,4,1,5,6,2]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,7,4,1,6,2,5]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,7,4,1,6,5,2]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,7,4,2,1,5,6]=>[1,3,4,2,7,6,5]=>[4,2,3,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,7,4,2,1,6,5]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,7,4,2,5,1,6]=>[1,3,4,2,7,6,5]=>[4,2,3,7,6,5,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[3,7,4,2,5,6,1]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,7,4,2,6,1,5]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,7,4,2,6,5,1]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[3,7,4,5,1,2,6]=>[1,3,4,5,2,7,6]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,7,4,5,1,6,2]=>[1,3,4,5,2,7,6]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,7,4,5,2,1,6]=>[1,3,4,5,2,7,6]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,7,4,5,2,6,1]=>[1,3,4,5,2,7,6]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,7,4,5,6,1,2]=>[1,3,4,5,6,2,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,7,4,5,6,2,1]=>[1,3,4,5,6,2,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[3,7,4,6,1,2,5]=>[1,3,4,6,2,7,5]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,7,4,6,1,5,2]=>[1,3,4,6,5,2,7]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,7,4,6,2,1,5]=>[1,3,4,6,2,7,5]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,7,4,6,2,5,1]=>[1,3,4,6,5,2,7]=>[6,2,3,5,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,7,4,6,5,1,2]=>[1,3,4,6,2,7,5]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,7,4,6,5,2,1]=>[1,3,4,6,2,7,5]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[3,7,5,1,2,4,6]=>[1,3,5,2,7,6,4]=>[4,2,7,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,1,2,6,4]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,1,4,2,6]=>[1,3,5,4,2,7,6]=>[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,1,4,6,2]=>[1,3,5,4,2,7,6]=>[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,1,6,2,4]=>[1,3,5,6,2,7,4]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,7,5,1,6,4,2]=>[1,3,5,6,4,2,7]=>[6,2,5,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,7,5,2,1,4,6]=>[1,3,5,2,7,6,4]=>[4,2,7,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,2,1,6,4]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,2,4,1,6]=>[1,3,5,4,2,7,6]=>[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,2,4,6,1]=>[1,3,5,4,2,7,6]=>[5,2,4,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,2,6,1,4]=>[1,3,5,6,2,7,4]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,7,5,2,6,4,1]=>[1,3,5,6,4,2,7]=>[6,2,5,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,7,5,4,1,2,6]=>[1,3,5,2,7,6,4]=>[4,2,7,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,4,1,6,2]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,4,2,1,6]=>[1,3,5,2,7,6,4]=>[4,2,7,3,6,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,4,2,6,1]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,4,6,1,2]=>[1,3,5,6,2,7,4]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,7,5,4,6,2,1]=>[1,3,5,6,2,7,4]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,7,5,6,1,2,4]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,6,1,4,2]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,6,2,1,4]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,6,2,4,1]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,7,5,6,4,1,2]=>[1,3,5,4,6,2,7]=>[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,7,5,6,4,2,1]=>[1,3,5,4,6,2,7]=>[6,2,4,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[3,7,6,1,2,4,5]=>[1,3,6,4,2,7,5]=>[5,2,4,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,1,2,5,4]=>[1,3,6,5,2,7,4]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,6,1,4,2,5]=>[1,3,6,2,7,5,4]=>[4,2,7,6,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,6,1,4,5,2]=>[1,3,6,5,4,2,7]=>[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,6,1,5,2,4]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,1,5,4,2]=>[1,3,6,4,2,7,5]=>[5,2,4,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,2,1,4,5]=>[1,3,6,4,2,7,5]=>[5,2,4,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,2,1,5,4]=>[1,3,6,5,2,7,4]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,6,2,4,1,5]=>[1,3,6,2,7,5,4]=>[4,2,7,6,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,6,2,4,5,1]=>[1,3,6,5,4,2,7]=>[6,2,5,4,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,6,2,5,1,4]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,2,5,4,1]=>[1,3,6,4,2,7,5]=>[5,2,4,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,4,1,2,5]=>[1,3,6,2,7,5,4]=>[4,2,7,6,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,6,4,1,5,2]=>[1,3,6,5,2,7,4]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,6,4,2,1,5]=>[1,3,6,2,7,5,4]=>[4,2,7,6,3,5,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,6,4,2,5,1]=>[1,3,6,5,2,7,4]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[3,7,6,4,5,1,2]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,4,5,2,1]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,5,1,2,4]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,5,1,4,2]=>[1,3,6,4,5,2,7]=>[6,2,4,5,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,5,2,1,4]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,5,2,4,1]=>[1,3,6,4,5,2,7]=>[6,2,4,5,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,5,4,1,2]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,7,6,5,4,2,1]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,1,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,2,3,5,7,6]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,2,3,6,5,7]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,2,3,6,7,5]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,2,3,7,5,6]=>[1,4,3,2,5,7,6]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,1,2,3,7,6,5]=>[1,4,3,2,5,7,6]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,1,2,5,3,6,7]=>[1,4,5,3,2,6,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,2,5,3,7,6]=>[1,4,5,3,2,6,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,2,5,6,3,7]=>[1,4,5,6,3,2,7]=>[6,5,2,3,4,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,2,5,6,7,3]=>[1,4,5,6,7,3,2]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,2,5,7,3,6]=>[1,4,5,7,6,3,2]=>[7,6,2,3,5,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,1,2,5,7,6,3]=>[1,4,5,7,3,2,6]=>[6,5,2,3,7,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,1,2,6,3,5,7]=>[1,4,6,5,3,2,7]=>[6,5,2,4,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,2,6,3,7,5]=>[1,4,6,7,5,3,2]=>[7,6,2,5,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,2,6,5,3,7]=>[1,4,6,3,2,5,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,2,6,5,7,3]=>[1,4,6,7,3,2,5]=>[6,5,2,7,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,2,6,7,3,5]=>[1,4,6,3,2,5,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,2,6,7,5,3]=>[1,4,6,5,7,3,2]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,2,7,3,5,6]=>[1,4,7,6,5,3,2]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,2,7,3,6,5]=>[1,4,7,5,3,2,6]=>[6,5,2,4,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,1,2,7,5,3,6]=>[1,4,7,6,3,2,5]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,2,7,5,6,3]=>[1,4,7,3,2,5,6]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,1,2,7,6,3,5]=>[1,4,7,5,6,3,2]=>[7,6,2,4,5,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,1,2,7,6,5,3]=>[1,4,7,3,2,5,6]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,1,3,2,5,6,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,3,2,5,7,6]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,3,2,6,5,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,3,2,6,7,5]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,3,2,7,5,6]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,3,2,7,6,5]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,3,5,2,6,7]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,3,5,2,7,6]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,3,5,6,2,7]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,3,5,6,7,2]=>[1,4,5,6,7,2,3]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,3,5,7,2,6]=>[1,4,5,7,6,2,3]=>[6,7,2,3,5,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,3,5,7,6,2]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,3,6,2,5,7]=>[1,4,6,5,2,3,7]=>[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,3,6,2,7,5]=>[1,4,6,7,5,2,3]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,3,6,5,2,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,3,6,5,7,2]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,3,6,7,2,5]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,3,6,7,5,2]=>[1,4,6,5,7,2,3]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,3,7,2,5,6]=>[1,4,7,6,5,2,3]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,1,3,7,2,6,5]=>[1,4,7,5,2,3,6]=>[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,3,7,5,2,6]=>[1,4,7,6,2,3,5]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,1,3,7,5,6,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,3,7,6,2,5]=>[1,4,7,5,6,2,3]=>[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,3,7,6,5,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,5,2,3,6,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,5,2,3,7,6]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,5,2,6,3,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,5,2,6,7,3]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,5,2,7,3,6]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,5,2,7,6,3]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,5,3,2,6,7]=>[1,4,3,5,2,6,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,5,3,2,7,6]=>[1,4,3,5,2,6,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,5,3,6,2,7]=>[1,4,3,5,6,2,7]=>[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,5,3,6,7,2]=>[1,4,3,5,6,7,2]=>[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,5,3,7,2,6]=>[1,4,3,5,7,6,2]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,1,5,3,7,6,2]=>[1,4,3,5,7,2,6]=>[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,1,5,6,2,3,7]=>[1,4,6,3,5,2,7]=>[6,4,2,5,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,5,6,2,7,3]=>[1,4,6,7,3,5,2]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,5,6,3,2,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,5,6,3,7,2]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,5,6,7,2,3]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,5,6,7,3,2]=>[1,4,6,3,5,7,2]=>[7,4,2,5,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,5,7,2,3,6]=>[1,4,7,6,3,5,2]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,5,7,2,6,3]=>[1,4,7,3,5,2,6]=>[6,4,2,5,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,1,5,7,3,2,6]=>[1,4,7,6,2,3,5]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,1,5,7,3,6,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,5,7,6,2,3]=>[1,4,7,3,5,6,2]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,1,5,7,6,3,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,6,2,3,5,7]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,6,2,3,7,5]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,6,2,5,3,7]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,6,2,5,7,3]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,6,2,7,3,5]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,6,2,7,5,3]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,6,3,2,5,7]=>[1,4,3,6,5,2,7]=>[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,6,3,2,7,5]=>[1,4,3,6,7,5,2]=>[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,6,3,5,2,7]=>[1,4,3,6,2,5,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,6,3,5,7,2]=>[1,4,3,6,7,2,5]=>[6,3,2,7,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,6,3,7,2,5]=>[1,4,3,6,2,5,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,6,3,7,5,2]=>[1,4,3,6,5,7,2]=>[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,6,5,2,3,7]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,6,5,2,7,3]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,6,5,3,2,7]=>[1,4,5,3,6,2,7]=>[6,4,2,3,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,6,5,3,7,2]=>[1,4,5,3,6,7,2]=>[7,4,2,3,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,6,5,7,2,3]=>[1,4,5,7,3,6,2]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,1,6,5,7,3,2]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,6,7,2,3,5]=>[1,4,7,5,2,3,6]=>[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,6,7,2,5,3]=>[1,4,7,3,6,5,2]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,6,7,3,2,5]=>[1,4,7,5,3,6,2]=>[7,5,2,4,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,1,6,7,3,5,2]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,1,6,7,5,2,3]=>[1,4,7,3,6,2,5]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,6,7,5,3,2]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,1,7,2,3,5,6]=>[1,4,2,3,7,6,5]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,1,7,2,3,6,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,7,2,5,3,6]=>[1,4,2,3,7,6,5]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,1,7,2,5,6,3]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,7,2,6,3,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,7,2,6,5,3]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,1,7,3,2,5,6]=>[1,4,3,7,6,5,2]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,7,3,2,6,5]=>[1,4,3,7,5,2,6]=>[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,1,7,3,5,2,6]=>[1,4,3,7,6,2,5]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,1,7,3,5,6,2]=>[1,4,3,7,2,5,6]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,1,7,3,6,2,5]=>[1,4,3,7,5,6,2]=>[7,3,2,5,6,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,1,7,3,6,5,2]=>[1,4,3,7,2,5,6]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,1,7,5,2,3,6]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,7,5,2,6,3]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,7,5,3,2,6]=>[1,4,5,3,7,6,2]=>[7,4,2,3,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,1,7,5,3,6,2]=>[1,4,5,3,7,2,6]=>[6,4,2,3,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,1,7,5,6,2,3]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,1,7,5,6,3,2]=>[1,4,5,6,3,7,2]=>[7,5,2,3,4,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,1,7,6,2,3,5]=>[1,4,6,3,7,5,2]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,7,6,2,5,3]=>[1,4,6,5,2,3,7]=>[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,7,6,3,2,5]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,7,6,3,5,2]=>[1,4,6,5,3,7,2]=>[7,5,2,4,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,1,7,6,5,2,3]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,1,7,6,5,3,2]=>[1,4,6,3,7,2,5]=>[6,4,2,7,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,1,3,5,6,7]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,1,3,5,7,6]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,1,3,6,5,7]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,1,3,6,7,5]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,1,3,7,5,6]=>[1,4,3,2,5,7,6]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,2,1,3,7,6,5]=>[1,4,3,2,5,7,6]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,2,1,5,3,6,7]=>[1,4,5,3,2,6,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,1,5,3,7,6]=>[1,4,5,3,2,6,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,1,5,6,3,7]=>[1,4,5,6,3,2,7]=>[6,5,2,3,4,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,1,5,6,7,3]=>[1,4,5,6,7,3,2]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,1,5,7,3,6]=>[1,4,5,7,6,3,2]=>[7,6,2,3,5,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,2,1,5,7,6,3]=>[1,4,5,7,3,2,6]=>[6,5,2,3,7,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,2,1,6,3,5,7]=>[1,4,6,5,3,2,7]=>[6,5,2,4,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,1,6,3,7,5]=>[1,4,6,7,5,3,2]=>[7,6,2,5,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,1,6,5,3,7]=>[1,4,6,3,2,5,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,1,6,5,7,3]=>[1,4,6,7,3,2,5]=>[6,5,2,7,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,1,6,7,3,5]=>[1,4,6,3,2,5,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,1,6,7,5,3]=>[1,4,6,5,7,3,2]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,1,7,3,5,6]=>[1,4,7,6,5,3,2]=>[7,6,2,5,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,1,7,3,6,5]=>[1,4,7,5,3,2,6]=>[6,5,2,4,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,2,1,7,5,3,6]=>[1,4,7,6,3,2,5]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,1,7,5,6,3]=>[1,4,7,3,2,5,6]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,2,1,7,6,3,5]=>[1,4,7,5,6,3,2]=>[7,6,2,4,5,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,2,1,7,6,5,3]=>[1,4,7,3,2,5,6]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,2,3,1,5,6,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,3,1,5,7,6]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,3,1,6,5,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,3,1,6,7,5]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,3,1,7,5,6]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,2,3,1,7,6,5]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,2,3,5,1,6,7]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,3,5,1,7,6]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,3,5,6,1,7]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,3,5,6,7,1]=>[1,4,5,6,7,2,3]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,3,5,7,1,6]=>[1,4,5,7,6,2,3]=>[6,7,2,3,5,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,2,3,5,7,6,1]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,2,3,6,1,5,7]=>[1,4,6,5,2,3,7]=>[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,3,6,1,7,5]=>[1,4,6,7,5,2,3]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,3,6,5,1,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,3,6,5,7,1]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,3,6,7,1,5]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,3,6,7,5,1]=>[1,4,6,5,7,2,3]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,3,7,1,5,6]=>[1,4,7,6,5,2,3]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,2,3,7,1,6,5]=>[1,4,7,5,2,3,6]=>[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,3,7,5,1,6]=>[1,4,7,6,2,3,5]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,2,3,7,5,6,1]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,3,7,6,1,5]=>[1,4,7,5,6,2,3]=>[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,3,7,6,5,1]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,5,1,3,6,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,5,1,3,7,6]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,5,1,6,3,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,5,1,6,7,3]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,5,1,7,3,6]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,2,5,1,7,6,3]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,2,5,3,1,6,7]=>[1,4,3,5,2,6,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,5,3,1,7,6]=>[1,4,3,5,2,6,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,5,3,6,1,7]=>[1,4,3,5,6,2,7]=>[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,5,3,6,7,1]=>[1,4,3,5,6,7,2]=>[7,3,2,4,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,5,3,7,1,6]=>[1,4,3,5,7,6,2]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,2,5,3,7,6,1]=>[1,4,3,5,7,2,6]=>[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,2,5,6,1,3,7]=>[1,4,6,3,5,2,7]=>[6,4,2,5,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,5,6,1,7,3]=>[1,4,6,7,3,5,2]=>[7,5,2,6,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,5,6,3,1,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,5,6,3,7,1]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,5,6,7,1,3]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,5,6,7,3,1]=>[1,4,6,3,5,7,2]=>[7,4,2,5,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,5,7,1,3,6]=>[1,4,7,6,3,5,2]=>[7,5,2,6,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,5,7,1,6,3]=>[1,4,7,3,5,2,6]=>[6,4,2,5,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,2,5,7,3,1,6]=>[1,4,7,6,2,3,5]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,2,5,7,3,6,1]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,5,7,6,1,3]=>[1,4,7,3,5,6,2]=>[7,4,2,5,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,2,5,7,6,3,1]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,6,1,3,5,7]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,6,1,3,7,5]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,6,1,5,3,7]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,6,1,5,7,3]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,6,1,7,3,5]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,6,1,7,5,3]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,6,3,1,5,7]=>[1,4,3,6,5,2,7]=>[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,6,3,1,7,5]=>[1,4,3,6,7,5,2]=>[7,3,2,6,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,6,3,5,1,7]=>[1,4,3,6,2,5,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,6,3,5,7,1]=>[1,4,3,6,7,2,5]=>[6,3,2,7,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,6,3,7,1,5]=>[1,4,3,6,2,5,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,6,3,7,5,1]=>[1,4,3,6,5,7,2]=>[7,3,2,5,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,6,5,1,3,7]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,6,5,1,7,3]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,6,5,3,1,7]=>[1,4,5,3,6,2,7]=>[6,4,2,3,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,6,5,3,7,1]=>[1,4,5,3,6,7,2]=>[7,4,2,3,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,6,5,7,1,3]=>[1,4,5,7,3,6,2]=>[7,5,2,3,6,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,2,6,5,7,3,1]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,2,6,7,1,3,5]=>[1,4,7,5,2,3,6]=>[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,6,7,1,5,3]=>[1,4,7,3,6,5,2]=>[7,4,2,6,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,6,7,3,1,5]=>[1,4,7,5,3,6,2]=>[7,5,2,4,6,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,2,6,7,3,5,1]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,2,6,7,5,1,3]=>[1,4,7,3,6,2,5]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,6,7,5,3,1]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,2,7,1,3,5,6]=>[1,4,2,3,7,6,5]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,2,7,1,3,6,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,7,1,5,3,6]=>[1,4,2,3,7,6,5]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,2,7,1,5,6,3]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,7,1,6,3,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,7,1,6,5,3]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,7,3,1,5,6]=>[1,4,3,7,6,5,2]=>[7,3,2,6,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,7,3,1,6,5]=>[1,4,3,7,5,2,6]=>[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,2,7,3,5,1,6]=>[1,4,3,7,6,2,5]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,2,7,3,5,6,1]=>[1,4,3,7,2,5,6]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,2,7,3,6,1,5]=>[1,4,3,7,5,6,2]=>[7,3,2,5,6,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,2,7,3,6,5,1]=>[1,4,3,7,2,5,6]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,2,7,5,1,3,6]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,2,7,5,1,6,3]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,2,7,5,3,1,6]=>[1,4,5,3,7,6,2]=>[7,4,2,3,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,2,7,5,3,6,1]=>[1,4,5,3,7,2,6]=>[6,4,2,3,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,2,7,5,6,1,3]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,2,7,5,6,3,1]=>[1,4,5,6,3,7,2]=>[7,5,2,3,4,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,2,7,6,1,3,5]=>[1,4,6,3,7,5,2]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,7,6,1,5,3]=>[1,4,6,5,2,3,7]=>[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,7,6,3,1,5]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,7,6,3,5,1]=>[1,4,6,5,3,7,2]=>[7,5,2,4,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,2,7,6,5,1,3]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,2,7,6,5,3,1]=>[1,4,6,3,7,2,5]=>[6,4,2,7,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,3,1,2,5,6,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,1,2,5,7,6]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,1,2,6,5,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,1,2,6,7,5]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,1,2,7,5,6]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,1,2,7,6,5]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,1,5,2,6,7]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,1,5,2,7,6]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,1,5,6,2,7]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,1,5,6,7,2]=>[1,4,5,6,7,2,3]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,1,5,7,2,6]=>[1,4,5,7,6,2,3]=>[6,7,2,3,5,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,1,5,7,6,2]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,1,6,2,5,7]=>[1,4,6,5,2,3,7]=>[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,1,6,2,7,5]=>[1,4,6,7,5,2,3]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,1,6,5,2,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,1,6,5,7,2]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,1,6,7,2,5]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,1,6,7,5,2]=>[1,4,6,5,7,2,3]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,1,7,2,5,6]=>[1,4,7,6,5,2,3]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,1,7,2,6,5]=>[1,4,7,5,2,3,6]=>[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,1,7,5,2,6]=>[1,4,7,6,2,3,5]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,1,7,5,6,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,1,7,6,2,5]=>[1,4,7,5,6,2,3]=>[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,1,7,6,5,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,2,1,5,6,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,2,1,5,7,6]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,2,1,6,5,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,2,1,6,7,5]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,2,1,7,5,6]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,2,1,7,6,5]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,2,5,1,6,7]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,2,5,1,7,6]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,2,5,6,1,7]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,2,5,6,7,1]=>[1,4,5,6,7,2,3]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,2,5,7,1,6]=>[1,4,5,7,6,2,3]=>[6,7,2,3,5,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,2,5,7,6,1]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,2,6,1,5,7]=>[1,4,6,5,2,3,7]=>[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,2,6,1,7,5]=>[1,4,6,7,5,2,3]=>[6,7,2,5,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,2,6,5,1,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,2,6,5,7,1]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,2,6,7,1,5]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,2,6,7,5,1]=>[1,4,6,5,7,2,3]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,2,7,1,5,6]=>[1,4,7,6,5,2,3]=>[6,7,2,5,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,2,7,1,6,5]=>[1,4,7,5,2,3,6]=>[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,2,7,5,1,6]=>[1,4,7,6,2,3,5]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,2,7,5,6,1]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,2,7,6,1,5]=>[1,4,7,5,6,2,3]=>[6,7,2,4,5,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,2,7,6,5,1]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,5,1,2,6,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,1,2,7,6]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,1,6,2,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,1,6,7,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,1,7,2,6]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,5,1,7,6,2]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,5,2,1,6,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,2,1,7,6]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,2,6,1,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,2,6,7,1]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,5,2,7,1,6]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,5,2,7,6,1]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,5,6,1,2,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,5,6,1,7,2]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,5,6,2,1,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,5,6,2,7,1]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,5,6,7,1,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,5,6,7,2,1]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,5,7,1,2,6]=>[1,4,7,6,2,3,5]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,5,7,1,6,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,5,7,2,1,6]=>[1,4,7,6,2,3,5]=>[5,6,2,7,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,5,7,2,6,1]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,5,7,6,1,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,5,7,6,2,1]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,6,1,2,5,7]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,1,2,7,5]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,1,5,2,7]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,1,5,7,2]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,1,7,2,5]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,1,7,5,2]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,2,1,5,7]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,2,1,7,5]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,2,5,1,7]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,2,5,7,1]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,2,7,1,5]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,2,7,5,1]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,6,5,1,2,7]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,6,5,1,7,2]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,6,5,2,1,7]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,6,5,2,7,1]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,6,5,7,1,2]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,6,5,7,2,1]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,6,7,1,2,5]=>[1,4,7,5,2,3,6]=>[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,6,7,1,5,2]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,6,7,2,1,5]=>[1,4,7,5,2,3,6]=>[5,6,2,4,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,6,7,2,5,1]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,6,7,5,1,2]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,6,7,5,2,1]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,7,1,2,5,6]=>[1,4,2,3,7,6,5]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,7,1,2,6,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,7,1,5,2,6]=>[1,4,2,3,7,6,5]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,7,1,5,6,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,7,1,6,2,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,7,1,6,5,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,7,2,1,5,6]=>[1,4,2,3,7,6,5]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,7,2,1,6,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,7,2,5,1,6]=>[1,4,2,3,7,6,5]=>[3,4,2,7,6,5,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,3,7,2,5,6,1]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,7,2,6,1,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,7,2,6,5,1]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,7,5,1,2,6]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,7,5,1,6,2]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,7,5,2,1,6]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,7,5,2,6,1]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,3,7,5,6,1,2]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,7,5,6,2,1]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,3,7,6,1,2,5]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,7,6,1,5,2]=>[1,4,6,5,2,3,7]=>[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,7,6,2,1,5]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,7,6,2,5,1]=>[1,4,6,5,2,3,7]=>[5,6,2,4,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,7,6,5,1,2]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,3,7,6,5,2,1]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,1,2,3,6,7]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,1,2,3,7,6]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,1,2,6,3,7]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,1,2,6,7,3]=>[1,4,2,5,6,7,3]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,1,2,7,3,6]=>[1,4,2,5,7,6,3]=>[3,7,2,4,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,1,2,7,6,3]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,1,3,2,6,7]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,5,1,3,2,7,6]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,5,1,3,6,2,7]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,5,1,3,6,7,2]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,5,1,3,7,2,6]=>[1,4,3,2,5,7,6]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,5,1,3,7,6,2]=>[1,4,3,2,5,7,6]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,5,1,6,2,3,7]=>[1,4,6,3,2,5,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,1,6,2,7,3]=>[1,4,6,7,3,2,5]=>[6,5,2,7,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,1,6,3,2,7]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,1,6,3,7,2]=>[1,4,6,7,2,5,3]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,1,6,7,2,3]=>[1,4,6,2,5,7,3]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,1,6,7,3,2]=>[1,4,6,3,2,5,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,1,7,2,3,6]=>[1,4,7,6,3,2,5]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,1,7,2,6,3]=>[1,4,7,3,2,5,6]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,5,1,7,3,2,6]=>[1,4,7,6,2,5,3]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,1,7,3,6,2]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,1,7,6,2,3]=>[1,4,7,3,2,5,6]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,5,1,7,6,3,2]=>[1,4,7,2,5,6,3]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,2,1,3,6,7]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,2,1,3,7,6]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,2,1,6,3,7]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,2,1,6,7,3]=>[1,4,2,5,6,7,3]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,2,1,7,3,6]=>[1,4,2,5,7,6,3]=>[3,7,2,4,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,2,1,7,6,3]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,2,3,1,6,7]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,5,2,3,1,7,6]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,5,2,3,6,1,7]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,5,2,3,6,7,1]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,5,2,3,7,1,6]=>[1,4,3,2,5,7,6]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,5,2,3,7,6,1]=>[1,4,3,2,5,7,6]=>[4,3,2,5,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,5,2,6,1,3,7]=>[1,4,6,3,2,5,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,2,6,1,7,3]=>[1,4,6,7,3,2,5]=>[6,5,2,7,3,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,2,6,3,1,7]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,2,6,3,7,1]=>[1,4,6,7,2,5,3]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,2,6,7,1,3]=>[1,4,6,2,5,7,3]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,2,6,7,3,1]=>[1,4,6,3,2,5,7]=>[5,4,2,6,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,2,7,1,3,6]=>[1,4,7,6,3,2,5]=>[6,5,2,7,4,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,2,7,1,6,3]=>[1,4,7,3,2,5,6]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,5,2,7,3,1,6]=>[1,4,7,6,2,5,3]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,2,7,3,6,1]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,2,7,6,1,3]=>[1,4,7,3,2,5,6]=>[5,4,2,6,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,5,2,7,6,3,1]=>[1,4,7,2,5,6,3]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,3,1,2,6,7]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,3,1,2,7,6]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,3,1,6,2,7]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,3,1,6,7,2]=>[1,4,2,5,6,7,3]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,3,1,7,2,6]=>[1,4,2,5,7,6,3]=>[3,7,2,4,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,3,1,7,6,2]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,3,2,1,6,7]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,3,2,1,7,6]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,3,2,6,1,7]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,3,2,6,7,1]=>[1,4,2,5,6,7,3]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,3,2,7,1,6]=>[1,4,2,5,7,6,3]=>[3,7,2,4,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,3,2,7,6,1]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,3,6,1,2,7]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,3,6,1,7,2]=>[1,4,6,7,2,5,3]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,3,6,2,1,7]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,3,6,2,7,1]=>[1,4,6,7,2,5,3]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,3,6,7,1,2]=>[1,4,6,2,5,7,3]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,3,6,7,2,1]=>[1,4,6,2,5,7,3]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,3,7,1,2,6]=>[1,4,7,6,2,5,3]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,3,7,1,6,2]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,3,7,2,1,6]=>[1,4,7,6,2,5,3]=>[5,7,2,6,4,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,5,3,7,2,6,1]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,3,7,6,1,2]=>[1,4,7,2,5,6,3]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,3,7,6,2,1]=>[1,4,7,2,5,6,3]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,6,1,2,3,7]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,1,2,7,3]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,1,3,2,7]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,1,3,7,2]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,1,7,2,3]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,6,1,7,3,2]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,6,2,1,3,7]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,2,1,7,3]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,2,3,1,7]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,2,3,7,1]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,2,7,1,3]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,6,2,7,3,1]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,6,3,1,2,7]=>[1,4,3,6,2,5,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,6,3,1,7,2]=>[1,4,3,6,7,2,5]=>[6,3,2,7,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,6,3,2,1,7]=>[1,4,3,6,2,5,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,6,3,2,7,1]=>[1,4,3,6,7,2,5]=>[6,3,2,7,4,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,6,3,7,1,2]=>[1,4,3,6,2,5,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,6,3,7,2,1]=>[1,4,3,6,2,5,7]=>[5,3,2,6,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,6,7,1,2,3]=>[1,4,7,3,6,2,5]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,6,7,1,3,2]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,6,7,2,1,3]=>[1,4,7,3,6,2,5]=>[6,4,2,7,5,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,6,7,2,3,1]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,6,7,3,1,2]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,6,7,3,2,1]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,5,7,1,2,3,6]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,7,1,2,6,3]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,7,1,3,2,6]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,7,1,3,6,2]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,7,1,6,2,3]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,7,1,6,3,2]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,7,2,1,3,6]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,7,2,1,6,3]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,7,2,3,1,6]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,7,2,3,6,1]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,5,7,2,6,1,3]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,7,2,6,3,1]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,5,7,3,1,2,6]=>[1,4,3,7,6,2,5]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,7,3,1,6,2]=>[1,4,3,7,2,5,6]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,5,7,3,2,1,6]=>[1,4,3,7,6,2,5]=>[6,3,2,7,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,5,7,3,2,6,1]=>[1,4,3,7,2,5,6]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,5,7,3,6,1,2]=>[1,4,3,7,2,5,6]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,5,7,3,6,2,1]=>[1,4,3,7,2,5,6]=>[5,3,2,6,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,5,7,6,1,2,3]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,7,6,1,3,2]=>[1,4,6,3,7,2,5]=>[6,4,2,7,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,7,6,2,1,3]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,7,6,2,3,1]=>[1,4,6,3,7,2,5]=>[6,4,2,7,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,5,7,6,3,1,2]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,5,7,6,3,2,1]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,1,2,3,5,7]=>[1,4,2,6,5,3,7]=>[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,1,2,3,7,5]=>[1,4,2,6,7,5,3]=>[3,7,2,6,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,1,2,5,3,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,1,2,5,7,3]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,1,2,7,3,5]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,1,2,7,5,3]=>[1,4,2,6,5,7,3]=>[3,7,2,5,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,1,3,2,5,7]=>[1,4,3,2,6,5,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,1,3,2,7,5]=>[1,4,3,2,6,7,5]=>[4,3,2,7,5,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,1,3,5,2,7]=>[1,4,3,2,6,5,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,1,3,5,7,2]=>[1,4,3,2,6,7,5]=>[4,3,2,7,5,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,1,3,7,2,5]=>[1,4,3,2,6,5,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,1,3,7,5,2]=>[1,4,3,2,6,5,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,1,5,2,3,7]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,1,5,2,7,3]=>[1,4,5,2,6,7,3]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,1,5,3,2,7]=>[1,4,5,3,2,6,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,6,1,5,3,7,2]=>[1,4,5,3,2,6,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,6,1,5,7,2,3]=>[1,4,5,7,3,2,6]=>[6,5,2,3,7,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,6,1,5,7,3,2]=>[1,4,5,7,2,6,3]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,6,1,7,2,3,5]=>[1,4,7,5,2,6,3]=>[5,7,2,4,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,6,1,7,2,5,3]=>[1,4,7,3,2,6,5]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,6,1,7,3,2,5]=>[1,4,7,5,3,2,6]=>[6,5,2,4,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,6,1,7,3,5,2]=>[1,4,7,2,6,5,3]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,1,7,5,2,3]=>[1,4,7,3,2,6,5]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,6,1,7,5,3,2]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,2,1,3,5,7]=>[1,4,2,6,5,3,7]=>[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,2,1,3,7,5]=>[1,4,2,6,7,5,3]=>[3,7,2,6,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,2,1,5,3,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,2,1,5,7,3]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,2,1,7,3,5]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,2,1,7,5,3]=>[1,4,2,6,5,7,3]=>[3,7,2,5,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,2,3,1,5,7]=>[1,4,3,2,6,5,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,2,3,1,7,5]=>[1,4,3,2,6,7,5]=>[4,3,2,7,5,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,2,3,5,1,7]=>[1,4,3,2,6,5,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,2,3,5,7,1]=>[1,4,3,2,6,7,5]=>[4,3,2,7,5,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,2,3,7,1,5]=>[1,4,3,2,6,5,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,2,3,7,5,1]=>[1,4,3,2,6,5,7]=>[4,3,2,6,5,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,6,2,5,1,3,7]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,2,5,1,7,3]=>[1,4,5,2,6,7,3]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,2,5,3,1,7]=>[1,4,5,3,2,6,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,6,2,5,3,7,1]=>[1,4,5,3,2,6,7]=>[5,4,2,3,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,6,2,5,7,1,3]=>[1,4,5,7,3,2,6]=>[6,5,2,3,7,4,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,6,2,5,7,3,1]=>[1,4,5,7,2,6,3]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,6,2,7,1,3,5]=>[1,4,7,5,2,6,3]=>[5,7,2,4,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,6,2,7,1,5,3]=>[1,4,7,3,2,6,5]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,6,2,7,3,1,5]=>[1,4,7,5,3,2,6]=>[6,5,2,4,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,6,2,7,3,5,1]=>[1,4,7,2,6,5,3]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,2,7,5,1,3]=>[1,4,7,3,2,6,5]=>[5,4,2,7,6,3,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,6,2,7,5,3,1]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,3,1,2,5,7]=>[1,4,2,6,5,3,7]=>[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,1,2,7,5]=>[1,4,2,6,7,5,3]=>[3,7,2,6,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,1,5,2,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,1,5,7,2]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,1,7,2,5]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,1,7,5,2]=>[1,4,2,6,5,7,3]=>[3,7,2,5,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,2,1,5,7]=>[1,4,2,6,5,3,7]=>[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,2,1,7,5]=>[1,4,2,6,7,5,3]=>[3,7,2,6,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,2,5,1,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,2,5,7,1]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,2,7,1,5]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,2,7,5,1]=>[1,4,2,6,5,7,3]=>[3,7,2,5,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,3,5,1,2,7]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,3,5,1,7,2]=>[1,4,5,2,6,7,3]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,3,5,2,1,7]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,3,5,2,7,1]=>[1,4,5,2,6,7,3]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,3,5,7,1,2]=>[1,4,5,7,2,6,3]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,6,3,5,7,2,1]=>[1,4,5,7,2,6,3]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,6,3,7,1,2,5]=>[1,4,7,5,2,6,3]=>[5,7,2,4,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,6,3,7,1,5,2]=>[1,4,7,2,6,5,3]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,3,7,2,1,5]=>[1,4,7,5,2,6,3]=>[5,7,2,4,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,6,3,7,2,5,1]=>[1,4,7,2,6,5,3]=>[4,7,2,6,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,3,7,5,1,2]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,3,7,5,2,1]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,5,1,2,3,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,1,2,7,3]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,1,3,2,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,1,3,7,2]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,1,7,2,3]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,1,7,3,2]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,2,1,3,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,2,1,7,3]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,2,3,1,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,2,3,7,1]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,2,7,1,3]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,2,7,3,1]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,5,3,1,2,7]=>[1,4,3,5,2,6,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,6,5,3,1,7,2]=>[1,4,3,5,2,6,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,6,5,3,2,1,7]=>[1,4,3,5,2,6,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,6,5,3,2,7,1]=>[1,4,3,5,2,6,7]=>[5,3,2,4,6,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,6,5,3,7,1,2]=>[1,4,3,5,7,2,6]=>[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,6,5,3,7,2,1]=>[1,4,3,5,7,2,6]=>[6,3,2,4,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,6,5,7,1,2,3]=>[1,4,7,3,5,2,6]=>[6,4,2,5,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,6,5,7,1,3,2]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,5,7,2,1,3]=>[1,4,7,3,5,2,6]=>[6,4,2,5,7,3,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,6,5,7,2,3,1]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,5,7,3,1,2]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,5,7,3,2,1]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,6,7,1,2,3,5]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,1,2,5,3]=>[1,4,2,6,5,3,7]=>[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,1,3,2,5]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,1,3,5,2]=>[1,4,2,6,5,3,7]=>[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,1,5,2,3]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,1,5,3,2]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,2,1,3,5]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,2,1,5,3]=>[1,4,2,6,5,3,7]=>[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,2,3,1,5]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,2,3,5,1]=>[1,4,2,6,5,3,7]=>[3,6,2,5,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,2,5,1,3]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,2,5,3,1]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,6,7,3,1,2,5]=>[1,4,3,7,5,2,6]=>[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,6,7,3,1,5,2]=>[1,4,3,7,2,6,5]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,6,7,3,2,1,5]=>[1,4,3,7,5,2,6]=>[6,3,2,5,7,4,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,6,7,3,2,5,1]=>[1,4,3,7,2,6,5]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,6,7,3,5,1,2]=>[1,4,3,7,2,6,5]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,6,7,3,5,2,1]=>[1,4,3,7,2,6,5]=>[5,3,2,7,6,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,6,7,5,1,2,3]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,7,5,1,3,2]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,7,5,2,1,3]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,7,5,2,3,1]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,6,7,5,3,1,2]=>[1,4,5,3,7,2,6]=>[6,4,2,3,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,6,7,5,3,2,1]=>[1,4,5,3,7,2,6]=>[6,4,2,3,7,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,7,1,2,3,5,6]=>[1,4,2,7,6,5,3]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,1,2,3,6,5]=>[1,4,2,7,5,3,6]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,1,2,5,3,6]=>[1,4,2,7,6,3,5]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,1,2,5,6,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,1,2,6,3,5]=>[1,4,2,7,5,6,3]=>[3,7,2,5,6,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,1,2,6,5,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,1,3,2,5,6]=>[1,4,3,2,7,6,5]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,7,1,3,2,6,5]=>[1,4,3,2,7,5,6]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,7,1,3,5,2,6]=>[1,4,3,2,7,6,5]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,7,1,3,5,6,2]=>[1,4,3,2,7,5,6]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,7,1,3,6,2,5]=>[1,4,3,2,7,5,6]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,7,1,3,6,5,2]=>[1,4,3,2,7,5,6]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,7,1,5,2,3,6]=>[1,4,5,2,7,6,3]=>[4,7,2,3,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,1,5,2,6,3]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,1,5,3,2,6]=>[1,4,5,3,2,7,6]=>[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,7,1,5,3,6,2]=>[1,4,5,3,2,7,6]=>[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,7,1,5,6,2,3]=>[1,4,5,6,2,7,3]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,7,1,5,6,3,2]=>[1,4,5,6,3,2,7]=>[6,5,2,3,4,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,7,1,6,2,3,5]=>[1,4,6,3,2,7,5]=>[5,4,2,7,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,1,6,2,5,3]=>[1,4,6,5,2,7,3]=>[5,7,2,4,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,1,6,3,2,5]=>[1,4,6,2,7,5,3]=>[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,1,6,3,5,2]=>[1,4,6,5,3,2,7]=>[6,5,2,4,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,1,6,5,2,3]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,1,6,5,3,2]=>[1,4,6,3,2,7,5]=>[5,4,2,7,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,2,1,3,5,6]=>[1,4,2,7,6,5,3]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,2,1,3,6,5]=>[1,4,2,7,5,3,6]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,2,1,5,3,6]=>[1,4,2,7,6,3,5]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,2,1,5,6,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,2,1,6,3,5]=>[1,4,2,7,5,6,3]=>[3,7,2,5,6,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,2,1,6,5,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,2,3,1,5,6]=>[1,4,3,2,7,6,5]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,7,2,3,1,6,5]=>[1,4,3,2,7,5,6]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,7,2,3,5,1,6]=>[1,4,3,2,7,6,5]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[4,7,2,3,5,6,1]=>[1,4,3,2,7,5,6]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,7,2,3,6,1,5]=>[1,4,3,2,7,5,6]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,7,2,3,6,5,1]=>[1,4,3,2,7,5,6]=>[4,3,2,6,7,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]
[4,7,2,5,1,3,6]=>[1,4,5,2,7,6,3]=>[4,7,2,3,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,2,5,1,6,3]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,2,5,3,1,6]=>[1,4,5,3,2,7,6]=>[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,7,2,5,3,6,1]=>[1,4,5,3,2,7,6]=>[5,4,2,3,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,7,2,5,6,1,3]=>[1,4,5,6,2,7,3]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,7,2,5,6,3,1]=>[1,4,5,6,3,2,7]=>[6,5,2,3,4,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,7,2,6,1,3,5]=>[1,4,6,3,2,7,5]=>[5,4,2,7,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,2,6,1,5,3]=>[1,4,6,5,2,7,3]=>[5,7,2,4,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,2,6,3,1,5]=>[1,4,6,2,7,5,3]=>[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,2,6,3,5,1]=>[1,4,6,5,3,2,7]=>[6,5,2,4,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,2,6,5,1,3]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,2,6,5,3,1]=>[1,4,6,3,2,7,5]=>[5,4,2,7,3,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,3,1,2,5,6]=>[1,4,2,7,6,5,3]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,3,1,2,6,5]=>[1,4,2,7,5,3,6]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,3,1,5,2,6]=>[1,4,2,7,6,3,5]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,3,1,5,6,2]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,3,1,6,2,5]=>[1,4,2,7,5,6,3]=>[3,7,2,5,6,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,3,1,6,5,2]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,3,2,1,5,6]=>[1,4,2,7,6,5,3]=>[3,7,2,6,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,3,2,1,6,5]=>[1,4,2,7,5,3,6]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,3,2,5,1,6]=>[1,4,2,7,6,3,5]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,3,2,5,6,1]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,3,2,6,1,5]=>[1,4,2,7,5,6,3]=>[3,7,2,5,6,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,3,2,6,5,1]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,3,5,1,2,6]=>[1,4,5,2,7,6,3]=>[4,7,2,3,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,3,5,1,6,2]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,3,5,2,1,6]=>[1,4,5,2,7,6,3]=>[4,7,2,3,6,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,3,5,2,6,1]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,3,5,6,1,2]=>[1,4,5,6,2,7,3]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,7,3,5,6,2,1]=>[1,4,5,6,2,7,3]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[4,7,3,6,1,2,5]=>[1,4,6,2,7,5,3]=>[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,3,6,1,5,2]=>[1,4,6,5,2,7,3]=>[5,7,2,4,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,3,6,2,1,5]=>[1,4,6,2,7,5,3]=>[4,7,2,6,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,3,6,2,5,1]=>[1,4,6,5,2,7,3]=>[5,7,2,4,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,3,6,5,1,2]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,3,6,5,2,1]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,5,1,2,3,6]=>[1,4,2,7,6,3,5]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,5,1,2,6,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,5,1,3,2,6]=>[1,4,2,7,6,3,5]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,5,1,3,6,2]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,5,1,6,2,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,5,1,6,3,2]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,5,2,1,3,6]=>[1,4,2,7,6,3,5]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,5,2,1,6,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,5,2,3,1,6]=>[1,4,2,7,6,3,5]=>[3,6,2,7,5,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,5,2,3,6,1]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,5,2,6,1,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,5,2,6,3,1]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,5,3,1,2,6]=>[1,4,3,5,2,7,6]=>[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,7,5,3,1,6,2]=>[1,4,3,5,2,7,6]=>[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,7,5,3,2,1,6]=>[1,4,3,5,2,7,6]=>[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,7,5,3,2,6,1]=>[1,4,3,5,2,7,6]=>[5,3,2,4,7,6,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[4,7,5,3,6,1,2]=>[1,4,3,5,6,2,7]=>[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,7,5,3,6,2,1]=>[1,4,3,5,6,2,7]=>[6,3,2,4,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,7,5,6,1,2,3]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,5,6,1,3,2]=>[1,4,6,3,5,2,7]=>[6,4,2,5,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,5,6,2,1,3]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,5,6,2,3,1]=>[1,4,6,3,5,2,7]=>[6,4,2,5,3,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,5,6,3,1,2]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,5,6,3,2,1]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[4,7,6,1,2,3,5]=>[1,4,2,7,5,3,6]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,6,1,2,5,3]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,6,1,3,2,5]=>[1,4,2,7,5,3,6]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,6,1,3,5,2]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,6,1,5,2,3]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,6,1,5,3,2]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,6,2,1,3,5]=>[1,4,2,7,5,3,6]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,6,2,1,5,3]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,6,2,3,1,5]=>[1,4,2,7,5,3,6]=>[3,6,2,5,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,7,6,2,3,5,1]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,6,2,5,1,3]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,6,2,5,3,1]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[4,7,6,3,1,2,5]=>[1,4,3,6,2,7,5]=>[5,3,2,7,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,6,3,1,5,2]=>[1,4,3,6,5,2,7]=>[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,6,3,2,1,5]=>[1,4,3,6,2,7,5]=>[5,3,2,7,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,6,3,2,5,1]=>[1,4,3,6,5,2,7]=>[6,3,2,5,4,7,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,6,3,5,1,2]=>[1,4,3,6,2,7,5]=>[5,3,2,7,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,6,3,5,2,1]=>[1,4,3,6,2,7,5]=>[5,3,2,7,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[4,7,6,5,1,2,3]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,6,5,1,3,2]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,6,5,2,1,3]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,6,5,2,3,1]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,7,6,5,3,1,2]=>[1,4,5,3,6,2,7]=>[6,4,2,3,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[4,7,6,5,3,2,1]=>[1,4,5,3,6,2,7]=>[6,4,2,3,5,7,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[5,1,2,3,4,6,7]=>[1,5,4,3,2,6,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,1,2,3,4,7,6]=>[1,5,4,3,2,6,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,1,2,3,6,4,7]=>[1,5,6,4,3,2,7]=>[6,5,4,2,3,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,1,2,3,6,7,4]=>[1,5,6,7,4,3,2]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,1,2,3,7,4,6]=>[1,5,7,6,4,3,2]=>[7,6,5,2,4,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,2,3,7,6,4]=>[1,5,7,4,3,2,6]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,2,4,3,6,7]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,2,4,3,7,6]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,2,4,6,3,7]=>[1,5,6,3,2,4,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,2,4,6,7,3]=>[1,5,6,7,3,2,4]=>[6,5,7,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,2,4,7,3,6]=>[1,5,7,6,3,2,4]=>[6,5,7,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,2,4,7,6,3]=>[1,5,7,3,2,4,6]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,2,6,3,4,7]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,2,6,3,7,4]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,2,6,4,3,7]=>[1,5,4,6,3,2,7]=>[6,5,3,2,4,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,1,2,6,4,7,3]=>[1,5,4,6,7,3,2]=>[7,6,3,2,4,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,1,2,6,7,3,4]=>[1,5,7,4,6,3,2]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,2,6,7,4,3]=>[1,5,7,3,2,4,6]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,2,7,3,4,6]=>[1,5,3,2,4,7,6]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,2,7,3,6,4]=>[1,5,3,2,4,7,6]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,2,7,4,3,6]=>[1,5,4,7,6,3,2]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,2,7,4,6,3]=>[1,5,4,7,3,2,6]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,2,7,6,3,4]=>[1,5,6,3,2,4,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,2,7,6,4,3]=>[1,5,6,4,7,3,2]=>[7,6,4,2,3,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,1,3,2,4,6,7]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,3,2,4,7,6]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,3,2,6,4,7]=>[1,5,6,4,2,3,7]=>[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,3,2,6,7,4]=>[1,5,6,7,4,2,3]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,3,2,7,4,6]=>[1,5,7,6,4,2,3]=>[6,7,5,2,4,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,3,2,7,6,4]=>[1,5,7,4,2,3,6]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,3,4,2,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,3,4,2,7,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,3,4,6,2,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,3,4,6,7,2]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,3,4,7,2,6]=>[1,5,7,6,2,3,4]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,3,4,7,6,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,3,6,2,4,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,3,6,2,7,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,3,6,4,2,7]=>[1,5,4,6,2,3,7]=>[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,3,6,4,7,2]=>[1,5,4,6,7,2,3]=>[6,7,3,2,4,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,3,6,7,2,4]=>[1,5,7,4,6,2,3]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,3,6,7,4,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,3,7,2,4,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,3,7,2,6,4]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,3,7,4,2,6]=>[1,5,4,7,6,2,3]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,3,7,4,6,2]=>[1,5,4,7,2,3,6]=>[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,3,7,6,2,4]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,3,7,6,4,2]=>[1,5,6,4,7,2,3]=>[6,7,4,2,3,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,4,2,3,6,7]=>[1,5,3,4,2,6,7]=>[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,4,2,3,7,6]=>[1,5,3,4,2,6,7]=>[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,4,2,6,3,7]=>[1,5,6,3,4,2,7]=>[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,4,2,6,7,3]=>[1,5,6,7,3,4,2]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,4,2,7,3,6]=>[1,5,7,6,3,4,2]=>[7,5,6,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,4,2,7,6,3]=>[1,5,7,3,4,2,6]=>[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,4,3,2,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,4,3,2,7,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,4,3,6,2,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,4,3,6,7,2]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,4,3,7,2,6]=>[1,5,7,6,2,3,4]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,4,3,7,6,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,4,6,2,3,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,4,6,2,7,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,4,6,3,2,7]=>[1,5,3,4,6,2,7]=>[6,3,4,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,4,6,3,7,2]=>[1,5,3,4,6,7,2]=>[7,3,4,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,4,6,7,2,3]=>[1,5,7,3,4,6,2]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,4,6,7,3,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,4,7,2,3,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,4,7,2,6,3]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,4,7,3,2,6]=>[1,5,3,4,7,6,2]=>[7,3,4,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,4,7,3,6,2]=>[1,5,3,4,7,2,6]=>[6,3,4,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,4,7,6,2,3]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,4,7,6,3,2]=>[1,5,6,3,4,7,2]=>[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,6,2,3,4,7]=>[1,5,3,6,4,2,7]=>[6,3,5,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,6,2,3,7,4]=>[1,5,3,6,7,4,2]=>[7,3,6,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,6,2,4,3,7]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,6,2,4,7,3]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,6,2,7,3,4]=>[1,5,7,4,2,3,6]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,6,2,7,4,3]=>[1,5,7,3,6,4,2]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,6,3,2,4,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,6,3,2,7,4]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,6,3,4,2,7]=>[1,5,4,3,6,2,7]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,1,6,3,4,7,2]=>[1,5,4,3,6,7,2]=>[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,1,6,3,7,2,4]=>[1,5,7,4,3,6,2]=>[7,5,4,2,6,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,6,3,7,4,2]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,6,4,2,3,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,6,4,2,7,3]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,6,4,3,2,7]=>[1,5,3,6,2,4,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,6,4,3,7,2]=>[1,5,3,6,7,2,4]=>[6,3,7,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,6,4,7,2,3]=>[1,5,7,3,6,2,4]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,6,4,7,3,2]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,6,7,2,3,4]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,6,7,2,4,3]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,6,7,3,2,4]=>[1,5,3,6,2,4,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,6,7,3,4,2]=>[1,5,3,6,4,7,2]=>[7,3,5,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,6,7,4,2,3]=>[1,5,4,7,3,6,2]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,6,7,4,3,2]=>[1,5,4,7,2,3,6]=>[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,7,2,3,4,6]=>[1,5,3,7,6,4,2]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,7,2,3,6,4]=>[1,5,3,7,4,2,6]=>[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,7,2,4,3,6]=>[1,5,4,2,3,7,6]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,7,2,4,6,3]=>[1,5,4,2,3,7,6]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,1,7,2,6,3,4]=>[1,5,6,3,7,4,2]=>[7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,7,2,6,4,3]=>[1,5,6,4,2,3,7]=>[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,7,3,2,4,6]=>[1,5,2,3,7,6,4]=>[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,7,3,2,6,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,7,3,4,2,6]=>[1,5,4,3,7,6,2]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,7,3,4,6,2]=>[1,5,4,3,7,2,6]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,1,7,3,6,2,4]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,7,3,6,4,2]=>[1,5,6,4,3,7,2]=>[7,5,4,2,3,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,1,7,4,2,3,6]=>[1,5,2,3,7,6,4]=>[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,7,4,2,6,3]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,7,4,3,2,6]=>[1,5,3,7,6,2,4]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,7,4,3,6,2]=>[1,5,3,7,2,4,6]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,7,4,6,2,3]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,1,7,4,6,3,2]=>[1,5,6,3,7,2,4]=>[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,1,7,6,2,3,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,7,6,2,4,3]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,1,7,6,3,2,4]=>[1,5,3,7,4,6,2]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,7,6,3,4,2]=>[1,5,3,7,2,4,6]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,1,7,6,4,2,3]=>[1,5,4,6,2,3,7]=>[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,1,7,6,4,3,2]=>[1,5,4,6,3,7,2]=>[7,5,3,2,4,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,2,1,3,4,6,7]=>[1,5,4,3,2,6,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,2,1,3,4,7,6]=>[1,5,4,3,2,6,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,2,1,3,6,4,7]=>[1,5,6,4,3,2,7]=>[6,5,4,2,3,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,2,1,3,6,7,4]=>[1,5,6,7,4,3,2]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,2,1,3,7,4,6]=>[1,5,7,6,4,3,2]=>[7,6,5,2,4,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,1,3,7,6,4]=>[1,5,7,4,3,2,6]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,1,4,3,6,7]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,1,4,3,7,6]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,1,4,6,3,7]=>[1,5,6,3,2,4,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,1,4,6,7,3]=>[1,5,6,7,3,2,4]=>[6,5,7,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,1,4,7,3,6]=>[1,5,7,6,3,2,4]=>[6,5,7,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,1,4,7,6,3]=>[1,5,7,3,2,4,6]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,1,6,3,4,7]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,1,6,3,7,4]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,1,6,4,3,7]=>[1,5,4,6,3,2,7]=>[6,5,3,2,4,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,2,1,6,4,7,3]=>[1,5,4,6,7,3,2]=>[7,6,3,2,4,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,2,1,6,7,3,4]=>[1,5,7,4,6,3,2]=>[7,6,4,2,5,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,1,6,7,4,3]=>[1,5,7,3,2,4,6]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,1,7,3,4,6]=>[1,5,3,2,4,7,6]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,1,7,3,6,4]=>[1,5,3,2,4,7,6]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,1,7,4,3,6]=>[1,5,4,7,6,3,2]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,1,7,4,6,3]=>[1,5,4,7,3,2,6]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,1,7,6,3,4]=>[1,5,6,3,2,4,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,1,7,6,4,3]=>[1,5,6,4,7,3,2]=>[7,6,4,2,3,5,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,2,3,1,4,6,7]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,2,3,1,4,7,6]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,2,3,1,6,4,7]=>[1,5,6,4,2,3,7]=>[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,2,3,1,6,7,4]=>[1,5,6,7,4,2,3]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,2,3,1,7,4,6]=>[1,5,7,6,4,2,3]=>[6,7,5,2,4,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,3,1,7,6,4]=>[1,5,7,4,2,3,6]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,3,4,1,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,3,4,1,7,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,3,4,6,1,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,3,4,6,7,1]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,3,4,7,1,6]=>[1,5,7,6,2,3,4]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,3,4,7,6,1]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,3,6,1,4,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,3,6,1,7,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,3,6,4,1,7]=>[1,5,4,6,2,3,7]=>[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,2,3,6,4,7,1]=>[1,5,4,6,7,2,3]=>[6,7,3,2,4,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,2,3,6,7,1,4]=>[1,5,7,4,6,2,3]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,3,6,7,4,1]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,3,7,1,4,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,3,7,1,6,4]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,3,7,4,1,6]=>[1,5,4,7,6,2,3]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,3,7,4,6,1]=>[1,5,4,7,2,3,6]=>[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,3,7,6,1,4]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,3,7,6,4,1]=>[1,5,6,4,7,2,3]=>[6,7,4,2,3,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,2,4,1,3,6,7]=>[1,5,3,4,2,6,7]=>[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,4,1,3,7,6]=>[1,5,3,4,2,6,7]=>[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,4,1,6,3,7]=>[1,5,6,3,4,2,7]=>[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,4,1,6,7,3]=>[1,5,6,7,3,4,2]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,4,1,7,3,6]=>[1,5,7,6,3,4,2]=>[7,5,6,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,4,1,7,6,3]=>[1,5,7,3,4,2,6]=>[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,4,3,1,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,4,3,1,7,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,4,3,6,1,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,4,3,6,7,1]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,4,3,7,1,6]=>[1,5,7,6,2,3,4]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,4,3,7,6,1]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,4,6,1,3,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,4,6,1,7,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,4,6,3,1,7]=>[1,5,3,4,6,2,7]=>[6,3,4,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,4,6,3,7,1]=>[1,5,3,4,6,7,2]=>[7,3,4,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,4,6,7,1,3]=>[1,5,7,3,4,6,2]=>[7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,4,6,7,3,1]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,4,7,1,3,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,4,7,1,6,3]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,4,7,3,1,6]=>[1,5,3,4,7,6,2]=>[7,3,4,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,4,7,3,6,1]=>[1,5,3,4,7,2,6]=>[6,3,4,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,4,7,6,1,3]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,4,7,6,3,1]=>[1,5,6,3,4,7,2]=>[7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,6,1,3,4,7]=>[1,5,3,6,4,2,7]=>[6,3,5,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,6,1,3,7,4]=>[1,5,3,6,7,4,2]=>[7,3,6,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,6,1,4,3,7]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,2,6,1,4,7,3]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,2,6,1,7,3,4]=>[1,5,7,4,2,3,6]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,6,1,7,4,3]=>[1,5,7,3,6,4,2]=>[7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,6,3,1,4,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,6,3,1,7,4]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,6,3,4,1,7]=>[1,5,4,3,6,2,7]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,2,6,3,4,7,1]=>[1,5,4,3,6,7,2]=>[7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,2,6,3,7,1,4]=>[1,5,7,4,3,6,2]=>[7,5,4,2,6,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,6,3,7,4,1]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,6,4,1,3,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,6,4,1,7,3]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,6,4,3,1,7]=>[1,5,3,6,2,4,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,6,4,3,7,1]=>[1,5,3,6,7,2,4]=>[6,3,7,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,6,4,7,1,3]=>[1,5,7,3,6,2,4]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,6,4,7,3,1]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,6,7,1,3,4]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,6,7,1,4,3]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,6,7,3,1,4]=>[1,5,3,6,2,4,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,6,7,3,4,1]=>[1,5,3,6,4,7,2]=>[7,3,5,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,6,7,4,1,3]=>[1,5,4,7,3,6,2]=>[7,5,3,2,6,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,6,7,4,3,1]=>[1,5,4,7,2,3,6]=>[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,7,1,3,4,6]=>[1,5,3,7,6,4,2]=>[7,3,6,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,7,1,3,6,4]=>[1,5,3,7,4,2,6]=>[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,7,1,4,3,6]=>[1,5,4,2,3,7,6]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,7,1,4,6,3]=>[1,5,4,2,3,7,6]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,2,7,1,6,3,4]=>[1,5,6,3,7,4,2]=>[7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,7,1,6,4,3]=>[1,5,6,4,2,3,7]=>[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,2,7,3,1,4,6]=>[1,5,2,3,7,6,4]=>[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,7,3,1,6,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,7,3,4,1,6]=>[1,5,4,3,7,6,2]=>[7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,7,3,4,6,1]=>[1,5,4,3,7,2,6]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,2,7,3,6,1,4]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,7,3,6,4,1]=>[1,5,6,4,3,7,2]=>[7,5,4,2,3,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,2,7,4,1,3,6]=>[1,5,2,3,7,6,4]=>[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,7,4,1,6,3]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,7,4,3,1,6]=>[1,5,3,7,6,2,4]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,7,4,3,6,1]=>[1,5,3,7,2,4,6]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,7,4,6,1,3]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,2,7,4,6,3,1]=>[1,5,6,3,7,2,4]=>[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,2,7,6,1,3,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,7,6,1,4,3]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,2,7,6,3,1,4]=>[1,5,3,7,4,6,2]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,7,6,3,4,1]=>[1,5,3,7,2,4,6]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,2,7,6,4,1,3]=>[1,5,4,6,2,3,7]=>[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,2,7,6,4,3,1]=>[1,5,4,6,3,7,2]=>[7,5,3,2,4,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,3,1,2,4,6,7]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,1,2,4,7,6]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,1,2,6,4,7]=>[1,5,6,4,2,3,7]=>[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,1,2,6,7,4]=>[1,5,6,7,4,2,3]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,1,2,7,4,6]=>[1,5,7,6,4,2,3]=>[6,7,5,2,4,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,1,2,7,6,4]=>[1,5,7,4,2,3,6]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,1,4,2,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,1,4,2,7,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,1,4,6,2,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,1,4,6,7,2]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,1,4,7,2,6]=>[1,5,7,6,2,3,4]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,1,4,7,6,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,1,6,2,4,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,1,6,2,7,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,1,6,4,2,7]=>[1,5,4,6,2,3,7]=>[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,1,6,4,7,2]=>[1,5,4,6,7,2,3]=>[6,7,3,2,4,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,1,6,7,2,4]=>[1,5,7,4,6,2,3]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,1,6,7,4,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,1,7,2,4,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,1,7,2,6,4]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,1,7,4,2,6]=>[1,5,4,7,6,2,3]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,1,7,4,6,2]=>[1,5,4,7,2,3,6]=>[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,1,7,6,2,4]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,1,7,6,4,2]=>[1,5,6,4,7,2,3]=>[6,7,4,2,3,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,2,1,4,6,7]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,2,1,4,7,6]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,2,1,6,4,7]=>[1,5,6,4,2,3,7]=>[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,2,1,6,7,4]=>[1,5,6,7,4,2,3]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,2,1,7,4,6]=>[1,5,7,6,4,2,3]=>[6,7,5,2,4,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,2,1,7,6,4]=>[1,5,7,4,2,3,6]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,2,4,1,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,2,4,1,7,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,2,4,6,1,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,2,4,6,7,1]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,2,4,7,1,6]=>[1,5,7,6,2,3,4]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,2,4,7,6,1]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,2,6,1,4,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,2,6,1,7,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,2,6,4,1,7]=>[1,5,4,6,2,3,7]=>[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,2,6,4,7,1]=>[1,5,4,6,7,2,3]=>[6,7,3,2,4,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,2,6,7,1,4]=>[1,5,7,4,6,2,3]=>[6,7,4,2,5,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,2,6,7,4,1]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,2,7,1,4,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,2,7,1,6,4]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,2,7,4,1,6]=>[1,5,4,7,6,2,3]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,2,7,4,6,1]=>[1,5,4,7,2,3,6]=>[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,2,7,6,1,4]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,2,7,6,4,1]=>[1,5,6,4,7,2,3]=>[6,7,4,2,3,5,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,4,1,2,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,1,2,7,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,1,6,2,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,1,6,7,2]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,1,7,2,6]=>[1,5,7,6,2,3,4]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,4,1,7,6,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,4,2,1,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,2,1,7,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,2,6,1,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,2,6,7,1]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,2,7,1,6]=>[1,5,7,6,2,3,4]=>[5,6,7,2,4,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,4,2,7,6,1]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,4,6,1,2,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,6,1,7,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,6,2,1,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,6,2,7,1]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,6,7,1,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,4,6,7,2,1]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,4,7,1,2,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,4,7,1,6,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,4,7,2,1,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,4,7,2,6,1]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,4,7,6,1,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,4,7,6,2,1]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,1,2,4,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,1,2,7,4]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,1,4,2,7]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,6,1,4,7,2]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,6,1,7,2,4]=>[1,5,7,4,2,3,6]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,6,1,7,4,2]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,6,2,1,4,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,2,1,7,4]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,2,4,1,7]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,6,2,4,7,1]=>[1,5,4,2,3,6,7]=>[4,5,3,2,6,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,6,2,7,1,4]=>[1,5,7,4,2,3,6]=>[5,6,4,2,7,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,6,2,7,4,1]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,6,4,1,2,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,4,1,7,2]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,4,2,1,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,4,2,7,1]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,4,7,1,2]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,6,4,7,2,1]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,6,7,1,2,4]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,7,1,4,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,7,2,1,4]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,7,2,4,1]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,6,7,4,1,2]=>[1,5,4,7,2,3,6]=>[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,6,7,4,2,1]=>[1,5,4,7,2,3,6]=>[5,6,3,2,7,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,7,1,2,4,6]=>[1,5,2,3,7,6,4]=>[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,1,2,6,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,1,4,2,6]=>[1,5,4,2,3,7,6]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,7,1,4,6,2]=>[1,5,4,2,3,7,6]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,7,1,6,2,4]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,7,1,6,4,2]=>[1,5,6,4,2,3,7]=>[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,7,2,1,4,6]=>[1,5,2,3,7,6,4]=>[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,2,1,6,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,2,4,1,6]=>[1,5,4,2,3,7,6]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,7,2,4,6,1]=>[1,5,4,2,3,7,6]=>[4,5,3,2,7,6,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,3,7,2,6,1,4]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,7,2,6,4,1]=>[1,5,6,4,2,3,7]=>[5,6,4,2,3,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,7,4,1,2,6]=>[1,5,2,3,7,6,4]=>[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,4,1,6,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,4,2,1,6]=>[1,5,2,3,7,6,4]=>[3,4,7,2,6,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,4,2,6,1]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,4,6,1,2]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,7,4,6,2,1]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,3,7,6,1,2,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,6,1,4,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,6,2,1,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,6,2,4,1]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,3,7,6,4,1,2]=>[1,5,4,6,2,3,7]=>[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,3,7,6,4,2,1]=>[1,5,4,6,2,3,7]=>[5,6,3,2,4,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,4,1,2,3,6,7]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,1,2,3,7,6]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,1,2,6,3,7]=>[1,5,6,3,2,4,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,1,2,6,7,3]=>[1,5,6,7,3,2,4]=>[6,5,7,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,1,2,7,3,6]=>[1,5,7,6,3,2,4]=>[6,5,7,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,1,2,7,6,3]=>[1,5,7,3,2,4,6]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,1,3,2,6,7]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,1,3,2,7,6]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,1,3,6,2,7]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,1,3,6,7,2]=>[1,5,6,7,2,4,3]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,1,3,7,2,6]=>[1,5,7,6,2,4,3]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,1,3,7,6,2]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,1,6,2,3,7]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,1,6,2,7,3]=>[1,5,2,4,6,7,3]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,1,6,3,2,7]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,1,6,3,7,2]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,1,6,7,2,3]=>[1,5,7,3,2,4,6]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,1,6,7,3,2]=>[1,5,7,2,4,6,3]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,1,7,2,3,6]=>[1,5,2,4,7,6,3]=>[3,7,4,2,6,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,1,7,2,6,3]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,1,7,3,2,6]=>[1,5,3,2,4,7,6]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,1,7,3,6,2]=>[1,5,3,2,4,7,6]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,1,7,6,2,3]=>[1,5,6,2,4,7,3]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,1,7,6,3,2]=>[1,5,6,3,2,4,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,2,1,3,6,7]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,2,1,3,7,6]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,2,1,6,3,7]=>[1,5,6,3,2,4,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,2,1,6,7,3]=>[1,5,6,7,3,2,4]=>[6,5,7,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,2,1,7,3,6]=>[1,5,7,6,3,2,4]=>[6,5,7,2,4,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,2,1,7,6,3]=>[1,5,7,3,2,4,6]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,2,3,1,6,7]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,2,3,1,7,6]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,2,3,6,1,7]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,2,3,6,7,1]=>[1,5,6,7,2,4,3]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,2,3,7,1,6]=>[1,5,7,6,2,4,3]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,2,3,7,6,1]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,2,6,1,3,7]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,2,6,1,7,3]=>[1,5,2,4,6,7,3]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,2,6,3,1,7]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,2,6,3,7,1]=>[1,5,3,2,4,6,7]=>[4,3,5,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,2,6,7,1,3]=>[1,5,7,3,2,4,6]=>[5,4,6,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,2,6,7,3,1]=>[1,5,7,2,4,6,3]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,2,7,1,3,6]=>[1,5,2,4,7,6,3]=>[3,7,4,2,6,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,2,7,1,6,3]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,2,7,3,1,6]=>[1,5,3,2,4,7,6]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,2,7,3,6,1]=>[1,5,3,2,4,7,6]=>[4,3,5,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,2,7,6,1,3]=>[1,5,6,2,4,7,3]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,2,7,6,3,1]=>[1,5,6,3,2,4,7]=>[5,4,6,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,3,1,2,6,7]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,1,2,7,6]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,1,6,2,7]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,1,6,7,2]=>[1,5,6,7,2,4,3]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,1,7,2,6]=>[1,5,7,6,2,4,3]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,3,1,7,6,2]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,3,2,1,6,7]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,2,1,7,6]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,2,6,1,7]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,2,6,7,1]=>[1,5,6,7,2,4,3]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,2,7,1,6]=>[1,5,7,6,2,4,3]=>[5,7,6,2,4,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,3,2,7,6,1]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,3,6,1,2,7]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,6,1,7,2]=>[1,5,2,4,6,7,3]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,6,2,1,7]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,6,2,7,1]=>[1,5,2,4,6,7,3]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,6,7,1,2]=>[1,5,7,2,4,6,3]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,3,6,7,2,1]=>[1,5,7,2,4,6,3]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,3,7,1,2,6]=>[1,5,2,4,7,6,3]=>[3,7,4,2,6,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,3,7,1,6,2]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,3,7,2,1,6]=>[1,5,2,4,7,6,3]=>[3,7,4,2,6,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,3,7,2,6,1]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,3,7,6,1,2]=>[1,5,6,2,4,7,3]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,3,7,6,2,1]=>[1,5,6,2,4,7,3]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,6,1,2,3,7]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,6,1,2,7,3]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,6,1,3,2,7]=>[1,5,3,6,2,4,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,6,1,3,7,2]=>[1,5,3,6,7,2,4]=>[6,3,7,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,6,1,7,2,3]=>[1,5,7,3,6,2,4]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,6,1,7,3,2]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,6,2,1,3,7]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,6,2,1,7,3]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,6,2,3,1,7]=>[1,5,3,6,2,4,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,6,2,3,7,1]=>[1,5,3,6,7,2,4]=>[6,3,7,2,4,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,6,2,7,1,3]=>[1,5,7,3,6,2,4]=>[6,4,7,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,6,2,7,3,1]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,6,3,1,2,7]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,6,3,1,7,2]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,6,3,2,1,7]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,6,3,2,7,1]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,6,3,7,1,2]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,6,3,7,2,1]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,6,7,1,2,3]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,6,7,1,3,2]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,6,7,2,1,3]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,6,7,2,3,1]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,6,7,3,1,2]=>[1,5,3,6,2,4,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,6,7,3,2,1]=>[1,5,3,6,2,4,7]=>[5,3,6,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,7,1,2,3,6]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,7,1,2,6,3]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,7,1,3,2,6]=>[1,5,3,7,6,2,4]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,7,1,3,6,2]=>[1,5,3,7,2,4,6]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,7,1,6,2,3]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,7,1,6,3,2]=>[1,5,6,3,7,2,4]=>[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,7,2,1,3,6]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,7,2,1,6,3]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,7,2,3,1,6]=>[1,5,3,7,6,2,4]=>[6,3,7,2,5,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,7,2,3,6,1]=>[1,5,3,7,2,4,6]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,7,2,6,1,3]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,7,2,6,3,1]=>[1,5,6,3,7,2,4]=>[6,4,7,2,3,5,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,4,7,3,1,2,6]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,7,3,1,6,2]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,7,3,2,1,6]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,7,3,2,6,1]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,4,7,3,6,1,2]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,7,3,6,2,1]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,7,6,1,2,3]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,7,6,1,3,2]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,7,6,2,1,3]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,7,6,2,3,1]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,4,7,6,3,1,2]=>[1,5,3,7,2,4,6]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,4,7,6,3,2,1]=>[1,5,3,7,2,4,6]=>[5,3,6,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,1,2,3,4,7]=>[1,5,3,2,6,4,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,1,2,3,7,4]=>[1,5,3,2,6,7,4]=>[4,3,7,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,1,2,4,3,7]=>[1,5,4,2,6,3,7]=>[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,1,2,4,7,3]=>[1,5,4,2,6,7,3]=>[4,7,3,2,5,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,1,2,7,3,4]=>[1,5,7,4,2,6,3]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,1,2,7,4,3]=>[1,5,7,3,2,6,4]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,1,3,2,4,7]=>[1,5,2,6,4,3,7]=>[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,1,3,2,7,4]=>[1,5,2,6,7,4,3]=>[3,7,6,2,4,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,1,3,4,2,7]=>[1,5,4,3,2,6,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,6,1,3,4,7,2]=>[1,5,4,3,2,6,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,6,1,3,7,2,4]=>[1,5,7,4,3,2,6]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,6,1,3,7,4,2]=>[1,5,7,2,6,4,3]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,6,1,4,2,3,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,1,4,2,7,3]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,1,4,3,2,7]=>[1,5,3,2,6,4,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,1,4,3,7,2]=>[1,5,3,2,6,7,4]=>[4,3,7,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,1,4,7,2,3]=>[1,5,7,3,2,6,4]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,1,4,7,3,2]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,6,1,7,2,3,4]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,1,7,2,4,3]=>[1,5,2,6,4,7,3]=>[3,7,5,2,4,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,1,7,3,2,4]=>[1,5,3,2,6,4,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,1,7,3,4,2]=>[1,5,3,2,6,4,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,1,7,4,2,3]=>[1,5,4,7,3,2,6]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,6,1,7,4,3,2]=>[1,5,4,7,2,6,3]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,2,1,3,4,7]=>[1,5,3,2,6,4,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,2,1,3,7,4]=>[1,5,3,2,6,7,4]=>[4,3,7,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,2,1,4,3,7]=>[1,5,4,2,6,3,7]=>[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,2,1,4,7,3]=>[1,5,4,2,6,7,3]=>[4,7,3,2,5,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,2,1,7,3,4]=>[1,5,7,4,2,6,3]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,2,1,7,4,3]=>[1,5,7,3,2,6,4]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,2,3,1,4,7]=>[1,5,2,6,4,3,7]=>[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,2,3,1,7,4]=>[1,5,2,6,7,4,3]=>[3,7,6,2,4,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,2,3,4,1,7]=>[1,5,4,3,2,6,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,6,2,3,4,7,1]=>[1,5,4,3,2,6,7]=>[5,4,3,2,6,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,6,2,3,7,1,4]=>[1,5,7,4,3,2,6]=>[6,5,4,2,7,3,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,6,2,3,7,4,1]=>[1,5,7,2,6,4,3]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,6,2,4,1,3,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,2,4,1,7,3]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,2,4,3,1,7]=>[1,5,3,2,6,4,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,2,4,3,7,1]=>[1,5,3,2,6,7,4]=>[4,3,7,2,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,2,4,7,1,3]=>[1,5,7,3,2,6,4]=>[5,4,7,2,6,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,2,4,7,3,1]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,6,2,7,1,3,4]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,2,7,1,4,3]=>[1,5,2,6,4,7,3]=>[3,7,5,2,4,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,2,7,3,1,4]=>[1,5,3,2,6,4,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,2,7,3,4,1]=>[1,5,3,2,6,4,7]=>[4,3,6,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,2,7,4,1,3]=>[1,5,4,7,3,2,6]=>[6,5,3,2,7,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,6,2,7,4,3,1]=>[1,5,4,7,2,6,3]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,3,1,2,4,7]=>[1,5,2,6,4,3,7]=>[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,3,1,2,7,4]=>[1,5,2,6,7,4,3]=>[3,7,6,2,4,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,3,1,4,2,7]=>[1,5,4,2,6,3,7]=>[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,3,1,4,7,2]=>[1,5,4,2,6,7,3]=>[4,7,3,2,5,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,3,1,7,2,4]=>[1,5,7,4,2,6,3]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,3,1,7,4,2]=>[1,5,7,2,6,4,3]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,6,3,2,1,4,7]=>[1,5,2,6,4,3,7]=>[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,3,2,1,7,4]=>[1,5,2,6,7,4,3]=>[3,7,6,2,4,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,3,2,4,1,7]=>[1,5,4,2,6,3,7]=>[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,3,2,4,7,1]=>[1,5,4,2,6,7,3]=>[4,7,3,2,5,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,3,2,7,1,4]=>[1,5,7,4,2,6,3]=>[5,7,4,2,6,3,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,3,2,7,4,1]=>[1,5,7,2,6,4,3]=>[4,7,6,2,5,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,6,3,4,1,2,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,3,4,1,7,2]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,3,4,2,1,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,3,4,2,7,1]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,3,4,7,1,2]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,6,3,4,7,2,1]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,6,3,7,1,2,4]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,3,7,1,4,2]=>[1,5,2,6,4,7,3]=>[3,7,5,2,4,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,3,7,2,1,4]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,3,7,2,4,1]=>[1,5,2,6,4,7,3]=>[3,7,5,2,4,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,3,7,4,1,2]=>[1,5,4,7,2,6,3]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,3,7,4,2,1]=>[1,5,4,7,2,6,3]=>[5,7,3,2,6,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,6,4,1,2,3,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,1,2,7,3]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,1,3,2,7]=>[1,5,3,4,2,6,7]=>[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,4,1,3,7,2]=>[1,5,3,4,2,6,7]=>[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,4,1,7,2,3]=>[1,5,7,3,4,2,6]=>[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,4,1,7,3,2]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,6,4,2,1,3,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,2,1,7,3]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,2,3,1,7]=>[1,5,3,4,2,6,7]=>[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,4,2,3,7,1]=>[1,5,3,4,2,6,7]=>[5,3,4,2,6,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,6,4,2,7,1,3]=>[1,5,7,3,4,2,6]=>[6,4,5,2,7,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,4,2,7,3,1]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,6,4,3,1,2,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,3,1,7,2]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,3,2,1,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,3,2,7,1]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,3,7,1,2]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,6,4,3,7,2,1]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,6,4,7,1,2,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,7,1,3,2]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,7,2,1,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,7,2,3,1]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,4,7,3,1,2]=>[1,5,3,4,7,2,6]=>[6,3,4,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,4,7,3,2,1]=>[1,5,3,4,7,2,6]=>[6,3,4,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,7,1,2,3,4]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,7,1,2,4,3]=>[1,5,2,6,4,3,7]=>[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,7,1,3,2,4]=>[1,5,3,7,4,2,6]=>[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,7,1,3,4,2]=>[1,5,3,7,2,6,4]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,7,1,4,2,3]=>[1,5,4,2,6,3,7]=>[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,7,1,4,3,2]=>[1,5,4,2,6,3,7]=>[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,7,2,1,3,4]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,7,2,1,4,3]=>[1,5,2,6,4,3,7]=>[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,7,2,3,1,4]=>[1,5,3,7,4,2,6]=>[6,3,5,2,7,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,7,2,3,4,1]=>[1,5,3,7,2,6,4]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,7,2,4,1,3]=>[1,5,4,2,6,3,7]=>[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,7,2,4,3,1]=>[1,5,4,2,6,3,7]=>[4,6,3,2,5,7,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,6,7,3,1,2,4]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,7,3,1,4,2]=>[1,5,2,6,4,3,7]=>[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,7,3,2,1,4]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,7,3,2,4,1]=>[1,5,2,6,4,3,7]=>[3,6,5,2,4,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,6,7,3,4,1,2]=>[1,5,4,3,7,2,6]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,6,7,3,4,2,1]=>[1,5,4,3,7,2,6]=>[6,4,3,2,7,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,6,7,4,1,2,3]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,7,4,1,3,2]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,7,4,2,1,3]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,7,4,2,3,1]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,6,7,4,3,1,2]=>[1,5,3,7,2,6,4]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,6,7,4,3,2,1]=>[1,5,3,7,2,6,4]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,1,2,3,4,6]=>[1,5,3,2,7,6,4]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,1,2,3,6,4]=>[1,5,3,2,7,4,6]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,1,2,4,3,6]=>[1,5,4,2,7,6,3]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,1,2,4,6,3]=>[1,5,4,2,7,3,6]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,1,2,6,3,4]=>[1,5,6,3,2,7,4]=>[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,1,2,6,4,3]=>[1,5,6,4,2,7,3]=>[5,7,4,2,3,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,7,1,3,2,4,6]=>[1,5,2,7,6,4,3]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,1,3,2,6,4]=>[1,5,2,7,4,3,6]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,1,3,4,2,6]=>[1,5,4,3,2,7,6]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,7,1,3,4,6,2]=>[1,5,4,3,2,7,6]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,7,1,3,6,2,4]=>[1,5,6,2,7,4,3]=>[4,7,6,2,3,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,7,1,3,6,4,2]=>[1,5,6,4,3,2,7]=>[6,5,4,2,3,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,7,1,4,2,3,6]=>[1,5,2,7,6,3,4]=>[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,1,4,2,6,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,1,4,3,2,6]=>[1,5,3,2,7,6,4]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,1,4,3,6,2]=>[1,5,3,2,7,4,6]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,1,4,6,2,3]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,7,1,4,6,3,2]=>[1,5,6,3,2,7,4]=>[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,1,6,2,3,4]=>[1,5,2,7,4,6,3]=>[3,7,5,2,6,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,1,6,2,4,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,1,6,3,2,4]=>[1,5,3,2,7,4,6]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,1,6,3,4,2]=>[1,5,3,2,7,4,6]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,1,6,4,2,3]=>[1,5,4,6,2,7,3]=>[5,7,3,2,4,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,7,1,6,4,3,2]=>[1,5,4,6,3,2,7]=>[6,5,3,2,4,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,7,2,1,3,4,6]=>[1,5,3,2,7,6,4]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,2,1,3,6,4]=>[1,5,3,2,7,4,6]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,2,1,4,3,6]=>[1,5,4,2,7,6,3]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,2,1,4,6,3]=>[1,5,4,2,7,3,6]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,2,1,6,3,4]=>[1,5,6,3,2,7,4]=>[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,2,1,6,4,3]=>[1,5,6,4,2,7,3]=>[5,7,4,2,3,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,7,2,3,1,4,6]=>[1,5,2,7,6,4,3]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,2,3,1,6,4]=>[1,5,2,7,4,3,6]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,2,3,4,1,6]=>[1,5,4,3,2,7,6]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,7,2,3,4,6,1]=>[1,5,4,3,2,7,6]=>[5,4,3,2,7,6,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[5,7,2,3,6,1,4]=>[1,5,6,2,7,4,3]=>[4,7,6,2,3,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,7,2,3,6,4,1]=>[1,5,6,4,3,2,7]=>[6,5,4,2,3,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,7,2,4,1,3,6]=>[1,5,2,7,6,3,4]=>[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,2,4,1,6,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,2,4,3,1,6]=>[1,5,3,2,7,6,4]=>[4,3,7,2,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,2,4,3,6,1]=>[1,5,3,2,7,4,6]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,2,4,6,1,3]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,7,2,4,6,3,1]=>[1,5,6,3,2,7,4]=>[5,4,7,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,2,6,1,3,4]=>[1,5,2,7,4,6,3]=>[3,7,5,2,6,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,2,6,1,4,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,2,6,3,1,4]=>[1,5,3,2,7,4,6]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,2,6,3,4,1]=>[1,5,3,2,7,4,6]=>[4,3,6,2,7,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,2,6,4,1,3]=>[1,5,4,6,2,7,3]=>[5,7,3,2,4,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,7,2,6,4,3,1]=>[1,5,4,6,3,2,7]=>[6,5,3,2,4,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,7,3,1,2,4,6]=>[1,5,2,7,6,4,3]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,3,1,2,6,4]=>[1,5,2,7,4,3,6]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,3,1,4,2,6]=>[1,5,4,2,7,6,3]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,3,1,4,6,2]=>[1,5,4,2,7,3,6]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,3,1,6,2,4]=>[1,5,6,2,7,4,3]=>[4,7,6,2,3,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,7,3,1,6,4,2]=>[1,5,6,4,2,7,3]=>[5,7,4,2,3,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,7,3,2,1,4,6]=>[1,5,2,7,6,4,3]=>[3,7,6,2,5,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,3,2,1,6,4]=>[1,5,2,7,4,3,6]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,3,2,4,1,6]=>[1,5,4,2,7,6,3]=>[4,7,3,2,6,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,3,2,4,6,1]=>[1,5,4,2,7,3,6]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,3,2,6,1,4]=>[1,5,6,2,7,4,3]=>[4,7,6,2,3,5,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[5,7,3,2,6,4,1]=>[1,5,6,4,2,7,3]=>[5,7,4,2,3,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,7,3,4,1,2,6]=>[1,5,2,7,6,3,4]=>[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,3,4,1,6,2]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,3,4,2,1,6]=>[1,5,2,7,6,3,4]=>[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,3,4,2,6,1]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,3,4,6,1,2]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,7,3,4,6,2,1]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,7,3,6,1,2,4]=>[1,5,2,7,4,6,3]=>[3,7,5,2,6,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,3,6,1,4,2]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,3,6,2,1,4]=>[1,5,2,7,4,6,3]=>[3,7,5,2,6,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,3,6,2,4,1]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,3,6,4,1,2]=>[1,5,4,6,2,7,3]=>[5,7,3,2,4,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,7,3,6,4,2,1]=>[1,5,4,6,2,7,3]=>[5,7,3,2,4,6,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[5,7,4,1,2,3,6]=>[1,5,2,7,6,3,4]=>[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,1,2,6,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,1,3,2,6]=>[1,5,3,4,2,7,6]=>[5,3,4,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,4,1,3,6,2]=>[1,5,3,4,2,7,6]=>[5,3,4,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,4,1,6,2,3]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,7,4,1,6,3,2]=>[1,5,6,3,4,2,7]=>[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,4,2,1,3,6]=>[1,5,2,7,6,3,4]=>[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,2,1,6,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,2,3,1,6]=>[1,5,3,4,2,7,6]=>[5,3,4,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,4,2,3,6,1]=>[1,5,3,4,2,7,6]=>[5,3,4,2,7,6,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[5,7,4,2,6,1,3]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,7,4,2,6,3,1]=>[1,5,6,3,4,2,7]=>[6,4,5,2,3,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,4,3,1,2,6]=>[1,5,2,7,6,3,4]=>[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,3,1,6,2]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,3,2,1,6]=>[1,5,2,7,6,3,4]=>[3,6,7,2,5,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,3,2,6,1]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,3,6,1,2]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,7,4,3,6,2,1]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[5,7,4,6,1,2,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,6,1,3,2]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,6,2,1,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,6,2,3,1]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,4,6,3,1,2]=>[1,5,3,4,6,2,7]=>[6,3,4,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,4,6,3,2,1]=>[1,5,3,4,6,2,7]=>[6,3,4,2,5,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,6,1,2,3,4]=>[1,5,2,7,4,3,6]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,6,1,2,4,3]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,6,1,3,2,4]=>[1,5,3,6,2,7,4]=>[5,3,7,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,6,1,3,4,2]=>[1,5,3,6,4,2,7]=>[6,3,5,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,6,1,4,2,3]=>[1,5,4,2,7,3,6]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,6,1,4,3,2]=>[1,5,4,2,7,3,6]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,6,2,1,3,4]=>[1,5,2,7,4,3,6]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,6,2,1,4,3]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,6,2,3,1,4]=>[1,5,3,6,2,7,4]=>[5,3,7,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,6,2,3,4,1]=>[1,5,3,6,4,2,7]=>[6,3,5,2,4,7,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,6,2,4,1,3]=>[1,5,4,2,7,3,6]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,6,2,4,3,1]=>[1,5,4,2,7,3,6]=>[4,6,3,2,7,5,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[5,7,6,3,1,2,4]=>[1,5,2,7,4,3,6]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,6,3,1,4,2]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,6,3,2,1,4]=>[1,5,2,7,4,3,6]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[5,7,6,3,2,4,1]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,6,3,4,1,2]=>[1,5,4,3,6,2,7]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,7,6,3,4,2,1]=>[1,5,4,3,6,2,7]=>[6,4,3,2,5,7,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[5,7,6,4,1,2,3]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,6,4,1,3,2]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,6,4,2,1,3]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,6,4,2,3,1]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[5,7,6,4,3,1,2]=>[1,5,3,6,2,7,4]=>[5,3,7,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[5,7,6,4,3,2,1]=>[1,5,3,6,2,7,4]=>[5,3,7,2,4,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[6,1,2,3,4,5,7]=>[1,6,5,4,3,2,7]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,1,2,3,4,7,5]=>[1,6,7,5,4,3,2]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,1,2,3,5,4,7]=>[1,6,4,3,2,5,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,2,3,5,7,4]=>[1,6,7,4,3,2,5]=>[6,5,4,7,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,2,3,7,4,5]=>[1,6,4,3,2,5,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,2,3,7,5,4]=>[1,6,5,7,4,3,2]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,1,2,4,3,5,7]=>[1,6,5,3,2,4,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,2,4,3,7,5]=>[1,6,7,5,3,2,4]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,2,4,5,3,7]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,2,4,5,7,3]=>[1,6,7,3,2,4,5]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,2,4,7,3,5]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,2,4,7,5,3]=>[1,6,5,7,3,2,4]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,2,5,3,4,7]=>[1,6,4,5,3,2,7]=>[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,2,5,3,7,4]=>[1,6,7,4,5,3,2]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,2,5,4,3,7]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,2,5,4,7,3]=>[1,6,7,3,2,4,5]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,2,5,7,3,4]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,2,5,7,4,3]=>[1,6,4,5,7,3,2]=>[7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,2,7,3,4,5]=>[1,6,4,7,5,3,2]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,2,7,3,5,4]=>[1,6,5,3,2,4,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,2,7,4,3,5]=>[1,6,3,2,4,7,5]=>[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,2,7,4,5,3]=>[1,6,5,4,7,3,2]=>[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,1,2,7,5,3,4]=>[1,6,3,2,4,7,5]=>[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,2,7,5,4,3]=>[1,6,4,7,3,2,5]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,3,2,4,5,7]=>[1,6,5,4,2,3,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,1,3,2,4,7,5]=>[1,6,7,5,4,2,3]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,1,3,2,5,4,7]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,3,2,5,7,4]=>[1,6,7,4,2,3,5]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,3,2,7,4,5]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,3,2,7,5,4]=>[1,6,5,7,4,2,3]=>[6,7,5,3,2,4,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,1,3,4,2,5,7]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,1,3,4,2,7,5]=>[1,6,7,5,2,3,4]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,1,3,4,5,2,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,3,4,5,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,3,4,7,2,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,3,4,7,5,2]=>[1,6,5,7,2,3,4]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,1,3,5,2,4,7]=>[1,6,4,5,2,3,7]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,3,5,2,7,4]=>[1,6,7,4,5,2,3]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,3,5,4,2,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,3,5,4,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,3,5,7,2,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,3,5,7,4,2]=>[1,6,4,5,7,2,3]=>[6,7,3,4,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,3,7,2,4,5]=>[1,6,4,7,5,2,3]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,3,7,2,5,4]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,1,3,7,4,2,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,3,7,4,5,2]=>[1,6,5,4,7,2,3]=>[6,7,4,3,2,5,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,1,3,7,5,2,4]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,3,7,5,4,2]=>[1,6,4,7,2,3,5]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,4,2,3,5,7]=>[1,6,5,3,4,2,7]=>[6,4,5,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,4,2,3,7,5]=>[1,6,7,5,3,4,2]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,4,2,5,3,7]=>[1,6,3,4,2,5,7]=>[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,4,2,5,7,3]=>[1,6,7,3,4,2,5]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,4,2,7,3,5]=>[1,6,3,4,2,5,7]=>[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,4,2,7,5,3]=>[1,6,5,7,3,4,2]=>[7,5,6,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,4,3,2,5,7]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,1,4,3,2,7,5]=>[1,6,7,5,2,3,4]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,1,4,3,5,2,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,4,3,5,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,4,3,7,2,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,4,3,7,5,2]=>[1,6,5,7,2,3,4]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,1,4,5,2,3,7]=>[1,6,3,4,5,2,7]=>[6,3,4,5,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,4,5,2,7,3]=>[1,6,7,3,4,5,2]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,4,5,3,2,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,4,5,3,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,4,5,7,3,2]=>[1,6,3,4,5,7,2]=>[7,3,4,5,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,4,7,2,3,5]=>[1,6,3,4,7,5,2]=>[7,3,4,6,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,4,7,2,5,3]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,1,4,7,3,2,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,4,7,3,5,2]=>[1,6,5,3,4,7,2]=>[7,4,5,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,4,7,5,3,2]=>[1,6,3,4,7,2,5]=>[6,3,4,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,5,2,3,4,7]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,5,2,3,7,4]=>[1,6,7,4,2,3,5]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,5,2,4,3,7]=>[1,6,3,5,4,2,7]=>[6,3,5,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,1,5,2,4,7,3]=>[1,6,7,3,5,4,2]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,1,5,2,7,3,4]=>[1,6,3,5,7,4,2]=>[7,3,6,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,1,5,2,7,4,3]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,5,3,2,4,7]=>[1,6,4,3,5,2,7]=>[6,4,3,5,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,5,3,2,7,4]=>[1,6,7,4,3,5,2]=>[7,5,4,6,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,5,3,4,2,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,1,5,3,4,7,2]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,1,5,3,7,2,4]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,1,5,3,7,4,2]=>[1,6,4,3,5,7,2]=>[7,4,3,5,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,5,4,2,3,7]=>[1,6,3,5,2,4,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,1,5,4,2,7,3]=>[1,6,7,3,5,2,4]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,1,5,4,3,2,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,1,5,4,3,7,2]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,1,5,4,7,2,3]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,1,5,4,7,3,2]=>[1,6,3,5,7,2,4]=>[6,3,7,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,1,5,7,2,3,4]=>[1,6,3,5,2,4,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,1,5,7,2,4,3]=>[1,6,4,7,3,5,2]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,5,7,3,2,4]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,1,5,7,3,4,2]=>[1,6,4,7,2,3,5]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,5,7,4,2,3]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,1,5,7,4,3,2]=>[1,6,3,5,4,7,2]=>[7,3,5,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,1,7,2,3,4,5]=>[1,6,4,2,3,7,5]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,7,2,3,5,4]=>[1,6,5,3,7,4,2]=>[7,4,6,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,7,2,4,3,5]=>[1,6,3,7,5,4,2]=>[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,1,7,2,4,5,3]=>[1,6,5,4,2,3,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,1,7,2,5,3,4]=>[1,6,3,7,4,2,5]=>[6,3,5,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,7,2,5,4,3]=>[1,6,4,2,3,7,5]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,7,3,2,4,5]=>[1,6,4,3,7,5,2]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,7,3,2,5,4]=>[1,6,5,2,3,7,4]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,1,7,3,4,2,5]=>[1,6,2,3,7,5,4]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,1,7,3,4,5,2]=>[1,6,5,4,3,7,2]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,1,7,3,5,2,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,7,3,5,4,2]=>[1,6,4,3,7,2,5]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,7,4,2,3,5]=>[1,6,3,7,5,2,4]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,1,7,4,2,5,3]=>[1,6,5,2,3,7,4]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,1,7,4,3,2,5]=>[1,6,2,3,7,5,4]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,1,7,4,3,5,2]=>[1,6,5,3,7,2,4]=>[6,4,7,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,1,7,4,5,2,3]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,7,4,5,3,2]=>[1,6,3,7,2,4,5]=>[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,7,5,2,3,4]=>[1,6,3,7,4,5,2]=>[7,3,5,6,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,1,7,5,2,4,3]=>[1,6,4,5,2,3,7]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,1,7,5,3,2,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,7,5,3,4,2]=>[1,6,4,5,3,7,2]=>[7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,1,7,5,4,2,3]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,1,7,5,4,3,2]=>[1,6,3,7,2,4,5]=>[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,1,3,4,5,7]=>[1,6,5,4,3,2,7]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,1,3,4,7,5]=>[1,6,7,5,4,3,2]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,1,3,5,4,7]=>[1,6,4,3,2,5,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,1,3,5,7,4]=>[1,6,7,4,3,2,5]=>[6,5,4,7,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,1,3,7,4,5]=>[1,6,4,3,2,5,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,1,3,7,5,4]=>[1,6,5,7,4,3,2]=>[7,6,5,3,2,4,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,1,4,3,5,7]=>[1,6,5,3,2,4,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,1,4,3,7,5]=>[1,6,7,5,3,2,4]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,1,4,5,3,7]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,1,4,5,7,3]=>[1,6,7,3,2,4,5]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,1,4,7,3,5]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,1,4,7,5,3]=>[1,6,5,7,3,2,4]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,1,5,3,4,7]=>[1,6,4,5,3,2,7]=>[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,1,5,3,7,4]=>[1,6,7,4,5,3,2]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,1,5,4,3,7]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,1,5,4,7,3]=>[1,6,7,3,2,4,5]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,1,5,7,3,4]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,1,5,7,4,3]=>[1,6,4,5,7,3,2]=>[7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,1,7,3,4,5]=>[1,6,4,7,5,3,2]=>[7,6,3,5,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,1,7,3,5,4]=>[1,6,5,3,2,4,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,1,7,4,3,5]=>[1,6,3,2,4,7,5]=>[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,1,7,4,5,3]=>[1,6,5,4,7,3,2]=>[7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,1,7,5,3,4]=>[1,6,3,2,4,7,5]=>[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,1,7,5,4,3]=>[1,6,4,7,3,2,5]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,3,1,4,5,7]=>[1,6,5,4,2,3,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,2,3,1,4,7,5]=>[1,6,7,5,4,2,3]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,2,3,1,5,4,7]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,1,5,7,4]=>[1,6,7,4,2,3,5]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,1,7,4,5]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,1,7,5,4]=>[1,6,5,7,4,2,3]=>[6,7,5,3,2,4,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,2,3,4,1,5,7]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,2,3,4,1,7,5]=>[1,6,7,5,2,3,4]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,2,3,4,5,1,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,3,4,5,7,1]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,3,4,7,1,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,3,4,7,5,1]=>[1,6,5,7,2,3,4]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,2,3,5,1,4,7]=>[1,6,4,5,2,3,7]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,5,1,7,4]=>[1,6,7,4,5,2,3]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,5,4,1,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,3,5,4,7,1]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,3,5,7,1,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,3,5,7,4,1]=>[1,6,4,5,7,2,3]=>[6,7,3,4,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,7,1,4,5]=>[1,6,4,7,5,2,3]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,3,7,1,5,4]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,2,3,7,4,1,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,3,7,4,5,1]=>[1,6,5,4,7,2,3]=>[6,7,4,3,2,5,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,2,3,7,5,1,4]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,3,7,5,4,1]=>[1,6,4,7,2,3,5]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,4,1,3,5,7]=>[1,6,5,3,4,2,7]=>[6,4,5,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,4,1,3,7,5]=>[1,6,7,5,3,4,2]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,4,1,5,3,7]=>[1,6,3,4,2,5,7]=>[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,4,1,5,7,3]=>[1,6,7,3,4,2,5]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,4,1,7,3,5]=>[1,6,3,4,2,5,7]=>[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,4,1,7,5,3]=>[1,6,5,7,3,4,2]=>[7,5,6,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,4,3,1,5,7]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,2,4,3,1,7,5]=>[1,6,7,5,2,3,4]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,2,4,3,5,1,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,4,3,5,7,1]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,4,3,7,1,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,4,3,7,5,1]=>[1,6,5,7,2,3,4]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,2,4,5,1,3,7]=>[1,6,3,4,5,2,7]=>[6,3,4,5,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,4,5,1,7,3]=>[1,6,7,3,4,5,2]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,4,5,3,1,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,4,5,3,7,1]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,4,5,7,1,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,4,5,7,3,1]=>[1,6,3,4,5,7,2]=>[7,3,4,5,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,4,7,1,3,5]=>[1,6,3,4,7,5,2]=>[7,3,4,6,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,4,7,1,5,3]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,2,4,7,3,1,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,4,7,3,5,1]=>[1,6,5,3,4,7,2]=>[7,4,5,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,4,7,5,1,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,4,7,5,3,1]=>[1,6,3,4,7,2,5]=>[6,3,4,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,5,1,3,4,7]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,5,1,3,7,4]=>[1,6,7,4,2,3,5]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,5,1,4,3,7]=>[1,6,3,5,4,2,7]=>[6,3,5,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,2,5,1,4,7,3]=>[1,6,7,3,5,4,2]=>[7,4,6,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,2,5,1,7,3,4]=>[1,6,3,5,7,4,2]=>[7,3,6,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,2,5,1,7,4,3]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,5,3,1,4,7]=>[1,6,4,3,5,2,7]=>[6,4,3,5,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,5,3,1,7,4]=>[1,6,7,4,3,5,2]=>[7,5,4,6,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,5,3,4,1,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,2,5,3,4,7,1]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,2,5,3,7,1,4]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,2,5,3,7,4,1]=>[1,6,4,3,5,7,2]=>[7,4,3,5,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,5,4,1,3,7]=>[1,6,3,5,2,4,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,2,5,4,1,7,3]=>[1,6,7,3,5,2,4]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,2,5,4,3,1,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,2,5,4,3,7,1]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,2,5,4,7,1,3]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,2,5,4,7,3,1]=>[1,6,3,5,7,2,4]=>[6,3,7,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,2,5,7,1,3,4]=>[1,6,3,5,2,4,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,2,5,7,1,4,3]=>[1,6,4,7,3,5,2]=>[7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,5,7,3,1,4]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,2,5,7,3,4,1]=>[1,6,4,7,2,3,5]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,5,7,4,1,3]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,2,5,7,4,3,1]=>[1,6,3,5,4,7,2]=>[7,3,5,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,2,7,1,3,4,5]=>[1,6,4,2,3,7,5]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,7,1,3,5,4]=>[1,6,5,3,7,4,2]=>[7,4,6,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,7,1,4,3,5]=>[1,6,3,7,5,4,2]=>[7,3,6,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,2,7,1,4,5,3]=>[1,6,5,4,2,3,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,2,7,1,5,3,4]=>[1,6,3,7,4,2,5]=>[6,3,5,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,7,1,5,4,3]=>[1,6,4,2,3,7,5]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,7,3,1,4,5]=>[1,6,4,3,7,5,2]=>[7,4,3,6,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,7,3,1,5,4]=>[1,6,5,2,3,7,4]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,2,7,3,4,1,5]=>[1,6,2,3,7,5,4]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,2,7,3,4,5,1]=>[1,6,5,4,3,7,2]=>[7,5,4,3,2,6,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,2,7,3,5,1,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,7,3,5,4,1]=>[1,6,4,3,7,2,5]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,7,4,1,3,5]=>[1,6,3,7,5,2,4]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,2,7,4,1,5,3]=>[1,6,5,2,3,7,4]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,2,7,4,3,1,5]=>[1,6,2,3,7,5,4]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,2,7,4,3,5,1]=>[1,6,5,3,7,2,4]=>[6,4,7,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,2,7,4,5,1,3]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,7,4,5,3,1]=>[1,6,3,7,2,4,5]=>[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,7,5,1,3,4]=>[1,6,3,7,4,5,2]=>[7,3,5,6,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,2,7,5,1,4,3]=>[1,6,4,5,2,3,7]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,2,7,5,3,1,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,7,5,3,4,1]=>[1,6,4,5,3,7,2]=>[7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,2,7,5,4,1,3]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,2,7,5,4,3,1]=>[1,6,3,7,2,4,5]=>[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,3,1,2,4,5,7]=>[1,6,5,4,2,3,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,1,2,4,7,5]=>[1,6,7,5,4,2,3]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,1,2,5,4,7]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,2,5,7,4]=>[1,6,7,4,2,3,5]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,2,7,4,5]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,2,7,5,4]=>[1,6,5,7,4,2,3]=>[6,7,5,3,2,4,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,1,4,2,5,7]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,1,4,2,7,5]=>[1,6,7,5,2,3,4]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,1,4,5,2,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,4,5,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,4,7,2,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,4,7,5,2]=>[1,6,5,7,2,3,4]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,1,5,2,4,7]=>[1,6,4,5,2,3,7]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,5,2,7,4]=>[1,6,7,4,5,2,3]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,5,4,2,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,5,4,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,5,7,2,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,5,7,4,2]=>[1,6,4,5,7,2,3]=>[6,7,3,4,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,7,2,4,5]=>[1,6,4,7,5,2,3]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,1,7,2,5,4]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,1,7,4,2,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,7,4,5,2]=>[1,6,5,4,7,2,3]=>[6,7,4,3,2,5,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,1,7,5,2,4]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,1,7,5,4,2]=>[1,6,4,7,2,3,5]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,4,5,7]=>[1,6,5,4,2,3,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,2,1,4,7,5]=>[1,6,7,5,4,2,3]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,2,1,5,4,7]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,5,7,4]=>[1,6,7,4,2,3,5]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,7,4,5]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,1,7,5,4]=>[1,6,5,7,4,2,3]=>[6,7,5,3,2,4,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,2,4,1,5,7]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,2,4,1,7,5]=>[1,6,7,5,2,3,4]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,2,4,5,1,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,4,5,7,1]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,4,7,1,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,4,7,5,1]=>[1,6,5,7,2,3,4]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,2,5,1,4,7]=>[1,6,4,5,2,3,7]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,5,1,7,4]=>[1,6,7,4,5,2,3]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,5,4,1,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,5,4,7,1]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,5,7,1,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,5,7,4,1]=>[1,6,4,5,7,2,3]=>[6,7,3,4,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,7,1,4,5]=>[1,6,4,7,5,2,3]=>[6,7,3,5,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,2,7,1,5,4]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,2,7,4,1,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,7,4,5,1]=>[1,6,5,4,7,2,3]=>[6,7,4,3,2,5,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,2,7,5,1,4]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,2,7,5,4,1]=>[1,6,4,7,2,3,5]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,4,1,2,5,7]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,1,2,7,5]=>[1,6,7,5,2,3,4]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,1,5,2,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,1,5,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,1,7,2,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,1,7,5,2]=>[1,6,5,7,2,3,4]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,2,1,5,7]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,2,1,7,5]=>[1,6,7,5,2,3,4]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,2,5,1,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,2,5,7,1]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,2,7,1,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,2,7,5,1]=>[1,6,5,7,2,3,4]=>[5,6,7,3,2,4,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,5,1,2,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,5,1,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,5,2,1,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,5,2,7,1]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,5,7,1,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,5,7,2,1]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,7,1,2,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,7,1,5,2]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,7,2,1,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,7,2,5,1]=>[1,6,5,2,3,4,7]=>[4,5,6,3,2,7,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,4,7,5,1,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,4,7,5,2,1]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,5,1,2,4,7]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,1,2,7,4]=>[1,6,7,4,2,3,5]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,1,4,2,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,1,4,7,2]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,1,7,2,4]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,1,7,4,2]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,2,1,4,7]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,2,1,7,4]=>[1,6,7,4,2,3,5]=>[5,6,4,7,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,2,4,1,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,2,4,7,1]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,2,7,1,4]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,2,7,4,1]=>[1,6,4,2,3,5,7]=>[4,5,3,6,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,4,1,2,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,4,1,7,2]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,4,2,1,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,4,2,7,1]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,4,7,1,2]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,4,7,2,1]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,7,1,2,4]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,7,1,4,2]=>[1,6,4,7,2,3,5]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,7,2,1,4]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,7,2,4,1]=>[1,6,4,7,2,3,5]=>[5,6,3,7,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,5,7,4,1,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,5,7,4,2,1]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,7,1,2,4,5]=>[1,6,4,2,3,7,5]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,7,1,2,5,4]=>[1,6,5,2,3,7,4]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,7,1,4,2,5]=>[1,6,2,3,7,5,4]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,7,1,4,5,2]=>[1,6,5,4,2,3,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,7,1,5,2,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,7,1,5,4,2]=>[1,6,4,2,3,7,5]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,7,2,1,4,5]=>[1,6,4,2,3,7,5]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,7,2,1,5,4]=>[1,6,5,2,3,7,4]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,7,2,4,1,5]=>[1,6,2,3,7,5,4]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,7,2,4,5,1]=>[1,6,5,4,2,3,7]=>[5,6,4,3,2,7,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,3,7,2,5,1,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,7,2,5,4,1]=>[1,6,4,2,3,7,5]=>[4,5,3,7,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,7,4,1,2,5]=>[1,6,2,3,7,5,4]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,7,4,1,5,2]=>[1,6,5,2,3,7,4]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,7,4,2,1,5]=>[1,6,2,3,7,5,4]=>[3,4,7,6,2,5,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,3,7,4,2,5,1]=>[1,6,5,2,3,7,4]=>[4,5,7,3,2,6,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,3,7,4,5,1,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,7,4,5,2,1]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,7,5,1,2,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,7,5,1,4,2]=>[1,6,4,5,2,3,7]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,7,5,2,1,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,7,5,2,4,1]=>[1,6,4,5,2,3,7]=>[5,6,3,4,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,3,7,5,4,1,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,3,7,5,4,2,1]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,4,1,2,3,5,7]=>[1,6,5,3,2,4,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,1,2,3,7,5]=>[1,6,7,5,3,2,4]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,1,2,5,3,7]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,1,2,5,7,3]=>[1,6,7,3,2,4,5]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,1,2,7,3,5]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,1,2,7,5,3]=>[1,6,5,7,3,2,4]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,1,3,2,5,7]=>[1,6,5,2,4,3,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,1,3,2,7,5]=>[1,6,7,5,2,4,3]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,1,3,5,2,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,3,5,7,2]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,3,7,2,5]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,3,7,5,2]=>[1,6,5,7,2,4,3]=>[5,7,6,3,2,4,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,1,5,2,3,7]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,1,5,2,7,3]=>[1,6,7,3,2,4,5]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,1,5,3,2,7]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,5,3,7,2]=>[1,6,7,2,4,5,3]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,5,7,2,3]=>[1,6,2,4,5,7,3]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,5,7,3,2]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,1,7,2,3,5]=>[1,6,3,2,4,7,5]=>[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,1,7,2,5,3]=>[1,6,5,2,4,7,3]=>[4,7,5,3,2,6,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,1,7,3,2,5]=>[1,6,2,4,7,5,3]=>[3,7,4,6,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,7,3,5,2]=>[1,6,5,3,2,4,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,1,7,5,2,3]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,1,7,5,3,2]=>[1,6,3,2,4,7,5]=>[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,2,1,3,5,7]=>[1,6,5,3,2,4,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,2,1,3,7,5]=>[1,6,7,5,3,2,4]=>[6,5,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,2,1,5,3,7]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,2,1,5,7,3]=>[1,6,7,3,2,4,5]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,2,1,7,3,5]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,2,1,7,5,3]=>[1,6,5,7,3,2,4]=>[6,5,7,3,2,4,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,2,3,1,5,7]=>[1,6,5,2,4,3,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,2,3,1,7,5]=>[1,6,7,5,2,4,3]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,2,3,5,1,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,3,5,7,1]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,3,7,1,5]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,3,7,5,1]=>[1,6,5,7,2,4,3]=>[5,7,6,3,2,4,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,2,5,1,3,7]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,2,5,1,7,3]=>[1,6,7,3,2,4,5]=>[5,4,6,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,2,5,3,1,7]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,5,3,7,1]=>[1,6,7,2,4,5,3]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,5,7,1,3]=>[1,6,2,4,5,7,3]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,5,7,3,1]=>[1,6,3,2,4,5,7]=>[4,3,5,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,2,7,1,3,5]=>[1,6,3,2,4,7,5]=>[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,2,7,1,5,3]=>[1,6,5,2,4,7,3]=>[4,7,5,3,2,6,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,2,7,3,1,5]=>[1,6,2,4,7,5,3]=>[3,7,4,6,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,7,3,5,1]=>[1,6,5,3,2,4,7]=>[5,4,6,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,2,7,5,1,3]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,2,7,5,3,1]=>[1,6,3,2,4,7,5]=>[4,3,5,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,3,1,2,5,7]=>[1,6,5,2,4,3,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,1,2,7,5]=>[1,6,7,5,2,4,3]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,1,5,2,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,1,5,7,2]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,1,7,2,5]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,1,7,5,2]=>[1,6,5,7,2,4,3]=>[5,7,6,3,2,4,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,2,1,5,7]=>[1,6,5,2,4,3,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,2,1,7,5]=>[1,6,7,5,2,4,3]=>[5,7,6,4,2,3,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,2,5,1,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,2,5,7,1]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,2,7,1,5]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,2,7,5,1]=>[1,6,5,7,2,4,3]=>[5,7,6,3,2,4,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,5,1,2,7]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,1,7,2]=>[1,6,7,2,4,5,3]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,2,1,7]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,2,7,1]=>[1,6,7,2,4,5,3]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,7,1,2]=>[1,6,2,4,5,7,3]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,5,7,2,1]=>[1,6,2,4,5,7,3]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,7,1,2,5]=>[1,6,2,4,7,5,3]=>[3,7,4,6,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,7,1,5,2]=>[1,6,5,2,4,7,3]=>[4,7,5,3,2,6,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,7,2,1,5]=>[1,6,2,4,7,5,3]=>[3,7,4,6,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,7,2,5,1]=>[1,6,5,2,4,7,3]=>[4,7,5,3,2,6,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,3,7,5,1,2]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,3,7,5,2,1]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,1,2,3,7]=>[1,6,3,5,2,4,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,5,1,2,7,3]=>[1,6,7,3,5,2,4]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,5,1,3,2,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,1,3,7,2]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,1,7,2,3]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,1,7,3,2]=>[1,6,3,5,7,2,4]=>[6,3,7,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,5,2,1,3,7]=>[1,6,3,5,2,4,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,5,2,1,7,3]=>[1,6,7,3,5,2,4]=>[6,4,7,5,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,5,2,3,1,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,2,3,7,1]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,2,7,1,3]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,2,7,3,1]=>[1,6,3,5,7,2,4]=>[6,3,7,4,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,5,3,1,2,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,1,7,2]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,2,1,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,2,7,1]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,7,1,2]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,3,7,2,1]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,7,1,2,3]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,7,1,3,2]=>[1,6,3,5,2,4,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,5,7,2,1,3]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,7,2,3,1]=>[1,6,3,5,2,4,7]=>[5,3,6,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,5,7,3,1,2]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,5,7,3,2,1]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,1,2,3,5]=>[1,6,3,7,5,2,4]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,7,1,2,5,3]=>[1,6,5,2,4,3,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,7,1,3,2,5]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,1,3,5,2]=>[1,6,5,3,7,2,4]=>[6,4,7,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,7,1,5,2,3]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,1,5,3,2]=>[1,6,3,7,2,4,5]=>[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,7,2,1,3,5]=>[1,6,3,7,5,2,4]=>[6,3,7,5,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,4,7,2,1,5,3]=>[1,6,5,2,4,3,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,7,2,3,1,5]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,2,3,5,1]=>[1,6,5,3,7,2,4]=>[6,4,7,3,2,5,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,4,7,2,5,1,3]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,2,5,3,1]=>[1,6,3,7,2,4,5]=>[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,7,3,1,2,5]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,3,1,5,2]=>[1,6,5,2,4,3,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,7,3,2,1,5]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,3,2,5,1]=>[1,6,5,2,4,3,7]=>[4,6,5,3,2,7,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,4,7,3,5,1,2]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,3,5,2,1]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,5,1,2,3]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,5,1,3,2]=>[1,6,3,7,2,4,5]=>[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,7,5,2,1,3]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,5,2,3,1]=>[1,6,3,7,2,4,5]=>[5,3,6,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,4,7,5,3,1,2]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,4,7,5,3,2,1]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,5,1,2,3,4,7]=>[1,6,4,2,5,3,7]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,1,2,3,7,4]=>[1,6,7,4,2,5,3]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,1,2,4,3,7]=>[1,6,3,2,5,4,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,2,4,7,3]=>[1,6,7,3,2,5,4]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,2,7,3,4]=>[1,6,3,2,5,7,4]=>[4,3,7,5,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,2,7,4,3]=>[1,6,4,2,5,7,3]=>[4,7,3,5,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,1,3,2,4,7]=>[1,6,4,3,2,5,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,3,2,7,4]=>[1,6,7,4,3,2,5]=>[6,5,4,7,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,3,4,2,7]=>[1,6,2,5,4,3,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,1,3,4,7,2]=>[1,6,7,2,5,4,3]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,1,3,7,2,4]=>[1,6,2,5,7,4,3]=>[3,7,6,4,2,5,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,1,3,7,4,2]=>[1,6,4,3,2,5,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,4,2,3,7]=>[1,6,3,2,5,4,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,4,2,7,3]=>[1,6,7,3,2,5,4]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,4,3,2,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,4,3,7,2]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,4,7,2,3]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,4,7,3,2]=>[1,6,3,2,5,7,4]=>[4,3,7,5,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,7,2,3,4]=>[1,6,3,2,5,4,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,1,7,2,4,3]=>[1,6,4,7,3,2,5]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,1,7,3,2,4]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,1,7,3,4,2]=>[1,6,4,7,2,5,3]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,1,7,4,2,3]=>[1,6,2,5,4,7,3]=>[3,7,5,4,2,6,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,1,7,4,3,2]=>[1,6,3,2,5,4,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,3,4,7]=>[1,6,4,2,5,3,7]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,1,3,7,4]=>[1,6,7,4,2,5,3]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,1,4,3,7]=>[1,6,3,2,5,4,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,4,7,3]=>[1,6,7,3,2,5,4]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,7,3,4]=>[1,6,3,2,5,7,4]=>[4,3,7,5,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,1,7,4,3]=>[1,6,4,2,5,7,3]=>[4,7,3,5,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,3,1,4,7]=>[1,6,4,3,2,5,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,3,1,7,4]=>[1,6,7,4,3,2,5]=>[6,5,4,7,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,3,4,1,7]=>[1,6,2,5,4,3,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,3,4,7,1]=>[1,6,7,2,5,4,3]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,3,7,1,4]=>[1,6,2,5,7,4,3]=>[3,7,6,4,2,5,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,3,7,4,1]=>[1,6,4,3,2,5,7]=>[5,4,3,6,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,4,1,3,7]=>[1,6,3,2,5,4,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,4,1,7,3]=>[1,6,7,3,2,5,4]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,4,3,1,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,4,3,7,1]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,4,7,1,3]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,4,7,3,1]=>[1,6,3,2,5,7,4]=>[4,3,7,5,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,7,1,3,4]=>[1,6,3,2,5,4,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,2,7,1,4,3]=>[1,6,4,7,3,2,5]=>[6,5,3,7,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,2,7,3,1,4]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,2,7,3,4,1]=>[1,6,4,7,2,5,3]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,2,7,4,1,3]=>[1,6,2,5,4,7,3]=>[3,7,5,4,2,6,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,2,7,4,3,1]=>[1,6,3,2,5,4,7]=>[4,3,6,5,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,3,1,2,4,7]=>[1,6,4,2,5,3,7]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,1,2,7,4]=>[1,6,7,4,2,5,3]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,1,4,2,7]=>[1,6,2,5,4,3,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,1,4,7,2]=>[1,6,7,2,5,4,3]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,1,7,2,4]=>[1,6,2,5,7,4,3]=>[3,7,6,4,2,5,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,1,7,4,2]=>[1,6,4,2,5,7,3]=>[4,7,3,5,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,2,1,4,7]=>[1,6,4,2,5,3,7]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,2,1,7,4]=>[1,6,7,4,2,5,3]=>[5,7,4,6,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,2,4,1,7]=>[1,6,2,5,4,3,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,2,4,7,1]=>[1,6,7,2,5,4,3]=>[4,7,6,5,2,3,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,2,7,1,4]=>[1,6,2,5,7,4,3]=>[3,7,6,4,2,5,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,2,7,4,1]=>[1,6,4,2,5,7,3]=>[4,7,3,5,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,4,1,2,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,1,7,2]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,2,1,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,2,7,1]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,7,1,2]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,4,7,2,1]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,7,1,2,4]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,7,1,4,2]=>[1,6,4,7,2,5,3]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,7,2,1,4]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,3,7,2,4,1]=>[1,6,4,7,2,5,3]=>[5,7,3,6,2,4,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,3,7,4,1,2]=>[1,6,2,5,4,7,3]=>[3,7,5,4,2,6,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,3,7,4,2,1]=>[1,6,2,5,4,7,3]=>[3,7,5,4,2,6,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,4,1,2,3,7]=>[1,6,3,4,2,5,7]=>[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,1,2,7,3]=>[1,6,7,3,4,2,5]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,1,3,2,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,1,3,7,2]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,1,7,2,3]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,1,7,3,2]=>[1,6,3,4,2,5,7]=>[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,2,1,3,7]=>[1,6,3,4,2,5,7]=>[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,2,1,7,3]=>[1,6,7,3,4,2,5]=>[6,4,5,7,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,2,3,1,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,2,3,7,1]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,2,7,1,3]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,2,7,3,1]=>[1,6,3,4,2,5,7]=>[5,3,4,6,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,3,1,2,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,1,7,2]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,2,1,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,2,7,1]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,7,1,2]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,3,7,2,1]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,1,2,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,1,3,2]=>[1,6,3,4,7,2,5]=>[6,3,4,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,7,2,1,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,2,3,1]=>[1,6,3,4,7,2,5]=>[6,3,4,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,4,7,3,1,2]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,4,7,3,2,1]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,1,2,3,4]=>[1,6,3,7,4,2,5]=>[6,3,5,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,7,1,2,4,3]=>[1,6,4,2,5,3,7]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,1,3,2,4]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,1,3,4,2]=>[1,6,4,2,5,3,7]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,1,4,2,3]=>[1,6,2,5,4,3,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,1,4,3,2]=>[1,6,3,7,2,5,4]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,2,1,3,4]=>[1,6,3,7,4,2,5]=>[6,3,5,7,2,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,5,7,2,1,4,3]=>[1,6,4,2,5,3,7]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,2,3,1,4]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,2,3,4,1]=>[1,6,4,2,5,3,7]=>[4,6,3,5,2,7,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,5,7,2,4,1,3]=>[1,6,2,5,4,3,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,2,4,3,1]=>[1,6,3,7,2,5,4]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,3,1,2,4]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,3,1,4,2]=>[1,6,4,3,7,2,5]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,7,3,2,1,4]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,3,2,4,1]=>[1,6,4,3,7,2,5]=>[6,4,3,7,2,5,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,5,7,3,4,1,2]=>[1,6,2,5,4,3,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,3,4,2,1]=>[1,6,2,5,4,3,7]=>[3,6,5,4,2,7,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,5,7,4,1,2,3]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,4,1,3,2]=>[1,6,3,7,2,5,4]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,4,2,1,3]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,4,2,3,1]=>[1,6,3,7,2,5,4]=>[5,3,7,6,2,4,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,5,7,4,3,1,2]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,5,7,4,3,2,1]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,1,2,3,4,5]=>[1,6,4,2,7,5,3]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,1,2,3,5,4]=>[1,6,5,3,2,7,4]=>[5,4,7,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,7,1,2,4,3,5]=>[1,6,3,2,7,5,4]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,1,2,4,5,3]=>[1,6,5,4,2,7,3]=>[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,7,1,2,5,3,4]=>[1,6,3,2,7,4,5]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,1,2,5,4,3]=>[1,6,4,2,7,3,5]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,1,3,2,4,5]=>[1,6,4,3,2,7,5]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,7,1,3,2,5,4]=>[1,6,5,2,7,4,3]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,7,1,3,4,2,5]=>[1,6,2,7,5,4,3]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,7,1,3,4,5,2]=>[1,6,5,4,3,2,7]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,7,1,3,5,2,4]=>[1,6,2,7,4,3,5]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,1,3,5,4,2]=>[1,6,4,3,2,7,5]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,7,1,4,2,3,5]=>[1,6,3,2,7,5,4]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,1,4,2,5,3]=>[1,6,5,2,7,3,4]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,7,1,4,3,2,5]=>[1,6,2,7,5,3,4]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,1,4,3,5,2]=>[1,6,5,3,2,7,4]=>[5,4,7,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,7,1,4,5,2,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,1,4,5,3,2]=>[1,6,3,2,7,4,5]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,1,5,2,3,4]=>[1,6,3,2,7,4,5]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,1,5,2,4,3]=>[1,6,4,5,2,7,3]=>[5,7,3,4,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,1,5,3,2,4]=>[1,6,2,7,4,5,3]=>[3,7,5,6,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,1,5,3,4,2]=>[1,6,4,5,3,2,7]=>[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,7,1,5,4,2,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,1,5,4,3,2]=>[1,6,3,2,7,4,5]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,2,1,3,4,5]=>[1,6,4,2,7,5,3]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,2,1,3,5,4]=>[1,6,5,3,2,7,4]=>[5,4,7,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,7,2,1,4,3,5]=>[1,6,3,2,7,5,4]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,2,1,4,5,3]=>[1,6,5,4,2,7,3]=>[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,7,2,1,5,3,4]=>[1,6,3,2,7,4,5]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,2,1,5,4,3]=>[1,6,4,2,7,3,5]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,2,3,1,4,5]=>[1,6,4,3,2,7,5]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,7,2,3,1,5,4]=>[1,6,5,2,7,4,3]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,7,2,3,4,1,5]=>[1,6,2,7,5,4,3]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,7,2,3,4,5,1]=>[1,6,5,4,3,2,7]=>[6,5,4,3,2,7,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[6,7,2,3,5,1,4]=>[1,6,2,7,4,3,5]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,2,3,5,4,1]=>[1,6,4,3,2,7,5]=>[5,4,3,7,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,7,2,4,1,3,5]=>[1,6,3,2,7,5,4]=>[4,3,7,6,2,5,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,2,4,1,5,3]=>[1,6,5,2,7,3,4]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,7,2,4,3,1,5]=>[1,6,2,7,5,3,4]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,2,4,3,5,1]=>[1,6,5,3,2,7,4]=>[5,4,7,3,2,6,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,7,2,4,5,1,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,2,4,5,3,1]=>[1,6,3,2,7,4,5]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,2,5,1,3,4]=>[1,6,3,2,7,4,5]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,2,5,1,4,3]=>[1,6,4,5,2,7,3]=>[5,7,3,4,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,2,5,3,1,4]=>[1,6,2,7,4,5,3]=>[3,7,5,6,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,2,5,3,4,1]=>[1,6,4,5,3,2,7]=>[6,5,3,4,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,7,2,5,4,1,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,2,5,4,3,1]=>[1,6,3,2,7,4,5]=>[4,3,6,7,2,5,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,3,1,2,4,5]=>[1,6,4,2,7,5,3]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,1,2,5,4]=>[1,6,5,2,7,4,3]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,7,3,1,4,2,5]=>[1,6,2,7,5,4,3]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,7,3,1,4,5,2]=>[1,6,5,4,2,7,3]=>[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,7,3,1,5,2,4]=>[1,6,2,7,4,3,5]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,1,5,4,2]=>[1,6,4,2,7,3,5]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,2,1,4,5]=>[1,6,4,2,7,5,3]=>[4,7,3,6,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,2,1,5,4]=>[1,6,5,2,7,4,3]=>[4,7,6,3,2,5,1]=>[[[[.,[[.,.],.]],.],[.,.]],.]
[6,7,3,2,4,1,5]=>[1,6,2,7,5,4,3]=>[3,7,6,5,2,4,1]=>[[[.,[[[.,.],.],.]],[.,.]],.]
[6,7,3,2,4,5,1]=>[1,6,5,4,2,7,3]=>[5,7,4,3,2,6,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[6,7,3,2,5,1,4]=>[1,6,2,7,4,3,5]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,2,5,4,1]=>[1,6,4,2,7,3,5]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,4,1,2,5]=>[1,6,2,7,5,3,4]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,3,4,1,5,2]=>[1,6,5,2,7,3,4]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,7,3,4,2,1,5]=>[1,6,2,7,5,3,4]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,3,4,2,5,1]=>[1,6,5,2,7,3,4]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,7,3,4,5,1,2]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,3,4,5,2,1]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,3,5,1,2,4]=>[1,6,2,7,4,5,3]=>[3,7,5,6,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,5,1,4,2]=>[1,6,4,5,2,7,3]=>[5,7,3,4,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,5,2,1,4]=>[1,6,2,7,4,5,3]=>[3,7,5,6,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,3,5,2,4,1]=>[1,6,4,5,2,7,3]=>[5,7,3,4,2,6,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,3,5,4,1,2]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,3,5,4,2,1]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,4,1,2,3,5]=>[1,6,3,4,2,7,5]=>[5,3,4,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,4,1,2,5,3]=>[1,6,5,2,7,3,4]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,7,4,1,3,2,5]=>[1,6,2,7,5,3,4]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,4,1,3,5,2]=>[1,6,5,3,4,2,7]=>[6,4,5,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,7,4,1,5,2,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,4,1,5,3,2]=>[1,6,3,4,2,7,5]=>[5,3,4,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,4,2,1,3,5]=>[1,6,3,4,2,7,5]=>[5,3,4,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,4,2,1,5,3]=>[1,6,5,2,7,3,4]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,7,4,2,3,1,5]=>[1,6,2,7,5,3,4]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,4,2,3,5,1]=>[1,6,5,3,4,2,7]=>[6,4,5,3,2,7,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[6,7,4,2,5,1,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,4,2,5,3,1]=>[1,6,3,4,2,7,5]=>[5,3,4,7,2,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,4,3,1,2,5]=>[1,6,2,7,5,3,4]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,4,3,1,5,2]=>[1,6,5,2,7,3,4]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,7,4,3,2,1,5]=>[1,6,2,7,5,3,4]=>[3,6,7,5,2,4,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[6,7,4,3,2,5,1]=>[1,6,5,2,7,3,4]=>[4,6,7,3,2,5,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[6,7,4,3,5,1,2]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,4,3,5,2,1]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,4,5,1,2,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,4,5,1,3,2]=>[1,6,3,4,5,2,7]=>[6,3,4,5,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,4,5,2,1,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,4,5,2,3,1]=>[1,6,3,4,5,2,7]=>[6,3,4,5,2,7,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[6,7,4,5,3,1,2]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,4,5,3,2,1]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[6,7,5,1,2,3,4]=>[1,6,3,5,2,7,4]=>[5,3,7,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,5,1,2,4,3]=>[1,6,4,2,7,3,5]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,5,1,3,2,4]=>[1,6,2,7,4,3,5]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,5,1,3,4,2]=>[1,6,4,2,7,3,5]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,5,1,4,2,3]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,7,5,1,4,3,2]=>[1,6,3,5,4,2,7]=>[6,3,5,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,5,2,1,3,4]=>[1,6,3,5,2,7,4]=>[5,3,7,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,5,2,1,4,3]=>[1,6,4,2,7,3,5]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,5,2,3,1,4]=>[1,6,2,7,4,3,5]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,5,2,3,4,1]=>[1,6,4,2,7,3,5]=>[4,6,3,7,2,5,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[6,7,5,2,4,1,3]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,7,5,2,4,3,1]=>[1,6,3,5,4,2,7]=>[6,3,5,4,2,7,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,5,3,1,2,4]=>[1,6,2,7,4,3,5]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,5,3,1,4,2]=>[1,6,4,3,5,2,7]=>[6,4,3,5,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,7,5,3,2,1,4]=>[1,6,2,7,4,3,5]=>[3,6,5,7,2,4,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[6,7,5,3,2,4,1]=>[1,6,4,3,5,2,7]=>[6,4,3,5,2,7,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[6,7,5,3,4,1,2]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,7,5,3,4,2,1]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,7,5,4,1,2,3]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,7,5,4,1,3,2]=>[1,6,3,5,2,7,4]=>[5,3,7,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,5,4,2,1,3]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,7,5,4,2,3,1]=>[1,6,3,5,2,7,4]=>[5,3,7,4,2,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[6,7,5,4,3,1,2]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[6,7,5,4,3,2,1]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,1,2,3,4,6,5]=>[1,7,5,4,3,2,6]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,1,2,3,5,4,6]=>[1,7,6,4,3,2,5]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,1,2,3,5,6,4]=>[1,7,4,3,2,5,6]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,1,2,3,6,4,5]=>[1,7,5,6,4,3,2]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,1,2,3,6,5,4]=>[1,7,4,3,2,5,6]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,1,2,4,3,5,6]=>[1,7,6,5,3,2,4]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,1,2,4,3,6,5]=>[1,7,5,3,2,4,6]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,1,2,4,5,3,6]=>[1,7,6,3,2,4,5]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,1,2,4,5,6,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,1,2,4,6,3,5]=>[1,7,5,6,3,2,4]=>[6,5,7,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,1,2,4,6,5,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,1,2,5,3,4,6]=>[1,7,6,4,5,3,2]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,1,2,5,3,6,4]=>[1,7,4,5,3,2,6]=>[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,1,2,5,4,3,6]=>[1,7,6,3,2,4,5]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,1,2,5,4,6,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,1,2,5,6,3,4]=>[1,7,4,5,6,3,2]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,1,2,5,6,4,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,1,2,6,3,4,5]=>[1,7,5,3,2,4,6]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,1,2,6,3,5,4]=>[1,7,4,6,5,3,2]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,1,2,6,4,3,5]=>[1,7,5,4,6,3,2]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,1,2,6,4,5,3]=>[1,7,3,2,4,6,5]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,1,2,6,5,3,4]=>[1,7,4,6,3,2,5]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,1,2,6,5,4,3]=>[1,7,3,2,4,6,5]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,1,3,2,4,5,6]=>[1,7,6,5,4,2,3]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[7,1,3,2,4,6,5]=>[1,7,5,4,2,3,6]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,1,3,2,5,4,6]=>[1,7,6,4,2,3,5]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,1,3,2,5,6,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,1,3,2,6,4,5]=>[1,7,5,6,4,2,3]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,1,3,2,6,5,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,1,3,4,2,5,6]=>[1,7,6,5,2,3,4]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[7,1,3,4,2,6,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,1,3,4,5,2,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,1,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,1,3,4,6,2,5]=>[1,7,5,6,2,3,4]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,1,3,4,6,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,1,3,5,2,4,6]=>[1,7,6,4,5,2,3]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,1,3,5,2,6,4]=>[1,7,4,5,2,3,6]=>[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,1,3,5,4,2,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,1,3,5,4,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,1,3,5,6,2,4]=>[1,7,4,5,6,2,3]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,1,3,5,6,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,1,3,6,2,4,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,1,3,6,2,5,4]=>[1,7,4,6,5,2,3]=>[6,7,3,5,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,1,3,6,4,2,5]=>[1,7,5,4,6,2,3]=>[6,7,4,3,5,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,1,3,6,4,5,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,1,3,6,5,2,4]=>[1,7,4,6,2,3,5]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,1,3,6,5,4,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,1,4,2,3,5,6]=>[1,7,6,5,3,4,2]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,1,4,2,3,6,5]=>[1,7,5,3,4,2,6]=>[6,4,5,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,1,4,2,5,3,6]=>[1,7,6,3,4,2,5]=>[6,4,5,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,1,4,2,5,6,3]=>[1,7,3,4,2,5,6]=>[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,1,4,2,6,3,5]=>[1,7,5,6,3,4,2]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,1,4,2,6,5,3]=>[1,7,3,4,2,5,6]=>[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,1,4,3,2,5,6]=>[1,7,6,5,2,3,4]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[7,1,4,3,2,6,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,1,4,3,5,2,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,1,4,3,5,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,1,4,3,6,2,5]=>[1,7,5,6,2,3,4]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,1,4,3,6,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,1,4,5,2,3,6]=>[1,7,6,3,4,5,2]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,1,4,5,2,6,3]=>[1,7,3,4,5,2,6]=>[6,3,4,5,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,1,4,5,3,2,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,1,4,5,3,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,1,4,5,6,2,3]=>[1,7,3,4,5,6,2]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,1,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,1,4,6,2,3,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,1,4,6,2,5,3]=>[1,7,3,4,6,5,2]=>[7,3,4,6,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,1,4,6,3,2,5]=>[1,7,5,3,4,6,2]=>[7,4,5,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,1,4,6,3,5,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,1,4,6,5,2,3]=>[1,7,3,4,6,2,5]=>[6,3,4,7,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,1,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,1,5,2,3,4,6]=>[1,7,6,4,2,3,5]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,1,5,2,3,6,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,1,5,2,4,3,6]=>[1,7,6,3,5,4,2]=>[7,4,6,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,1,5,2,4,6,3]=>[1,7,3,5,4,2,6]=>[6,3,5,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,1,5,2,6,3,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,1,5,2,6,4,3]=>[1,7,3,5,6,4,2]=>[7,3,6,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,1,5,3,2,4,6]=>[1,7,6,4,3,5,2]=>[7,5,4,6,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,1,5,3,2,6,4]=>[1,7,4,3,5,2,6]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,1,5,3,4,2,6]=>[1,7,6,2,3,5,4]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[7,1,5,3,4,6,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,1,5,3,6,2,4]=>[1,7,4,3,5,6,2]=>[7,4,3,5,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,1,5,3,6,4,2]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,1,5,4,2,3,6]=>[1,7,6,3,5,2,4]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,1,5,4,2,6,3]=>[1,7,3,5,2,4,6]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,1,5,4,3,2,6]=>[1,7,6,2,3,5,4]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[7,1,5,4,3,6,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,1,5,4,6,2,3]=>[1,7,3,5,6,2,4]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,1,5,4,6,3,2]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,1,5,6,2,3,4]=>[1,7,4,6,3,5,2]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,1,5,6,2,4,3]=>[1,7,3,5,2,4,6]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,1,5,6,3,2,4]=>[1,7,4,6,2,3,5]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,1,5,6,3,4,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,1,5,6,4,2,3]=>[1,7,3,5,4,6,2]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,1,5,6,4,3,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,1,6,2,3,4,5]=>[1,7,5,3,6,4,2]=>[7,4,6,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,1,6,2,3,5,4]=>[1,7,4,2,3,6,5]=>[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,1,6,2,4,3,5]=>[1,7,5,4,2,3,6]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,1,6,2,4,5,3]=>[1,7,3,6,5,4,2]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,1,6,2,5,3,4]=>[1,7,4,2,3,6,5]=>[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,1,6,2,5,4,3]=>[1,7,3,6,4,2,5]=>[6,3,5,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,1,6,3,2,4,5]=>[1,7,5,2,3,6,4]=>[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,1,6,3,2,5,4]=>[1,7,4,3,6,5,2]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,1,6,3,4,2,5]=>[1,7,5,4,3,6,2]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,1,6,3,4,5,2]=>[1,7,2,3,6,5,4]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[7,1,6,3,5,2,4]=>[1,7,4,3,6,2,5]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,1,6,3,5,4,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,1,6,4,2,3,5]=>[1,7,5,2,3,6,4]=>[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,1,6,4,2,5,3]=>[1,7,3,6,5,2,4]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,1,6,4,3,2,5]=>[1,7,5,3,6,2,4]=>[6,4,7,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,1,6,4,3,5,2]=>[1,7,2,3,6,5,4]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[7,1,6,4,5,2,3]=>[1,7,3,6,2,4,5]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,1,6,4,5,3,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,1,6,5,2,3,4]=>[1,7,4,5,2,3,6]=>[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,1,6,5,2,4,3]=>[1,7,3,6,4,5,2]=>[7,3,5,6,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,1,6,5,3,2,4]=>[1,7,4,5,3,6,2]=>[7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,1,6,5,3,4,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,1,6,5,4,2,3]=>[1,7,3,6,2,4,5]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,1,6,5,4,3,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,2,1,3,4,5,6]=>[1,7,6,5,4,3,2]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[7,2,1,3,4,6,5]=>[1,7,5,4,3,2,6]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,2,1,3,5,4,6]=>[1,7,6,4,3,2,5]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,2,1,3,5,6,4]=>[1,7,4,3,2,5,6]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,2,1,3,6,4,5]=>[1,7,5,6,4,3,2]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,2,1,3,6,5,4]=>[1,7,4,3,2,5,6]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,2,1,4,3,5,6]=>[1,7,6,5,3,2,4]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,2,1,4,3,6,5]=>[1,7,5,3,2,4,6]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,2,1,4,5,3,6]=>[1,7,6,3,2,4,5]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,2,1,4,5,6,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,2,1,4,6,3,5]=>[1,7,5,6,3,2,4]=>[6,5,7,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,2,1,4,6,5,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,2,1,5,3,4,6]=>[1,7,6,4,5,3,2]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,2,1,5,3,6,4]=>[1,7,4,5,3,2,6]=>[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,2,1,5,4,3,6]=>[1,7,6,3,2,4,5]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,2,1,5,4,6,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,2,1,5,6,3,4]=>[1,7,4,5,6,3,2]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,2,1,5,6,4,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,2,1,6,3,4,5]=>[1,7,5,3,2,4,6]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,2,1,6,3,5,4]=>[1,7,4,6,5,3,2]=>[7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,2,1,6,4,3,5]=>[1,7,5,4,6,3,2]=>[7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,2,1,6,4,5,3]=>[1,7,3,2,4,6,5]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,2,1,6,5,3,4]=>[1,7,4,6,3,2,5]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,2,1,6,5,4,3]=>[1,7,3,2,4,6,5]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,2,3,1,4,5,6]=>[1,7,6,5,4,2,3]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[7,2,3,1,4,6,5]=>[1,7,5,4,2,3,6]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,2,3,1,5,4,6]=>[1,7,6,4,2,3,5]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,2,3,1,5,6,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,2,3,1,6,4,5]=>[1,7,5,6,4,2,3]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,2,3,1,6,5,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,2,3,4,1,5,6]=>[1,7,6,5,2,3,4]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[7,2,3,4,1,6,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,2,3,4,5,1,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,2,3,4,5,6,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,2,3,4,6,1,5]=>[1,7,5,6,2,3,4]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,2,3,4,6,5,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,2,3,5,1,4,6]=>[1,7,6,4,5,2,3]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,2,3,5,1,6,4]=>[1,7,4,5,2,3,6]=>[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,2,3,5,4,1,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,2,3,5,4,6,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,2,3,5,6,1,4]=>[1,7,4,5,6,2,3]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,2,3,5,6,4,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,2,3,6,1,4,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,2,3,6,1,5,4]=>[1,7,4,6,5,2,3]=>[6,7,3,5,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,2,3,6,4,1,5]=>[1,7,5,4,6,2,3]=>[6,7,4,3,5,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,2,3,6,4,5,1]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,2,3,6,5,1,4]=>[1,7,4,6,2,3,5]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,2,3,6,5,4,1]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,2,4,1,3,5,6]=>[1,7,6,5,3,4,2]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,2,4,1,3,6,5]=>[1,7,5,3,4,2,6]=>[6,4,5,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,2,4,1,5,3,6]=>[1,7,6,3,4,2,5]=>[6,4,5,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,2,4,1,5,6,3]=>[1,7,3,4,2,5,6]=>[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,2,4,1,6,3,5]=>[1,7,5,6,3,4,2]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,2,4,1,6,5,3]=>[1,7,3,4,2,5,6]=>[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,2,4,3,1,5,6]=>[1,7,6,5,2,3,4]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[7,2,4,3,1,6,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,2,4,3,5,1,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,2,4,3,5,6,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,2,4,3,6,1,5]=>[1,7,5,6,2,3,4]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,2,4,3,6,5,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,2,4,5,1,3,6]=>[1,7,6,3,4,5,2]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,2,4,5,1,6,3]=>[1,7,3,4,5,2,6]=>[6,3,4,5,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,2,4,5,3,1,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,2,4,5,3,6,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,2,4,5,6,1,3]=>[1,7,3,4,5,6,2]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,2,4,5,6,3,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,2,4,6,1,3,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,2,4,6,1,5,3]=>[1,7,3,4,6,5,2]=>[7,3,4,6,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,2,4,6,3,1,5]=>[1,7,5,3,4,6,2]=>[7,4,5,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,2,4,6,3,5,1]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,2,4,6,5,1,3]=>[1,7,3,4,6,2,5]=>[6,3,4,7,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,2,4,6,5,3,1]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,2,5,1,3,4,6]=>[1,7,6,4,2,3,5]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,2,5,1,3,6,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,2,5,1,4,3,6]=>[1,7,6,3,5,4,2]=>[7,4,6,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,2,5,1,4,6,3]=>[1,7,3,5,4,2,6]=>[6,3,5,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,2,5,1,6,3,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,2,5,1,6,4,3]=>[1,7,3,5,6,4,2]=>[7,3,6,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,2,5,3,1,4,6]=>[1,7,6,4,3,5,2]=>[7,5,4,6,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,2,5,3,1,6,4]=>[1,7,4,3,5,2,6]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,2,5,3,4,1,6]=>[1,7,6,2,3,5,4]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[7,2,5,3,4,6,1]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,2,5,3,6,1,4]=>[1,7,4,3,5,6,2]=>[7,4,3,5,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,2,5,3,6,4,1]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,2,5,4,1,3,6]=>[1,7,6,3,5,2,4]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,2,5,4,1,6,3]=>[1,7,3,5,2,4,6]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,2,5,4,3,1,6]=>[1,7,6,2,3,5,4]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[7,2,5,4,3,6,1]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,2,5,4,6,1,3]=>[1,7,3,5,6,2,4]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,2,5,4,6,3,1]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,2,5,6,1,3,4]=>[1,7,4,6,3,5,2]=>[7,5,3,6,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,2,5,6,1,4,3]=>[1,7,3,5,2,4,6]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,2,5,6,3,1,4]=>[1,7,4,6,2,3,5]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,2,5,6,3,4,1]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,2,5,6,4,1,3]=>[1,7,3,5,4,6,2]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,2,5,6,4,3,1]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,2,6,1,3,4,5]=>[1,7,5,3,6,4,2]=>[7,4,6,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,2,6,1,3,5,4]=>[1,7,4,2,3,6,5]=>[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,2,6,1,4,3,5]=>[1,7,5,4,2,3,6]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,2,6,1,4,5,3]=>[1,7,3,6,5,4,2]=>[7,3,6,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,2,6,1,5,3,4]=>[1,7,4,2,3,6,5]=>[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,2,6,1,5,4,3]=>[1,7,3,6,4,2,5]=>[6,3,5,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,2,6,3,1,4,5]=>[1,7,5,2,3,6,4]=>[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,2,6,3,1,5,4]=>[1,7,4,3,6,5,2]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,2,6,3,4,1,5]=>[1,7,5,4,3,6,2]=>[7,5,4,3,6,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,2,6,3,4,5,1]=>[1,7,2,3,6,5,4]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[7,2,6,3,5,1,4]=>[1,7,4,3,6,2,5]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,2,6,3,5,4,1]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,2,6,4,1,3,5]=>[1,7,5,2,3,6,4]=>[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,2,6,4,1,5,3]=>[1,7,3,6,5,2,4]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,2,6,4,3,1,5]=>[1,7,5,3,6,2,4]=>[6,4,7,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,2,6,4,3,5,1]=>[1,7,2,3,6,5,4]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[7,2,6,4,5,1,3]=>[1,7,3,6,2,4,5]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,2,6,4,5,3,1]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,2,6,5,1,3,4]=>[1,7,4,5,2,3,6]=>[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,2,6,5,1,4,3]=>[1,7,3,6,4,5,2]=>[7,3,5,6,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,2,6,5,3,1,4]=>[1,7,4,5,3,6,2]=>[7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,2,6,5,3,4,1]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,2,6,5,4,1,3]=>[1,7,3,6,2,4,5]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,2,6,5,4,3,1]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,3,1,2,4,5,6]=>[1,7,6,5,4,2,3]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[7,3,1,2,4,6,5]=>[1,7,5,4,2,3,6]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,3,1,2,5,4,6]=>[1,7,6,4,2,3,5]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,3,1,2,5,6,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,1,2,6,4,5]=>[1,7,5,6,4,2,3]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,3,1,2,6,5,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,1,4,2,5,6]=>[1,7,6,5,2,3,4]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[7,3,1,4,2,6,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,1,4,5,2,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,3,1,4,5,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,1,4,6,2,5]=>[1,7,5,6,2,3,4]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,1,4,6,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,1,5,2,4,6]=>[1,7,6,4,5,2,3]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,3,1,5,2,6,4]=>[1,7,4,5,2,3,6]=>[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,1,5,4,2,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,3,1,5,4,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,1,5,6,2,4]=>[1,7,4,5,6,2,3]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,1,5,6,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,1,6,2,4,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,1,6,2,5,4]=>[1,7,4,6,5,2,3]=>[6,7,3,5,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,3,1,6,4,2,5]=>[1,7,5,4,6,2,3]=>[6,7,4,3,5,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,3,1,6,4,5,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,3,1,6,5,2,4]=>[1,7,4,6,2,3,5]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,3,1,6,5,4,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,3,2,1,4,5,6]=>[1,7,6,5,4,2,3]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[7,3,2,1,4,6,5]=>[1,7,5,4,2,3,6]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,3,2,1,5,4,6]=>[1,7,6,4,2,3,5]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,3,2,1,5,6,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,2,1,6,4,5]=>[1,7,5,6,4,2,3]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,3,2,1,6,5,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,2,4,1,5,6]=>[1,7,6,5,2,3,4]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[7,3,2,4,1,6,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,2,4,5,1,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,3,2,4,5,6,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,2,4,6,1,5]=>[1,7,5,6,2,3,4]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,2,4,6,5,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,2,5,1,4,6]=>[1,7,6,4,5,2,3]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,3,2,5,1,6,4]=>[1,7,4,5,2,3,6]=>[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,2,5,4,1,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,3,2,5,4,6,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,2,5,6,1,4]=>[1,7,4,5,6,2,3]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,2,5,6,4,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,2,6,1,4,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,2,6,1,5,4]=>[1,7,4,6,5,2,3]=>[6,7,3,5,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,3,2,6,4,1,5]=>[1,7,5,4,6,2,3]=>[6,7,4,3,5,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,3,2,6,4,5,1]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,3,2,6,5,1,4]=>[1,7,4,6,2,3,5]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,3,2,6,5,4,1]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,3,4,1,2,5,6]=>[1,7,6,5,2,3,4]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[7,3,4,1,2,6,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,4,1,5,2,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,3,4,1,5,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,4,1,6,2,5]=>[1,7,5,6,2,3,4]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,4,1,6,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,4,2,1,5,6]=>[1,7,6,5,2,3,4]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[7,3,4,2,1,6,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,4,2,5,1,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,3,4,2,5,6,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,4,2,6,1,5]=>[1,7,5,6,2,3,4]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,4,2,6,5,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,4,5,1,2,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,3,4,5,1,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,4,5,2,1,6]=>[1,7,6,2,3,4,5]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[7,3,4,5,2,6,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,4,5,6,1,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,4,5,6,2,1]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[7,3,4,6,1,2,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,4,6,1,5,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,3,4,6,2,1,5]=>[1,7,5,2,3,4,6]=>[4,5,6,3,7,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,4,6,2,5,1]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,3,4,6,5,1,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
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[7,3,5,1,2,4,6]=>[1,7,6,4,2,3,5]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,3,5,1,2,6,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,5,1,4,2,6]=>[1,7,6,2,3,5,4]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[7,3,5,1,4,6,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,5,1,6,2,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,5,1,6,4,2]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,5,2,1,4,6]=>[1,7,6,4,2,3,5]=>[5,6,4,7,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,3,5,2,1,6,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,5,2,4,1,6]=>[1,7,6,2,3,5,4]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[7,3,5,2,4,6,1]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,5,2,6,1,4]=>[1,7,4,2,3,5,6]=>[4,5,3,6,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,5,2,6,4,1]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,5,4,1,2,6]=>[1,7,6,2,3,5,4]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[7,3,5,4,1,6,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,5,4,2,1,6]=>[1,7,6,2,3,5,4]=>[4,5,7,6,3,2,1]=>[[[[.,[.,[[.,.],.]]],.],.],.]
[7,3,5,4,2,6,1]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,5,4,6,1,2]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,5,4,6,2,1]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,5,6,1,2,4]=>[1,7,4,6,2,3,5]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,3,5,6,1,4,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,5,6,2,1,4]=>[1,7,4,6,2,3,5]=>[5,6,3,7,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,3,5,6,2,4,1]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,5,6,4,1,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,5,6,4,2,1]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[7,3,6,1,2,4,5]=>[1,7,5,2,3,6,4]=>[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,6,1,2,5,4]=>[1,7,4,2,3,6,5]=>[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,3,6,1,4,2,5]=>[1,7,5,4,2,3,6]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,3,6,1,4,5,2]=>[1,7,2,3,6,5,4]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[7,3,6,1,5,2,4]=>[1,7,4,2,3,6,5]=>[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,3,6,1,5,4,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,3,6,2,1,4,5]=>[1,7,5,2,3,6,4]=>[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,6,2,1,5,4]=>[1,7,4,2,3,6,5]=>[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,3,6,2,4,1,5]=>[1,7,5,4,2,3,6]=>[5,6,4,3,7,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,3,6,2,4,5,1]=>[1,7,2,3,6,5,4]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[7,3,6,2,5,1,4]=>[1,7,4,2,3,6,5]=>[4,5,3,7,6,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,3,6,2,5,4,1]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,3,6,4,1,2,5]=>[1,7,5,2,3,6,4]=>[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,6,4,1,5,2]=>[1,7,2,3,6,5,4]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[7,3,6,4,2,1,5]=>[1,7,5,2,3,6,4]=>[4,5,7,3,6,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,3,6,4,2,5,1]=>[1,7,2,3,6,5,4]=>[3,4,7,6,5,2,1]=>[[[.,[.,[[[.,.],.],.]]],.],.]
[7,3,6,4,5,1,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,3,6,4,5,2,1]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,3,6,5,1,2,4]=>[1,7,4,5,2,3,6]=>[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,6,5,1,4,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,3,6,5,2,1,4]=>[1,7,4,5,2,3,6]=>[5,6,3,4,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,3,6,5,2,4,1]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,3,6,5,4,1,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,3,6,5,4,2,1]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[7,4,1,2,3,5,6]=>[1,7,6,5,3,2,4]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,4,1,2,3,6,5]=>[1,7,5,3,2,4,6]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,4,1,2,5,3,6]=>[1,7,6,3,2,4,5]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,4,1,2,5,6,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,4,1,2,6,3,5]=>[1,7,5,6,3,2,4]=>[6,5,7,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,4,1,2,6,5,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,4,1,3,2,5,6]=>[1,7,6,5,2,4,3]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[7,4,1,3,2,6,5]=>[1,7,5,2,4,3,6]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,1,3,5,2,6]=>[1,7,6,2,4,3,5]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,1,3,5,6,2]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,1,3,6,2,5]=>[1,7,5,6,2,4,3]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,1,3,6,5,2]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,1,5,2,3,6]=>[1,7,6,3,2,4,5]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,4,1,5,2,6,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,4,1,5,3,2,6]=>[1,7,6,2,4,5,3]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,1,5,3,6,2]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,1,5,6,2,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,4,1,5,6,3,2]=>[1,7,2,4,5,6,3]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,1,6,2,3,5]=>[1,7,5,2,4,6,3]=>[4,7,5,3,6,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,1,6,2,5,3]=>[1,7,3,2,4,6,5]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,4,1,6,3,2,5]=>[1,7,5,3,2,4,6]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,4,1,6,3,5,2]=>[1,7,2,4,6,5,3]=>[3,7,4,6,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,1,6,5,2,3]=>[1,7,3,2,4,6,5]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
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[7,4,2,1,3,5,6]=>[1,7,6,5,3,2,4]=>[6,5,7,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[7,4,2,1,3,6,5]=>[1,7,5,3,2,4,6]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,4,2,1,5,3,6]=>[1,7,6,3,2,4,5]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,4,2,1,5,6,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,4,2,1,6,3,5]=>[1,7,5,6,3,2,4]=>[6,5,7,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,4,2,1,6,5,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,4,2,3,1,5,6]=>[1,7,6,5,2,4,3]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[7,4,2,3,1,6,5]=>[1,7,5,2,4,3,6]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,2,3,5,1,6]=>[1,7,6,2,4,3,5]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,2,3,5,6,1]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,2,3,6,1,5]=>[1,7,5,6,2,4,3]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,2,3,6,5,1]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,2,5,1,3,6]=>[1,7,6,3,2,4,5]=>[5,4,6,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,4,2,5,1,6,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,4,2,5,3,1,6]=>[1,7,6,2,4,5,3]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,2,5,3,6,1]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,2,5,6,1,3]=>[1,7,3,2,4,5,6]=>[4,3,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,4,2,5,6,3,1]=>[1,7,2,4,5,6,3]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,2,6,1,3,5]=>[1,7,5,2,4,6,3]=>[4,7,5,3,6,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,2,6,1,5,3]=>[1,7,3,2,4,6,5]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,4,2,6,3,1,5]=>[1,7,5,3,2,4,6]=>[5,4,6,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,4,2,6,3,5,1]=>[1,7,2,4,6,5,3]=>[3,7,4,6,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,2,6,5,1,3]=>[1,7,3,2,4,6,5]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,4,2,6,5,3,1]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,3,1,2,5,6]=>[1,7,6,5,2,4,3]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[7,4,3,1,2,6,5]=>[1,7,5,2,4,3,6]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,3,1,5,2,6]=>[1,7,6,2,4,3,5]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,3,1,5,6,2]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,3,1,6,2,5]=>[1,7,5,6,2,4,3]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,3,1,6,5,2]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,3,2,1,5,6]=>[1,7,6,5,2,4,3]=>[5,7,6,4,3,2,1]=>[[[[[.,[[.,.],.]],.],.],.],.]
[7,4,3,2,1,6,5]=>[1,7,5,2,4,3,6]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,3,2,5,1,6]=>[1,7,6,2,4,3,5]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,3,2,5,6,1]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,3,2,6,1,5]=>[1,7,5,6,2,4,3]=>[5,7,6,3,4,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,3,2,6,5,1]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,3,5,1,2,6]=>[1,7,6,2,4,5,3]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,3,5,1,6,2]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,3,5,2,1,6]=>[1,7,6,2,4,5,3]=>[4,7,5,6,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,3,5,2,6,1]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,3,5,6,1,2]=>[1,7,2,4,5,6,3]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,3,5,6,2,1]=>[1,7,2,4,5,6,3]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,3,6,1,2,5]=>[1,7,5,2,4,6,3]=>[4,7,5,3,6,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,3,6,1,5,2]=>[1,7,2,4,6,5,3]=>[3,7,4,6,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,3,6,2,1,5]=>[1,7,5,2,4,6,3]=>[4,7,5,3,6,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,3,6,2,5,1]=>[1,7,2,4,6,5,3]=>[3,7,4,6,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,3,6,5,1,2]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,3,6,5,2,1]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,5,1,2,3,6]=>[1,7,6,3,5,2,4]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,4,5,1,2,6,3]=>[1,7,3,5,2,4,6]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,4,5,1,3,2,6]=>[1,7,6,2,4,3,5]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,5,1,3,6,2]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,5,1,6,2,3]=>[1,7,3,5,6,2,4]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,4,5,1,6,3,2]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,5,2,1,3,6]=>[1,7,6,3,5,2,4]=>[6,4,7,5,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,4,5,2,1,6,3]=>[1,7,3,5,2,4,6]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,4,5,2,3,1,6]=>[1,7,6,2,4,3,5]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,5,2,3,6,1]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,5,2,6,1,3]=>[1,7,3,5,6,2,4]=>[6,3,7,4,5,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,4,5,2,6,3,1]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,5,3,1,2,6]=>[1,7,6,2,4,3,5]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,5,3,1,6,2]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,5,3,2,1,6]=>[1,7,6,2,4,3,5]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[7,4,5,3,2,6,1]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,5,3,6,1,2]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,5,3,6,2,1]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,5,6,1,2,3]=>[1,7,3,5,2,4,6]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,4,5,6,1,3,2]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,5,6,2,1,3]=>[1,7,3,5,2,4,6]=>[5,3,6,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,4,5,6,2,3,1]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,5,6,3,1,2]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,5,6,3,2,1]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,6,1,2,3,5]=>[1,7,5,2,4,3,6]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,6,1,2,5,3]=>[1,7,3,6,5,2,4]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,4,6,1,3,2,5]=>[1,7,5,3,6,2,4]=>[6,4,7,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,4,6,1,3,5,2]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,6,1,5,2,3]=>[1,7,3,6,2,4,5]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,4,6,1,5,3,2]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,6,2,1,3,5]=>[1,7,5,2,4,3,6]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,6,2,1,5,3]=>[1,7,3,6,5,2,4]=>[6,3,7,5,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,4,6,2,3,1,5]=>[1,7,5,3,6,2,4]=>[6,4,7,3,5,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,4,6,2,3,5,1]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,6,2,5,1,3]=>[1,7,3,6,2,4,5]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,4,6,2,5,3,1]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,6,3,1,2,5]=>[1,7,5,2,4,3,6]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,6,3,1,5,2]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,6,3,2,1,5]=>[1,7,5,2,4,3,6]=>[4,6,5,3,7,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,4,6,3,2,5,1]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,6,3,5,1,2]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,6,3,5,2,1]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[7,4,6,5,1,2,3]=>[1,7,3,6,2,4,5]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,4,6,5,1,3,2]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,6,5,2,1,3]=>[1,7,3,6,2,4,5]=>[5,3,6,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,4,6,5,2,3,1]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,6,5,3,1,2]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,4,6,5,3,2,1]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[7,5,1,2,3,4,6]=>[1,7,6,4,2,5,3]=>[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,5,1,2,3,6,4]=>[1,7,4,2,5,3,6]=>[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,1,2,4,3,6]=>[1,7,6,3,2,5,4]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,5,1,2,4,6,3]=>[1,7,3,2,5,4,6]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,1,2,6,3,4]=>[1,7,4,2,5,6,3]=>[4,7,3,5,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,1,2,6,4,3]=>[1,7,3,2,5,6,4]=>[4,3,7,5,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,1,3,2,4,6]=>[1,7,6,4,3,2,5]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,5,1,3,2,6,4]=>[1,7,4,3,2,5,6]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,5,1,3,4,2,6]=>[1,7,6,2,5,4,3]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,5,1,3,4,6,2]=>[1,7,2,5,4,3,6]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,1,3,6,2,4]=>[1,7,4,3,2,5,6]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,5,1,3,6,4,2]=>[1,7,2,5,6,4,3]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,1,4,2,3,6]=>[1,7,6,3,2,5,4]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,5,1,4,2,6,3]=>[1,7,3,2,5,4,6]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,1,4,3,2,6]=>[1,7,6,2,5,3,4]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[7,5,1,4,3,6,2]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,1,4,6,2,3]=>[1,7,3,2,5,6,4]=>[4,3,7,5,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,1,4,6,3,2]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,1,6,2,3,4]=>[1,7,4,6,3,2,5]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,5,1,6,2,4,3]=>[1,7,3,2,5,4,6]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,1,6,3,2,4]=>[1,7,4,6,2,5,3]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,5,1,6,3,4,2]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,1,6,4,2,3]=>[1,7,3,2,5,4,6]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,1,6,4,3,2]=>[1,7,2,5,4,6,3]=>[3,7,5,4,6,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,2,1,3,4,6]=>[1,7,6,4,2,5,3]=>[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,5,2,1,3,6,4]=>[1,7,4,2,5,3,6]=>[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,2,1,4,3,6]=>[1,7,6,3,2,5,4]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,5,2,1,4,6,3]=>[1,7,3,2,5,4,6]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,2,1,6,3,4]=>[1,7,4,2,5,6,3]=>[4,7,3,5,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,2,1,6,4,3]=>[1,7,3,2,5,6,4]=>[4,3,7,5,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,2,3,1,4,6]=>[1,7,6,4,3,2,5]=>[6,5,4,7,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[7,5,2,3,1,6,4]=>[1,7,4,3,2,5,6]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,5,2,3,4,1,6]=>[1,7,6,2,5,4,3]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,5,2,3,4,6,1]=>[1,7,2,5,4,3,6]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,2,3,6,1,4]=>[1,7,4,3,2,5,6]=>[5,4,3,6,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,5,2,3,6,4,1]=>[1,7,2,5,6,4,3]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,2,4,1,3,6]=>[1,7,6,3,2,5,4]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[7,5,2,4,1,6,3]=>[1,7,3,2,5,4,6]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,2,4,3,1,6]=>[1,7,6,2,5,3,4]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[7,5,2,4,3,6,1]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,2,4,6,1,3]=>[1,7,3,2,5,6,4]=>[4,3,7,5,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,2,4,6,3,1]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,2,6,1,3,4]=>[1,7,4,6,3,2,5]=>[6,5,3,7,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,5,2,6,1,4,3]=>[1,7,3,2,5,4,6]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,2,6,3,1,4]=>[1,7,4,6,2,5,3]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,5,2,6,3,4,1]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,2,6,4,1,3]=>[1,7,3,2,5,4,6]=>[4,3,6,5,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,5,2,6,4,3,1]=>[1,7,2,5,4,6,3]=>[3,7,5,4,6,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,3,1,2,4,6]=>[1,7,6,4,2,5,3]=>[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,5,3,1,2,6,4]=>[1,7,4,2,5,3,6]=>[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,3,1,4,2,6]=>[1,7,6,2,5,4,3]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,5,3,1,4,6,2]=>[1,7,2,5,4,3,6]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,3,1,6,2,4]=>[1,7,4,2,5,6,3]=>[4,7,3,5,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,3,1,6,4,2]=>[1,7,2,5,6,4,3]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,3,2,1,4,6]=>[1,7,6,4,2,5,3]=>[5,7,4,6,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[7,5,3,2,1,6,4]=>[1,7,4,2,5,3,6]=>[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,3,2,4,1,6]=>[1,7,6,2,5,4,3]=>[4,7,6,5,3,2,1]=>[[[[.,[[[.,.],.],.]],.],.],.]
[7,5,3,2,4,6,1]=>[1,7,2,5,4,3,6]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,3,2,6,1,4]=>[1,7,4,2,5,6,3]=>[4,7,3,5,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,3,2,6,4,1]=>[1,7,2,5,6,4,3]=>[3,7,6,4,5,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,3,4,1,2,6]=>[1,7,6,2,5,3,4]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[7,5,3,4,1,6,2]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,3,4,2,1,6]=>[1,7,6,2,5,3,4]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[7,5,3,4,2,6,1]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,3,4,6,1,2]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,3,4,6,2,1]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,3,6,1,2,4]=>[1,7,4,6,2,5,3]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,5,3,6,1,4,2]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,3,6,2,1,4]=>[1,7,4,6,2,5,3]=>[5,7,3,6,4,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,5,3,6,2,4,1]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,3,6,4,1,2]=>[1,7,2,5,4,6,3]=>[3,7,5,4,6,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,3,6,4,2,1]=>[1,7,2,5,4,6,3]=>[3,7,5,4,6,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,4,1,2,3,6]=>[1,7,6,3,4,2,5]=>[6,4,5,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,5,4,1,2,6,3]=>[1,7,3,4,2,5,6]=>[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,5,4,1,3,2,6]=>[1,7,6,2,5,3,4]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[7,5,4,1,3,6,2]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,4,1,6,2,3]=>[1,7,3,4,2,5,6]=>[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,5,4,1,6,3,2]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,4,2,1,3,6]=>[1,7,6,3,4,2,5]=>[6,4,5,7,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[7,5,4,2,1,6,3]=>[1,7,3,4,2,5,6]=>[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,5,4,2,3,1,6]=>[1,7,6,2,5,3,4]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[7,5,4,2,3,6,1]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,4,2,6,1,3]=>[1,7,3,4,2,5,6]=>[5,3,4,6,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,5,4,2,6,3,1]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,4,3,1,2,6]=>[1,7,6,2,5,3,4]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[7,5,4,3,1,6,2]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,4,3,2,1,6]=>[1,7,6,2,5,3,4]=>[4,6,7,5,3,2,1]=>[[[[.,[[.,[.,.]],.]],.],.],.]
[7,5,4,3,2,6,1]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,4,3,6,1,2]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,4,3,6,2,1]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,4,6,1,2,3]=>[1,7,3,4,6,2,5]=>[6,3,4,7,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,5,4,6,1,3,2]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,4,6,2,1,3]=>[1,7,3,4,6,2,5]=>[6,3,4,7,5,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,5,4,6,2,3,1]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,4,6,3,1,2]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,4,6,3,2,1]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,6,1,2,3,4]=>[1,7,4,2,5,3,6]=>[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,6,1,2,4,3]=>[1,7,3,6,4,2,5]=>[6,3,5,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,5,6,1,3,2,4]=>[1,7,4,2,5,3,6]=>[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,6,1,3,4,2]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,6,1,4,2,3]=>[1,7,3,6,2,5,4]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,5,6,1,4,3,2]=>[1,7,2,5,4,3,6]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,6,2,1,3,4]=>[1,7,4,2,5,3,6]=>[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,6,2,1,4,3]=>[1,7,3,6,4,2,5]=>[6,3,5,7,4,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,5,6,2,3,1,4]=>[1,7,4,2,5,3,6]=>[4,6,3,5,7,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,5,6,2,3,4,1]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,6,2,4,1,3]=>[1,7,3,6,2,5,4]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,5,6,2,4,3,1]=>[1,7,2,5,4,3,6]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,6,3,1,2,4]=>[1,7,4,3,6,2,5]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,5,6,3,1,4,2]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,6,3,2,1,4]=>[1,7,4,3,6,2,5]=>[6,4,3,7,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,5,6,3,2,4,1]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,6,3,4,1,2]=>[1,7,2,5,4,3,6]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,6,3,4,2,1]=>[1,7,2,5,4,3,6]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[7,5,6,4,1,2,3]=>[1,7,3,6,2,5,4]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,5,6,4,1,3,2]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,6,4,2,1,3]=>[1,7,3,6,2,5,4]=>[5,3,7,6,4,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,5,6,4,2,3,1]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,6,4,3,1,2]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,5,6,4,3,2,1]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[7,6,1,2,3,4,5]=>[1,7,5,3,2,6,4]=>[5,4,7,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,1,2,3,5,4]=>[1,7,4,2,6,5,3]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,1,2,4,3,5]=>[1,7,5,4,2,6,3]=>[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,1,2,4,5,3]=>[1,7,3,2,6,5,4]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,1,2,5,3,4]=>[1,7,4,2,6,3,5]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,1,2,5,4,3]=>[1,7,3,2,6,4,5]=>[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,1,3,2,4,5]=>[1,7,5,2,6,4,3]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,1,3,2,5,4]=>[1,7,4,3,2,6,5]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,1,3,4,2,5]=>[1,7,5,4,3,2,6]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,6,1,3,4,5,2]=>[1,7,2,6,5,4,3]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,1,3,5,2,4]=>[1,7,4,3,2,6,5]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,1,3,5,4,2]=>[1,7,2,6,4,3,5]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,1,4,2,3,5]=>[1,7,5,2,6,3,4]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,1,4,2,5,3]=>[1,7,3,2,6,5,4]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,1,4,3,2,5]=>[1,7,5,3,2,6,4]=>[5,4,7,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,1,4,3,5,2]=>[1,7,2,6,5,3,4]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[7,6,1,4,5,2,3]=>[1,7,3,2,6,4,5]=>[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,1,4,5,3,2]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,1,5,2,3,4]=>[1,7,4,5,2,6,3]=>[5,7,3,4,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,6,1,5,2,4,3]=>[1,7,3,2,6,4,5]=>[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,1,5,3,2,4]=>[1,7,4,5,3,2,6]=>[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,6,1,5,3,4,2]=>[1,7,2,6,4,5,3]=>[3,7,5,6,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,1,5,4,2,3]=>[1,7,3,2,6,4,5]=>[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,1,5,4,3,2]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,2,1,3,4,5]=>[1,7,5,3,2,6,4]=>[5,4,7,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,2,1,3,5,4]=>[1,7,4,2,6,5,3]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,2,1,4,3,5]=>[1,7,5,4,2,6,3]=>[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,2,1,4,5,3]=>[1,7,3,2,6,5,4]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,1,5,3,4]=>[1,7,4,2,6,3,5]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,2,1,5,4,3]=>[1,7,3,2,6,4,5]=>[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,2,3,1,4,5]=>[1,7,5,2,6,4,3]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,2,3,1,5,4]=>[1,7,4,3,2,6,5]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,2,3,4,1,5]=>[1,7,5,4,3,2,6]=>[6,5,4,3,7,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
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[7,6,2,3,5,1,4]=>[1,7,4,3,2,6,5]=>[5,4,3,7,6,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[7,6,2,3,5,4,1]=>[1,7,2,6,4,3,5]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,2,4,1,3,5]=>[1,7,5,2,6,3,4]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,2,4,1,5,3]=>[1,7,3,2,6,5,4]=>[4,3,7,6,5,2,1]=>[[[[.,.],[[[.,.],.],.]],.],.]
[7,6,2,4,3,1,5]=>[1,7,5,3,2,6,4]=>[5,4,7,3,6,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,2,4,3,5,1]=>[1,7,2,6,5,3,4]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[7,6,2,4,5,1,3]=>[1,7,3,2,6,4,5]=>[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,2,4,5,3,1]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,2,5,1,3,4]=>[1,7,4,5,2,6,3]=>[5,7,3,4,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,6,2,5,1,4,3]=>[1,7,3,2,6,4,5]=>[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,2,5,3,1,4]=>[1,7,4,5,3,2,6]=>[6,5,3,4,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,6,2,5,3,4,1]=>[1,7,2,6,4,5,3]=>[3,7,5,6,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,2,5,4,1,3]=>[1,7,3,2,6,4,5]=>[4,3,6,7,5,2,1]=>[[[[.,.],[[.,[.,.]],.]],.],.]
[7,6,2,5,4,3,1]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,3,1,2,4,5]=>[1,7,5,2,6,4,3]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,3,1,2,5,4]=>[1,7,4,2,6,5,3]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,1,4,2,5]=>[1,7,5,4,2,6,3]=>[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,3,1,4,5,2]=>[1,7,2,6,5,4,3]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,3,1,5,2,4]=>[1,7,4,2,6,3,5]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,1,5,4,2]=>[1,7,2,6,4,3,5]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,3,2,1,4,5]=>[1,7,5,2,6,4,3]=>[4,7,6,3,5,2,1]=>[[[[.,[[.,.],.]],[.,.]],.],.]
[7,6,3,2,1,5,4]=>[1,7,4,2,6,5,3]=>[4,7,3,6,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,2,4,1,5]=>[1,7,5,4,2,6,3]=>[5,7,4,3,6,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[7,6,3,2,4,5,1]=>[1,7,2,6,5,4,3]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[7,6,3,2,5,1,4]=>[1,7,4,2,6,3,5]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,3,2,5,4,1]=>[1,7,2,6,4,3,5]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,3,4,1,2,5]=>[1,7,5,2,6,3,4]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,3,4,1,5,2]=>[1,7,2,6,5,3,4]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[7,6,3,4,2,1,5]=>[1,7,5,2,6,3,4]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,3,4,2,5,1]=>[1,7,2,6,5,3,4]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[7,6,3,4,5,1,2]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,3,4,5,2,1]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,3,5,1,2,4]=>[1,7,4,5,2,6,3]=>[5,7,3,4,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,6,3,5,1,4,2]=>[1,7,2,6,4,5,3]=>[3,7,5,6,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,3,5,2,1,4]=>[1,7,4,5,2,6,3]=>[5,7,3,4,6,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[7,6,3,5,2,4,1]=>[1,7,2,6,4,5,3]=>[3,7,5,6,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,3,5,4,1,2]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,3,5,4,2,1]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,4,1,2,3,5]=>[1,7,5,2,6,3,4]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,4,1,2,5,3]=>[1,7,3,4,2,6,5]=>[5,3,4,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,6,4,1,3,2,5]=>[1,7,5,3,4,2,6]=>[6,4,5,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,1,3,5,2]=>[1,7,2,6,5,3,4]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[7,6,4,1,5,2,3]=>[1,7,3,4,2,6,5]=>[5,3,4,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,6,4,1,5,3,2]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,4,2,1,3,5]=>[1,7,5,2,6,3,4]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,4,2,1,5,3]=>[1,7,3,4,2,6,5]=>[5,3,4,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,6,4,2,3,1,5]=>[1,7,5,3,4,2,6]=>[6,4,5,3,7,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[7,6,4,2,3,5,1]=>[1,7,2,6,5,3,4]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[7,6,4,2,5,1,3]=>[1,7,3,4,2,6,5]=>[5,3,4,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,6,4,2,5,3,1]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,4,3,1,2,5]=>[1,7,5,2,6,3,4]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,4,3,1,5,2]=>[1,7,2,6,5,3,4]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[7,6,4,3,2,1,5]=>[1,7,5,2,6,3,4]=>[4,6,7,3,5,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[7,6,4,3,2,5,1]=>[1,7,2,6,5,3,4]=>[3,6,7,5,4,2,1]=>[[[.,[[[.,[.,.]],.],.]],.],.]
[7,6,4,3,5,1,2]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,4,3,5,2,1]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,4,5,1,2,3]=>[1,7,3,4,5,2,6]=>[6,3,4,5,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,6,4,5,1,3,2]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,4,5,2,1,3]=>[1,7,3,4,5,2,6]=>[6,3,4,5,7,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[7,6,4,5,2,3,1]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,4,5,3,1,2]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,4,5,3,2,1]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[7,6,5,1,2,3,4]=>[1,7,4,2,6,3,5]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,5,1,2,4,3]=>[1,7,3,5,2,6,4]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,5,1,3,2,4]=>[1,7,4,2,6,3,5]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,5,1,3,4,2]=>[1,7,2,6,4,3,5]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,5,1,4,2,3]=>[1,7,3,5,4,2,6]=>[6,3,5,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,5,1,4,3,2]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[7,6,5,2,1,3,4]=>[1,7,4,2,6,3,5]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,5,2,1,4,3]=>[1,7,3,5,2,6,4]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,5,2,3,1,4]=>[1,7,4,2,6,3,5]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[7,6,5,2,3,4,1]=>[1,7,2,6,4,3,5]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,5,2,4,1,3]=>[1,7,3,5,4,2,6]=>[6,3,5,4,7,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,5,2,4,3,1]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[7,6,5,3,1,2,4]=>[1,7,4,3,5,2,6]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,6,5,3,1,4,2]=>[1,7,2,6,4,3,5]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,5,3,2,1,4]=>[1,7,4,3,5,2,6]=>[6,4,3,5,7,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[7,6,5,3,2,4,1]=>[1,7,2,6,4,3,5]=>[3,6,5,7,4,2,1]=>[[[.,[[[.,.],[.,.]],.]],.],.]
[7,6,5,3,4,1,2]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[7,6,5,3,4,2,1]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[7,6,5,4,1,2,3]=>[1,7,3,5,2,6,4]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,5,4,1,3,2]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[7,6,5,4,2,1,3]=>[1,7,3,5,2,6,4]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[7,6,5,4,2,3,1]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[7,6,5,4,3,1,2]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[7,6,5,4,3,2,1]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[8,7,6,5,4,3,2,1]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[7,8,6,5,4,3,2,1]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,6,7,5,4,3,2,1]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,8,5,4,3,2,1]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,8,5,4,3,2,1]=>[1,6,3,8,2,7,4,5]=>[5,3,7,8,2,6,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,7,5,6,4,3,2,1]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,8,5,6,4,3,2,1]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,6,5,7,4,3,2,1]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[8,5,6,7,4,3,2,1]=>[1,8,2,5,4,7,3,6]=>[3,7,5,4,8,6,2,1]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]
[7,6,5,8,4,3,2,1]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,7,5,8,4,3,2,1]=>[1,6,3,5,4,8,2,7]=>[7,3,5,4,2,8,6,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[7,5,6,8,4,3,2,1]=>[1,7,2,5,4,8,3,6]=>[3,7,5,4,8,2,6,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[6,5,7,8,4,3,2,1]=>[1,6,3,7,2,5,4,8]=>[5,3,7,6,2,4,8,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,6,7,8,4,3,2,1]=>[1,5,4,8,2,6,3,7]=>[5,7,3,2,6,8,4,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[8,7,6,4,5,3,2,1]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[7,8,6,4,5,3,2,1]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,6,7,4,5,3,2,1]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,8,4,5,3,2,1]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,8,4,5,3,2,1]=>[1,6,3,8,2,7,4,5]=>[5,3,7,8,2,6,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,7,4,5,6,3,2,1]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,6,4,5,7,3,2,1]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,4,5,6,7,3,2,1]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[7,6,5,4,8,3,2,1]=>[1,7,2,6,3,5,8,4]=>[3,5,8,6,4,2,7,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,5,7,4,8,3,2,1]=>[1,6,3,7,2,5,8,4]=>[5,3,8,6,2,4,7,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[7,6,4,5,8,3,2,1]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,4,5,6,8,3,2,1]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[5,6,4,7,8,3,2,1]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,5,7,8,3,2,1]=>[1,6,3,5,8,2,4,7]=>[6,3,7,4,2,8,5,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[4,5,6,7,8,3,2,1]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,7,6,5,3,4,2,1]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[7,8,6,5,3,4,2,1]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,6,8,5,3,4,2,1]=>[1,7,2,6,4,5,3,8]=>[3,7,5,6,4,2,8,1]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]
[8,7,5,6,3,4,2,1]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,8,5,6,3,4,2,1]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,5,6,7,3,4,2,1]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,7,5,8,3,4,2,1]=>[1,6,4,8,2,7,3,5]=>[5,7,3,8,2,6,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,5,7,8,3,4,2,1]=>[1,6,4,8,2,5,3,7]=>[5,7,3,6,2,8,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[5,6,7,8,3,4,2,1]=>[1,5,3,7,2,6,4,8]=>[5,3,7,2,6,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[8,7,6,4,3,5,2,1]=>[1,8,2,7,3,6,5,4]=>[3,5,8,7,6,4,2,1]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.]
[7,8,6,4,3,5,2,1]=>[1,7,2,8,3,6,5,4]=>[3,5,8,7,6,2,4,1]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[7,6,8,4,3,5,2,1]=>[1,7,2,6,5,3,8,4]=>[3,6,8,5,4,2,7,1]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[8,7,6,3,4,5,2,1]=>[1,8,2,7,3,6,5,4]=>[3,5,8,7,6,4,2,1]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.]
[7,8,6,3,4,5,2,1]=>[1,7,2,8,3,6,5,4]=>[3,5,8,7,6,2,4,1]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[8,6,7,3,4,5,2,1]=>[1,8,2,6,5,4,3,7]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[6,7,8,3,4,5,2,1]=>[1,6,5,4,3,8,2,7]=>[7,5,4,3,2,8,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[8,7,5,4,3,6,2,1]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,8,5,4,3,6,2,1]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,7,4,5,3,6,2,1]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,7,5,3,4,6,2,1]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,8,5,3,4,6,2,1]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,7,4,3,5,6,2,1]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,7,3,4,5,6,2,1]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,8,3,4,5,6,2,1]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,6,4,5,3,7,2,1]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,5,4,6,3,7,2,1]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,6,4,3,5,7,2,1]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,5,4,3,6,7,2,1]=>[1,8,2,5,6,7,3,4]=>[3,7,8,4,5,6,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,5,3,4,6,7,2,1]=>[1,8,2,5,6,7,3,4]=>[3,7,8,4,5,6,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,4,3,5,6,7,2,1]=>[1,8,2,4,5,6,7,3]=>[3,8,4,5,6,7,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,3,4,5,6,7,2,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,7,4,3,8,2,1]=>[1,6,8,2,5,3,7,4]=>[4,6,8,5,2,7,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[7,6,4,5,3,8,2,1]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,4,5,3,8,2,1]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,5,4,6,3,8,2,1]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,5,6,3,8,2,1]=>[1,7,2,4,6,8,3,5]=>[3,7,4,8,5,2,6,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,5,4,7,3,8,2,1]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,4,6,7,3,8,2,1]=>[1,5,3,6,8,2,4,7]=>[6,3,7,2,4,8,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[4,5,6,7,3,8,2,1]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,6,4,3,5,8,2,1]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,6,3,4,5,8,2,1]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,5,4,3,6,8,2,1]=>[1,7,2,5,6,8,3,4]=>[3,7,8,4,5,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,5,3,4,6,8,2,1]=>[1,7,2,5,6,8,3,4]=>[3,7,8,4,5,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,3,4,5,6,8,2,1]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,3,4,5,7,8,2,1]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,4,6,7,8,2,1]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,5,6,7,8,2,1]=>[1,4,6,8,2,3,5,7]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,4,5,6,7,8,2,1]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,7,6,5,4,2,3,1]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[7,8,6,5,4,2,3,1]=>[1,7,3,6,2,8,4,5]=>[5,3,7,8,4,2,6,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[8,6,7,5,4,2,3,1]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,8,5,4,2,3,1]=>[1,7,3,8,2,6,4,5]=>[5,3,7,8,6,2,4,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[8,7,5,6,4,2,3,1]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[8,6,5,7,4,2,3,1]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[8,5,6,7,4,2,3,1]=>[1,8,2,5,4,7,3,6]=>[3,7,5,4,8,6,2,1]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]
[7,6,5,8,4,2,3,1]=>[1,7,3,5,4,8,2,6]=>[7,3,5,4,8,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,7,5,8,4,2,3,1]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[5,6,7,8,4,2,3,1]=>[1,5,4,8,2,6,3,7]=>[5,7,3,2,6,8,4,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[8,7,6,4,5,2,3,1]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[8,6,7,4,5,2,3,1]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,8,4,5,2,3,1]=>[1,7,3,8,2,6,4,5]=>[5,3,7,8,6,2,4,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[6,7,8,4,5,2,3,1]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,4,5,6,2,3,1]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,8,4,5,6,2,3,1]=>[1,7,3,4,5,6,2,8]=>[7,3,4,5,6,2,8,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[8,6,4,5,7,2,3,1]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,4,5,6,7,2,3,1]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[7,6,5,4,8,2,3,1]=>[1,7,3,5,8,2,6,4]=>[6,3,8,4,7,2,5,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,6,4,5,8,2,3,1]=>[1,7,3,4,5,8,2,6]=>[7,3,4,5,8,2,6,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[6,7,4,5,8,2,3,1]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,5,6,7,8,2,3,1]=>[1,4,7,3,6,2,5,8]=>[6,4,2,7,5,3,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[8,7,6,5,3,2,4,1]=>[1,8,2,7,4,5,3,6]=>[3,7,5,6,8,4,2,1]=>[[[.,[[[.,.],[.,[.,.]]],.]],.],.]
[8,6,7,5,3,2,4,1]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,6,5,7,3,2,4,1]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[8,5,6,7,3,2,4,1]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,6,5,8,3,2,4,1]=>[1,7,4,8,2,6,3,5]=>[5,7,3,8,6,2,4,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,7,5,8,3,2,4,1]=>[1,6,2,7,4,8,3,5]=>[3,7,5,8,2,4,6,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,6,7,8,3,2,4,1]=>[1,5,3,7,4,8,2,6]=>[7,3,5,2,8,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[8,7,6,5,2,3,4,1]=>[1,8,2,7,4,5,3,6]=>[3,7,5,6,8,4,2,1]=>[[[.,[[[.,.],[.,[.,.]]],.]],.],.]
[8,6,7,5,2,3,4,1]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,7,8,5,2,3,4,1]=>[1,6,3,8,2,7,4,5]=>[5,3,7,8,2,6,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,6,5,7,2,3,4,1]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[8,5,6,7,2,3,4,1]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,6,5,8,2,3,4,1]=>[1,7,4,8,2,6,3,5]=>[5,7,3,8,6,2,4,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,5,7,8,2,3,4,1]=>[1,6,3,7,4,8,2,5]=>[7,3,5,8,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,6,7,8,2,3,4,1]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,6,4,3,2,5,1]=>[1,8,2,7,5,3,6,4]=>[3,6,8,5,7,4,2,1]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[7,8,6,4,3,2,5,1]=>[1,7,5,3,6,2,8,4]=>[6,4,8,3,5,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[8,6,7,4,3,2,5,1]=>[1,8,2,6,3,7,5,4]=>[3,5,8,7,4,6,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[7,6,8,4,3,2,5,1]=>[1,7,5,3,8,2,6,4]=>[6,4,8,3,7,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[6,7,8,4,3,2,5,1]=>[1,6,2,7,5,3,8,4]=>[3,6,8,5,2,4,7,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,7,6,3,4,2,5,1]=>[1,8,2,7,5,4,3,6]=>[3,7,6,5,8,4,2,1]=>[[[.,[[[[.,.],.],[.,.]],.]],.],.]
[7,8,6,3,4,2,5,1]=>[1,7,5,4,3,6,2,8]=>[7,5,4,3,6,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[8,6,7,3,4,2,5,1]=>[1,8,2,6,3,7,5,4]=>[3,5,8,7,4,6,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[7,6,8,3,4,2,5,1]=>[1,7,5,4,3,8,2,6]=>[7,5,4,3,8,2,6,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[6,7,8,3,4,2,5,1]=>[1,6,2,7,5,4,3,8]=>[3,7,6,5,2,4,8,1]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[8,7,6,4,2,3,5,1]=>[1,8,2,7,5,3,6,4]=>[3,6,8,5,7,4,2,1]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[8,6,7,4,2,3,5,1]=>[1,8,2,6,3,7,5,4]=>[3,5,8,7,4,6,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[7,6,8,4,2,3,5,1]=>[1,7,5,2,6,3,8,4]=>[4,6,8,3,5,2,7,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[6,7,8,4,2,3,5,1]=>[1,6,3,8,2,7,5,4]=>[5,3,8,7,2,6,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[8,7,6,3,2,4,5,1]=>[1,8,2,7,5,3,6,4]=>[3,6,8,5,7,4,2,1]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[8,6,7,3,2,4,5,1]=>[1,8,2,6,4,3,7,5]=>[3,6,5,8,4,7,2,1]=>[[[.,[[[.,.],[.,.]],[.,.]]],.],.]
[6,7,8,3,2,4,5,1]=>[1,6,4,3,8,2,7,5]=>[6,4,3,8,2,7,5,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[8,7,6,2,3,4,5,1]=>[1,8,2,7,5,3,6,4]=>[3,6,8,5,7,4,2,1]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[8,6,7,2,3,4,5,1]=>[1,8,2,6,4,3,7,5]=>[3,6,5,8,4,7,2,1]=>[[[.,[[[.,.],[.,.]],[.,.]]],.],.]
[7,6,8,2,3,4,5,1]=>[1,7,5,3,8,2,6,4]=>[6,4,8,3,7,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[6,7,8,2,3,4,5,1]=>[1,6,4,2,7,5,3,8]=>[4,7,3,6,2,5,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[8,7,5,4,3,2,6,1]=>[1,8,2,7,6,3,5,4]=>[3,6,8,7,5,4,2,1]=>[[[.,[[[.,[[.,.],.]],.],.]],.],.]
[8,7,5,3,4,2,6,1]=>[1,8,2,7,6,3,5,4]=>[3,6,8,7,5,4,2,1]=>[[[.,[[[.,[[.,.],.]],.],.]],.],.]
[8,7,5,4,2,3,6,1]=>[1,8,2,7,6,3,5,4]=>[3,6,8,7,5,4,2,1]=>[[[.,[[[.,[[.,.],.]],.],.]],.],.]
[8,7,5,3,2,4,6,1]=>[1,8,2,7,6,4,3,5]=>[3,7,6,8,5,4,2,1]=>[[[.,[[[[.,.],[.,.]],.],.]],.],.]
[7,8,4,3,2,5,6,1]=>[1,7,6,5,2,8,3,4]=>[5,7,8,4,3,2,6,1]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]
[7,8,3,4,2,5,6,1]=>[1,7,6,5,2,8,3,4]=>[5,7,8,4,3,2,6,1]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]
[7,8,3,2,4,5,6,1]=>[1,7,6,5,4,2,8,3]=>[6,8,5,4,3,2,7,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[8,7,2,3,4,5,6,1]=>[1,8,2,7,6,5,4,3]=>[3,8,7,6,5,4,2,1]=>[[[.,[[[[[.,.],.],.],.],.]],.],.]
[7,8,2,3,4,5,6,1]=>[1,7,6,5,4,3,2,8]=>[7,6,5,4,3,2,8,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[8,6,5,4,3,2,7,1]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[8,5,6,4,3,2,7,1]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,6,4,5,3,2,7,1]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,5,4,6,3,2,7,1]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,6,5,3,4,2,7,1]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[8,6,4,3,5,2,7,1]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,6,3,4,5,2,7,1]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,5,4,3,6,2,7,1]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,4,5,3,6,2,7,1]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,3,4,5,6,2,7,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,6,5,4,2,3,7,1]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[8,5,6,4,2,3,7,1]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,6,4,5,2,3,7,1]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,6,2,3,4,5,7,1]=>[1,8,2,6,5,4,3,7]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[8,5,4,3,2,6,7,1]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,4,5,3,2,6,7,1]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,5,3,4,2,6,7,1]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,3,4,5,2,6,7,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,5,4,2,3,6,7,1]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,4,5,2,3,6,7,1]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,4,3,2,5,6,7,1]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,3,4,2,5,6,7,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,4,2,3,5,6,7,1]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,3,2,4,5,6,7,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,3,4,5,6,7,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,5,6,4,3,2,8,1]=>[1,7,8,2,5,3,6,4]=>[4,6,8,5,7,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,6,7,4,3,2,8,1]=>[1,5,3,7,8,2,6,4]=>[6,3,8,2,7,4,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[7,6,4,5,3,2,8,1]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,5,4,7,3,2,8,1]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,5,6,3,4,2,8,1]=>[1,7,8,2,5,4,3,6]=>[4,7,6,5,8,2,3,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[5,6,7,3,4,2,8,1]=>[1,5,4,3,7,8,2,6]=>[7,4,3,2,8,5,6,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[7,6,4,3,5,2,8,1]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,6,3,4,5,2,8,1]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,5,4,3,6,2,8,1]=>[1,7,8,2,5,6,3,4]=>[4,7,8,5,6,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,5,3,4,6,2,8,1]=>[1,7,8,2,5,6,3,4]=>[4,7,8,5,6,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,3,4,5,6,2,8,1]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,4,3,7,2,8,1]=>[1,6,2,5,7,8,3,4]=>[3,7,8,4,2,5,6,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,4,5,3,7,2,8,1]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,4,6,3,7,2,8,1]=>[1,5,7,8,2,4,3,6]=>[5,7,6,2,8,3,4,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[4,5,6,3,7,2,8,1]=>[1,4,3,6,2,5,7,8]=>[5,3,2,6,4,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[6,5,3,4,7,2,8,1]=>[1,6,2,5,7,8,3,4]=>[3,7,8,4,2,5,6,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,3,4,7,2,8,1]=>[1,5,7,8,2,6,3,4]=>[5,7,8,2,6,3,4,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,4,3,5,7,2,8,1]=>[1,6,2,4,5,7,8,3]=>[3,8,4,5,2,6,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,3,4,5,7,2,8,1]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,5,3,6,7,2,8,1]=>[1,4,6,2,5,7,8,3]=>[4,8,2,5,3,6,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,3,5,6,7,2,8,1]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,7,2,8,1]=>[1,3,5,7,8,2,4,6]=>[6,2,7,3,8,4,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,7,5,4,2,3,8,1]=>[1,6,3,5,2,7,8,4]=>[5,3,8,4,2,6,7,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[7,5,6,4,2,3,8,1]=>[1,7,8,2,5,3,6,4]=>[4,6,8,5,7,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,7,4,2,3,8,1]=>[1,6,3,7,8,2,5,4]=>[6,3,8,7,2,4,5,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,6,7,4,2,3,8,1]=>[1,5,2,6,3,7,8,4]=>[3,5,8,2,4,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,6,4,5,2,3,8,1]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,4,5,2,3,8,1]=>[1,6,3,4,5,2,7,8]=>[6,3,4,5,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,5,4,6,2,3,8,1]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,6,4,7,2,3,8,1]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,5,7,3,2,4,8,1]=>[1,6,4,3,7,8,2,5]=>[7,4,3,8,2,5,6,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[7,5,6,2,3,4,8,1]=>[1,7,8,2,5,3,6,4]=>[4,6,8,5,7,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,6,7,2,3,4,8,1]=>[1,5,3,7,8,2,6,4]=>[6,3,8,2,7,4,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,7,4,3,2,5,8,1]=>[1,6,5,2,7,8,3,4]=>[4,7,8,3,2,5,6,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[7,6,3,2,4,5,8,1]=>[1,7,8,2,6,5,4,3]=>[4,8,7,6,5,2,3,1]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]
[6,7,3,2,4,5,8,1]=>[1,6,5,4,2,7,8,3]=>[5,8,4,3,2,6,7,1]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[7,6,2,3,4,5,8,1]=>[1,7,8,2,6,5,4,3]=>[4,8,7,6,5,2,3,1]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]
[6,7,2,3,4,5,8,1]=>[1,6,5,4,3,2,7,8]=>[6,5,4,3,2,7,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[7,5,4,3,2,6,8,1]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,3,5,2,6,8,1]=>[1,7,8,2,4,5,3,6]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,4,2,3,6,8,1]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,5,3,2,4,6,8,1]=>[1,7,8,2,5,4,3,6]=>[4,7,6,5,8,2,3,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,5,2,3,4,6,8,1]=>[1,7,8,2,5,4,3,6]=>[4,7,6,5,8,2,3,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,3,2,4,5,6,8,1]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,2,3,4,5,6,8,1]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,4,3,2,7,8,1]=>[1,6,7,8,2,5,3,4]=>[5,7,8,6,2,3,4,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,4,6,3,2,7,8,1]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,5,3,4,2,7,8,1]=>[1,6,7,8,2,5,3,4]=>[5,7,8,6,2,3,4,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,3,4,5,2,7,8,1]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,3,6,2,7,8,1]=>[1,5,2,4,6,7,8,3]=>[3,8,4,2,5,6,7,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,3,5,6,2,7,8,1]=>[1,4,6,7,8,2,3,5]=>[6,7,2,8,3,4,5,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,2,7,8,1]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,5,4,2,3,7,8,1]=>[1,6,7,8,2,5,3,4]=>[5,7,8,6,2,3,4,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,4,2,3,7,8,1]=>[1,5,3,4,2,6,7,8]=>[5,3,4,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[6,4,5,2,3,7,8,1]=>[1,6,7,8,2,4,3,5]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,4,6,2,3,7,8,1]=>[1,5,3,6,7,8,2,4]=>[7,3,8,2,4,5,6,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,2,3,7,8,1]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,5,3,2,4,7,8,1]=>[1,6,7,8,2,5,4,3]=>[5,8,7,6,2,3,4,1]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[6,5,2,3,4,7,8,1]=>[1,6,7,8,2,5,4,3]=>[5,8,7,6,2,3,4,1]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[5,6,2,3,4,7,8,1]=>[1,5,4,3,2,6,7,8]=>[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[6,2,3,4,5,7,8,1]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,3,2,6,7,8,1]=>[1,5,6,7,8,2,4,3]=>[6,8,7,2,3,4,5,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,5,3,2,6,7,8,1]=>[1,4,2,5,6,7,8,3]=>[3,8,2,4,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,3,4,2,6,7,8,1]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,5,2,6,7,8,1]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,5,2,6,7,8,1]=>[1,3,5,6,7,8,2,4]=>[7,2,8,3,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,4,2,3,6,7,8,1]=>[1,5,6,7,8,2,4,3]=>[6,8,7,2,3,4,5,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,5,2,3,6,7,8,1]=>[1,4,3,2,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,3,2,4,6,7,8,1]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,3,4,6,7,8,1]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,2,5,6,7,8,1]=>[1,4,5,6,7,8,2,3]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,2,5,6,7,8,1]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,3,5,6,7,8,1]=>[1,4,5,6,7,8,2,3]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,2,4,5,6,7,8,1]=>[1,3,4,5,6,7,8,2]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,4,3,1,2]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[7,8,6,5,4,3,1,2]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,6,7,5,4,3,1,2]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,8,5,4,3,1,2]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,8,5,4,3,1,2]=>[1,6,3,8,2,7,4,5]=>[5,3,7,8,2,6,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,7,5,6,4,3,1,2]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,8,5,6,4,3,1,2]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,6,5,7,4,3,1,2]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[7,6,5,8,4,3,1,2]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,7,5,8,4,3,1,2]=>[1,6,3,5,4,8,2,7]=>[7,3,5,4,2,8,6,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[7,5,6,8,4,3,1,2]=>[1,7,2,5,4,8,3,6]=>[3,7,5,4,8,2,6,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[6,5,7,8,4,3,1,2]=>[1,6,3,7,2,5,4,8]=>[5,3,7,6,2,4,8,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,6,7,8,4,3,1,2]=>[1,5,4,8,2,6,3,7]=>[5,7,3,2,6,8,4,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[8,7,6,4,5,3,1,2]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[7,8,6,4,5,3,1,2]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,6,7,4,5,3,1,2]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,7,8,4,5,3,1,2]=>[1,6,3,8,2,7,4,5]=>[5,3,7,8,2,6,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[7,8,4,5,6,3,1,2]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,6,4,5,7,3,1,2]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,5,4,8,3,1,2]=>[1,7,2,6,3,5,8,4]=>[3,5,8,6,4,2,7,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,5,7,4,8,3,1,2]=>[1,6,3,7,2,5,8,4]=>[5,3,8,6,2,4,7,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[7,6,4,5,8,3,1,2]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,6,4,7,8,3,1,2]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,6,7,8,3,1,2]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,7,6,5,3,4,1,2]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[7,8,6,5,3,4,1,2]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,6,8,5,3,4,1,2]=>[1,7,2,6,4,5,3,8]=>[3,7,5,6,4,2,8,1]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]
[8,7,5,6,3,4,1,2]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,8,5,6,3,4,1,2]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,6,5,7,3,4,1,2]=>[1,8,2,6,4,7,3,5]=>[3,7,5,8,4,6,2,1]=>[[[.,[[[.,.],[.,.]],[.,.]]],.],.]
[8,5,6,7,3,4,1,2]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,7,5,8,3,4,1,2]=>[1,6,4,8,2,7,3,5]=>[5,7,3,8,2,6,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,5,6,8,3,4,1,2]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,7,8,3,4,1,2]=>[1,6,4,8,2,5,3,7]=>[5,7,3,6,2,8,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[5,6,7,8,3,4,1,2]=>[1,5,3,7,2,6,4,8]=>[5,3,7,2,6,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[8,7,6,3,4,5,1,2]=>[1,8,2,7,3,6,5,4]=>[3,5,8,7,6,4,2,1]=>[[[.,[[.,[[[.,.],.],.]],.]],.],.]
[7,8,6,3,4,5,1,2]=>[1,7,2,8,3,6,5,4]=>[3,5,8,7,6,2,4,1]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[8,6,7,3,4,5,1,2]=>[1,8,2,6,5,4,3,7]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[6,7,8,3,4,5,1,2]=>[1,6,5,4,3,8,2,7]=>[7,5,4,3,2,8,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[7,8,5,4,3,6,1,2]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,7,4,5,3,6,1,2]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,8,4,5,3,6,1,2]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,5,3,4,6,1,2]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,7,4,3,5,6,1,2]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,8,4,3,5,6,1,2]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,7,3,4,5,6,1,2]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,8,3,4,5,6,1,2]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,5,4,6,3,7,1,2]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,5,4,3,6,7,1,2]=>[1,8,2,5,6,7,3,4]=>[3,7,8,4,5,6,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,5,3,4,6,7,1,2]=>[1,8,2,5,6,7,3,4]=>[3,7,8,4,5,6,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,4,3,5,6,7,1,2]=>[1,8,2,4,5,6,7,3]=>[3,8,4,5,6,7,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,3,4,5,6,7,1,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,7,4,3,8,1,2]=>[1,6,8,2,5,3,7,4]=>[4,6,8,5,2,7,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,7,4,5,3,8,1,2]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,5,4,6,3,8,1,2]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,4,7,3,8,1,2]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,4,6,7,3,8,1,2]=>[1,5,3,6,8,2,4,7]=>[6,3,7,2,4,8,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[4,5,6,7,3,8,1,2]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,6,3,4,8,1,2]=>[1,7,2,5,4,3,6,8]=>[3,6,5,4,7,2,8,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,6,4,3,5,8,1,2]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,6,3,4,5,8,1,2]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,5,4,3,6,8,1,2]=>[1,7,2,5,6,8,3,4]=>[3,7,8,4,5,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,5,3,6,8,1,2]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,3,4,6,8,1,2]=>[1,7,2,5,6,8,3,4]=>[3,7,8,4,5,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,3,4,5,6,8,1,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,4,6,3,7,8,1,2]=>[1,5,7,2,4,3,6,8]=>[4,6,5,2,7,3,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,4,3,5,7,8,1,2]=>[1,6,8,2,4,5,7,3]=>[4,8,5,6,2,7,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,3,4,5,7,8,1,2]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,3,6,7,8,1,2]=>[1,4,6,8,2,5,7,3]=>[5,8,2,6,3,7,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,4,6,7,8,1,2]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,5,6,7,8,1,2]=>[1,4,6,8,2,3,5,7]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,4,5,6,7,8,1,2]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,7,6,5,4,2,1,3]=>[1,8,3,6,2,7,4,5]=>[5,3,7,8,4,6,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[7,8,6,5,4,2,1,3]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,6,8,5,4,2,1,3]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,8,5,4,2,1,3]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,5,6,4,2,1,3]=>[1,8,3,5,4,6,2,7]=>[7,3,5,4,6,8,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[7,8,5,6,4,2,1,3]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,6,5,7,4,2,1,3]=>[1,8,3,5,4,7,2,6]=>[7,3,5,4,8,6,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[7,6,5,8,4,2,1,3]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,7,5,8,4,2,1,3]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,5,6,8,4,2,1,3]=>[1,7,2,5,4,8,3,6]=>[3,7,5,4,8,2,6,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[5,6,7,8,4,2,1,3]=>[1,5,4,8,3,7,2,6]=>[7,5,3,2,8,6,4,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[8,7,6,4,5,2,1,3]=>[1,8,3,6,2,7,4,5]=>[5,3,7,8,4,6,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[7,6,8,4,5,2,1,3]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,7,4,5,6,2,1,3]=>[1,8,3,4,5,6,2,7]=>[7,3,4,5,6,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[8,6,4,5,7,2,1,3]=>[1,8,3,4,5,7,2,6]=>[7,3,4,5,8,6,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[8,4,5,6,7,2,1,3]=>[1,8,3,5,7,2,4,6]=>[6,3,7,4,8,5,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[7,6,5,4,8,2,1,3]=>[1,7,2,6,3,5,8,4]=>[3,5,8,6,4,2,7,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[7,6,4,5,8,2,1,3]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,4,5,6,8,2,1,3]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[5,4,6,7,8,2,1,3]=>[1,5,8,3,6,2,4,7]=>[6,4,7,2,5,8,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[4,5,6,7,8,2,1,3]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,7,6,5,4,1,2,3]=>[1,8,3,6,2,7,4,5]=>[5,3,7,8,4,6,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[7,8,6,5,4,1,2,3]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,6,8,5,4,1,2,3]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,8,5,4,1,2,3]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,5,6,4,1,2,3]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,6,5,7,4,1,2,3]=>[1,8,3,5,4,7,2,6]=>[7,3,5,4,8,6,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[8,5,6,7,4,1,2,3]=>[1,8,3,6,2,5,4,7]=>[5,3,7,6,4,8,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[7,6,5,8,4,1,2,3]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,7,5,8,4,1,2,3]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,5,6,8,4,1,2,3]=>[1,7,2,5,4,8,3,6]=>[3,7,5,4,8,2,6,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[5,6,7,8,4,1,2,3]=>[1,5,4,8,3,7,2,6]=>[7,5,3,2,8,6,4,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[8,7,6,4,5,1,2,3]=>[1,8,3,6,2,7,4,5]=>[5,3,7,8,4,6,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[6,7,8,4,5,1,2,3]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,5,4,6,1,2,3]=>[1,8,3,5,6,2,7,4]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[8,7,4,5,6,1,2,3]=>[1,8,3,4,5,6,2,7]=>[7,3,4,5,6,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[7,8,4,5,6,1,2,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,5,6,4,7,1,2,3]=>[1,8,3,6,2,5,7,4]=>[5,3,8,6,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[8,6,4,5,7,1,2,3]=>[1,8,3,4,5,7,2,6]=>[7,3,4,5,8,6,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[8,4,5,6,7,1,2,3]=>[1,8,3,5,7,2,4,6]=>[6,3,7,4,8,5,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[7,6,5,4,8,1,2,3]=>[1,7,2,6,3,5,8,4]=>[3,5,8,6,4,2,7,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[7,6,4,5,8,1,2,3]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,4,5,8,1,2,3]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,4,5,6,8,1,2,3]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,5,4,7,8,1,2,3]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,6,4,7,8,1,2,3]=>[1,5,8,3,4,7,2,6]=>[7,4,5,2,8,6,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,4,6,7,8,1,2,3]=>[1,5,8,3,6,2,4,7]=>[6,4,7,2,5,8,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[4,5,6,7,8,1,2,3]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,7,6,5,3,2,1,4]=>[1,8,4,5,3,6,2,7]=>[7,5,3,4,6,8,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[7,8,6,5,3,2,1,4]=>[1,7,2,8,4,5,3,6]=>[3,7,5,6,8,2,4,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,6,7,5,3,2,1,4]=>[1,8,4,5,3,7,2,6]=>[7,5,3,4,8,6,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[7,6,8,5,3,2,1,4]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,8,5,3,2,1,4]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,5,6,3,2,1,4]=>[1,8,4,6,2,7,3,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[7,8,5,6,3,2,1,4]=>[1,7,2,8,4,6,3,5]=>[3,7,5,8,6,2,4,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,5,6,7,3,2,1,4]=>[1,8,4,7,2,5,3,6]=>[5,7,3,6,8,4,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[7,6,5,8,3,2,1,4]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,7,5,8,3,2,1,4]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,5,6,8,3,2,1,4]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,7,8,3,2,1,4]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,7,8,3,2,1,4]=>[1,5,3,7,2,6,4,8]=>[5,3,7,2,6,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[7,8,6,5,2,3,1,4]=>[1,7,2,8,4,5,3,6]=>[3,7,5,6,8,2,4,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,6,7,5,2,3,1,4]=>[1,8,4,5,2,6,3,7]=>[5,7,3,4,6,8,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[7,6,8,5,2,3,1,4]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,8,5,6,2,3,1,4]=>[1,7,2,8,4,6,3,5]=>[3,7,5,8,6,2,4,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,5,6,7,2,3,1,4]=>[1,8,4,7,2,5,3,6]=>[5,7,3,6,8,4,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[7,6,5,8,2,3,1,4]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[7,5,6,8,2,3,1,4]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,7,8,2,3,1,4]=>[1,6,3,7,2,5,4,8]=>[5,3,7,6,2,4,8,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,6,7,8,2,3,1,4]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,6,5,3,1,2,4]=>[1,8,4,5,3,6,2,7]=>[7,5,3,4,6,8,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[7,8,6,5,3,1,2,4]=>[1,7,2,8,4,5,3,6]=>[3,7,5,6,8,2,4,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,6,7,5,3,1,2,4]=>[1,8,4,5,3,7,2,6]=>[7,5,3,4,8,6,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[7,6,8,5,3,1,2,4]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,7,5,6,3,1,2,4]=>[1,8,4,6,2,7,3,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[7,8,5,6,3,1,2,4]=>[1,7,2,8,4,6,3,5]=>[3,7,5,8,6,2,4,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,6,5,8,3,1,2,4]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,7,5,8,3,1,2,4]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,5,6,8,3,1,2,4]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,7,8,3,1,2,4]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,7,8,3,1,2,4]=>[1,5,3,7,2,6,4,8]=>[5,3,7,2,6,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[7,8,6,5,2,1,3,4]=>[1,7,3,6,2,8,4,5]=>[5,3,7,8,4,2,6,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[6,7,8,5,2,1,3,4]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,5,6,2,1,3,4]=>[1,8,4,6,2,7,3,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[7,8,5,6,2,1,3,4]=>[1,7,3,5,2,8,4,6]=>[5,3,7,4,8,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[8,6,5,7,2,1,3,4]=>[1,8,4,7,3,5,2,6]=>[7,5,3,6,8,4,2,1]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]
[8,5,6,7,2,1,3,4]=>[1,8,4,7,3,6,2,5]=>[7,5,3,8,6,4,2,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]
[7,6,5,8,2,1,3,4]=>[1,7,3,5,2,6,4,8]=>[5,3,7,4,6,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,7,5,8,2,1,3,4]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,5,7,8,2,1,3,4]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,7,8,2,1,3,4]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,6,5,1,2,3,4]=>[1,7,3,6,2,8,4,5]=>[5,3,7,8,4,2,6,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[8,6,7,5,1,2,3,4]=>[1,8,4,5,2,6,3,7]=>[5,7,3,4,6,8,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[6,7,8,5,1,2,3,4]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,5,6,1,2,3,4]=>[1,8,4,6,2,7,3,5]=>[5,7,3,8,4,6,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[7,8,5,6,1,2,3,4]=>[1,7,3,5,2,8,4,6]=>[5,3,7,4,8,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[8,6,5,7,1,2,3,4]=>[1,8,4,7,3,5,2,6]=>[7,5,3,6,8,4,2,1]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]
[8,5,6,7,1,2,3,4]=>[1,8,4,7,3,6,2,5]=>[7,5,3,8,6,4,2,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]
[7,6,5,8,1,2,3,4]=>[1,7,3,5,2,6,4,8]=>[5,3,7,4,6,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,7,5,8,1,2,3,4]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,5,7,8,1,2,3,4]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,7,8,1,2,3,4]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,6,4,3,2,1,5]=>[1,8,5,3,6,2,7,4]=>[6,4,8,3,5,7,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[7,8,6,4,3,2,1,5]=>[1,7,2,8,5,3,6,4]=>[3,6,8,5,7,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,6,7,4,3,2,1,5]=>[1,8,5,3,7,2,6,4]=>[6,4,8,3,7,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[7,6,8,4,3,2,1,5]=>[1,7,2,6,3,8,5,4]=>[3,5,8,7,4,2,6,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,7,8,4,3,2,1,5]=>[1,6,2,7,3,8,5,4]=>[3,5,8,7,2,4,6,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,7,6,3,4,2,1,5]=>[1,8,5,4,3,6,2,7]=>[7,5,4,3,6,8,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[7,8,6,3,4,2,1,5]=>[1,7,2,8,5,4,3,6]=>[3,7,6,5,8,2,4,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[6,7,8,3,4,2,1,5]=>[1,6,2,7,3,8,5,4]=>[3,5,8,7,2,4,6,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,7,6,4,2,3,1,5]=>[1,8,5,2,7,3,6,4]=>[4,6,8,3,7,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[8,6,7,4,2,3,1,5]=>[1,8,5,2,6,3,7,4]=>[4,6,8,3,5,7,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[7,6,8,4,2,3,1,5]=>[1,7,2,6,3,8,5,4]=>[3,5,8,7,4,2,6,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,7,8,4,2,3,1,5]=>[1,6,3,8,5,2,7,4]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[8,7,6,3,2,4,1,5]=>[1,8,5,2,7,3,6,4]=>[4,6,8,3,7,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[8,6,7,3,2,4,1,5]=>[1,8,5,2,6,4,3,7]=>[4,7,6,3,5,8,2,1]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[8,6,7,2,3,4,1,5]=>[1,8,5,3,7,2,6,4]=>[6,4,8,3,7,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[7,6,8,2,3,4,1,5]=>[1,7,2,6,4,3,8,5]=>[3,6,5,8,4,2,7,1]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]
[8,7,6,4,3,1,2,5]=>[1,8,5,3,6,2,7,4]=>[6,4,8,3,5,7,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[6,7,8,4,3,1,2,5]=>[1,6,2,7,3,8,5,4]=>[3,5,8,7,2,4,6,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,7,6,3,4,1,2,5]=>[1,8,5,4,3,6,2,7]=>[7,5,4,3,6,8,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[7,8,6,3,4,1,2,5]=>[1,7,2,8,5,4,3,6]=>[3,7,6,5,8,2,4,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[6,7,8,3,4,1,2,5]=>[1,6,2,7,3,8,5,4]=>[3,5,8,7,2,4,6,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,7,6,4,2,1,3,5]=>[1,8,5,2,7,3,6,4]=>[4,6,8,3,7,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[7,8,6,4,2,1,3,5]=>[1,7,3,6,2,8,5,4]=>[5,3,8,7,4,2,6,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[8,6,7,4,2,1,3,5]=>[1,8,5,2,6,3,7,4]=>[4,6,8,3,5,7,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[6,7,8,4,2,1,3,5]=>[1,6,2,7,3,8,5,4]=>[3,5,8,7,2,4,6,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,7,6,4,1,2,3,5]=>[1,8,5,2,7,3,6,4]=>[4,6,8,3,7,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[7,8,6,4,1,2,3,5]=>[1,7,3,6,2,8,5,4]=>[5,3,8,7,4,2,6,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[7,6,8,4,1,2,3,5]=>[1,7,3,8,5,2,6,4]=>[6,3,8,5,7,2,4,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,7,8,4,1,2,3,5]=>[1,6,2,7,3,8,5,4]=>[3,5,8,7,2,4,6,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,7,6,3,2,1,4,5]=>[1,8,5,2,7,4,3,6]=>[4,7,6,3,8,5,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[8,6,7,3,2,1,4,5]=>[1,8,5,2,6,3,7,4]=>[4,6,8,3,5,7,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[7,6,8,3,2,1,4,5]=>[1,7,4,3,8,5,2,6]=>[7,4,3,6,8,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[6,7,8,3,2,1,4,5]=>[1,6,2,7,4,3,8,5]=>[3,6,5,8,2,4,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,7,6,2,3,1,4,5]=>[1,8,5,3,6,2,7,4]=>[6,4,8,3,5,7,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[8,6,7,2,3,1,4,5]=>[1,8,5,3,7,4,2,6]=>[7,4,6,3,8,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[7,6,8,2,3,1,4,5]=>[1,7,4,2,6,3,8,5]=>[4,6,3,8,5,2,7,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,7,8,2,3,1,4,5]=>[1,6,2,7,4,3,8,5]=>[3,6,5,8,2,4,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,7,6,3,1,2,4,5]=>[1,8,5,2,7,4,3,6]=>[4,7,6,3,8,5,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[8,6,7,3,1,2,4,5]=>[1,8,5,2,6,3,7,4]=>[4,6,8,3,5,7,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[7,6,8,3,1,2,4,5]=>[1,7,4,3,8,5,2,6]=>[7,4,3,6,8,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[6,7,8,3,1,2,4,5]=>[1,6,2,7,4,3,8,5]=>[3,6,5,8,2,4,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,7,6,2,1,3,4,5]=>[1,8,5,2,7,4,3,6]=>[4,7,6,3,8,5,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[8,6,7,2,1,3,4,5]=>[1,8,5,2,6,3,7,4]=>[4,6,8,3,5,7,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[6,7,8,2,1,3,4,5]=>[1,6,3,8,5,2,7,4]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[8,7,6,1,2,3,4,5]=>[1,8,5,2,7,4,3,6]=>[4,7,6,3,8,5,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[8,6,7,1,2,3,4,5]=>[1,8,5,2,6,3,7,4]=>[4,6,8,3,5,7,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[7,6,8,1,2,3,4,5]=>[1,7,4,2,6,3,8,5]=>[4,6,3,8,5,2,7,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,7,8,1,2,3,4,5]=>[1,6,3,8,5,2,7,4]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[7,8,5,4,3,2,1,6]=>[1,7,2,8,6,3,5,4]=>[3,6,8,7,5,2,4,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[7,8,4,5,3,2,1,6]=>[1,7,2,8,6,3,4,5]=>[3,6,7,8,5,2,4,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,8,3,4,5,2,1,6]=>[1,7,2,8,6,3,4,5]=>[3,6,7,8,5,2,4,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,7,4,5,2,3,1,6]=>[1,8,6,3,4,5,2,7]=>[7,4,5,6,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[7,8,4,5,2,3,1,6]=>[1,7,2,8,6,3,4,5]=>[3,6,7,8,5,2,4,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,8,5,2,3,4,1,6]=>[1,7,2,8,6,4,3,5]=>[3,7,6,8,5,2,4,1]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]
[8,7,4,3,2,5,1,6]=>[1,8,6,5,2,7,3,4]=>[5,7,8,4,3,6,2,1]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[7,8,4,3,2,5,1,6]=>[1,7,2,8,6,5,3,4]=>[3,7,8,6,5,2,4,1]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[8,7,3,4,2,5,1,6]=>[1,8,6,5,2,7,3,4]=>[5,7,8,4,3,6,2,1]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[7,8,3,4,2,5,1,6]=>[1,7,2,8,6,5,3,4]=>[3,7,8,6,5,2,4,1]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[8,7,2,3,4,5,1,6]=>[1,8,6,5,4,3,2,7]=>[7,6,5,4,3,8,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[7,8,2,3,4,5,1,6]=>[1,7,2,8,6,5,4,3]=>[3,8,7,6,5,2,4,1]=>[[[.,[[[[.,.],.],.],.]],[.,.]],.]
[7,8,5,4,3,1,2,6]=>[1,7,2,8,6,3,5,4]=>[3,6,8,7,5,2,4,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[7,8,5,3,4,1,2,6]=>[1,7,2,8,6,3,5,4]=>[3,6,8,7,5,2,4,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[7,8,3,4,5,1,2,6]=>[1,7,2,8,6,3,4,5]=>[3,6,7,8,5,2,4,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,8,5,4,2,1,3,6]=>[1,7,3,5,2,8,6,4]=>[5,3,8,4,7,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,8,5,4,1,2,3,6]=>[1,7,3,5,2,8,6,4]=>[5,3,8,4,7,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,8,4,5,1,2,3,6]=>[1,7,3,4,5,2,8,6]=>[6,3,4,5,8,2,7,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[7,8,5,3,2,1,4,6]=>[1,7,4,3,5,2,8,6]=>[6,4,3,5,8,2,7,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[7,8,5,3,1,2,4,6]=>[1,7,4,3,5,2,8,6]=>[6,4,3,5,8,2,7,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[8,7,5,2,1,3,4,6]=>[1,8,6,3,5,2,7,4]=>[6,4,8,5,3,7,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[7,8,5,2,1,3,4,6]=>[1,7,4,2,8,6,3,5]=>[4,7,3,8,6,2,5,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[8,7,5,1,2,3,4,6]=>[1,8,6,3,5,2,7,4]=>[6,4,8,5,3,7,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[7,8,5,1,2,3,4,6]=>[1,7,4,2,8,6,3,5]=>[4,7,3,8,6,2,5,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,8,3,2,4,1,5,6]=>[1,7,5,4,2,8,6,3]=>[5,8,4,3,7,2,6,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[7,8,2,3,4,1,5,6]=>[1,7,5,4,3,2,8,6]=>[6,5,4,3,8,2,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[8,7,4,2,1,3,5,6]=>[1,8,6,3,4,2,7,5]=>[6,4,5,8,3,7,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[8,7,4,1,2,3,5,6]=>[1,8,6,3,4,2,7,5]=>[6,4,5,8,3,7,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[8,7,3,2,1,4,5,6]=>[1,8,6,4,2,7,5,3]=>[5,8,4,7,3,6,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[7,8,3,2,1,4,5,6]=>[1,7,5,2,8,6,4,3]=>[4,8,7,3,6,2,5,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[8,7,2,3,1,4,5,6]=>[1,8,6,4,3,2,7,5]=>[6,5,4,8,3,7,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[7,8,2,3,1,4,5,6]=>[1,7,5,2,8,6,4,3]=>[4,8,7,3,6,2,5,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,8,3,1,2,4,5,6]=>[1,7,5,2,8,6,4,3]=>[4,8,7,3,6,2,5,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[8,7,2,1,3,4,5,6]=>[1,8,6,4,2,7,5,3]=>[5,8,4,7,3,6,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[7,8,2,1,3,4,5,6]=>[1,7,5,3,2,8,6,4]=>[5,4,8,3,7,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[8,7,1,2,3,4,5,6]=>[1,8,6,4,2,7,5,3]=>[5,8,4,7,3,6,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[7,8,1,2,3,4,5,6]=>[1,7,5,3,2,8,6,4]=>[5,4,8,3,7,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[8,6,5,4,3,2,1,7]=>[1,8,7,2,6,3,5,4]=>[4,6,8,7,5,3,2,1]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]
[8,5,4,6,3,2,1,7]=>[1,8,7,2,5,3,4,6]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[8,6,5,3,4,2,1,7]=>[1,8,7,2,6,3,5,4]=>[4,6,8,7,5,3,2,1]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]
[8,5,6,3,4,2,1,7]=>[1,8,7,2,5,4,3,6]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[8,4,5,3,6,2,1,7]=>[1,8,7,2,4,3,5,6]=>[4,6,5,7,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[8,3,4,5,6,2,1,7]=>[1,8,7,2,3,4,5,6]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[8,6,5,4,2,3,1,7]=>[1,8,7,2,6,3,5,4]=>[4,6,8,7,5,3,2,1]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]
[8,6,5,3,2,4,1,7]=>[1,8,7,2,6,4,3,5]=>[4,7,6,8,5,3,2,1]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]
[8,6,5,2,3,4,1,7]=>[1,8,7,2,6,4,3,5]=>[4,7,6,8,5,3,2,1]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]
[8,6,4,3,2,5,1,7]=>[1,8,7,2,6,5,3,4]=>[4,7,8,6,5,3,2,1]=>[[[[.,[[[.,[.,.]],.],.]],.],.],.]
[8,6,4,2,3,5,1,7]=>[1,8,7,2,6,5,3,4]=>[4,7,8,6,5,3,2,1]=>[[[[.,[[[.,[.,.]],.],.]],.],.],.]
[8,6,3,2,4,5,1,7]=>[1,8,7,2,6,5,4,3]=>[4,8,7,6,5,3,2,1]=>[[[[.,[[[[.,.],.],.],.]],.],.],.]
[8,5,4,3,2,6,1,7]=>[1,8,7,2,5,3,4,6]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[8,4,3,5,2,6,1,7]=>[1,8,7,2,4,5,3,6]=>[4,7,5,6,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[8,5,4,2,3,6,1,7]=>[1,8,7,2,5,3,4,6]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[8,4,5,2,3,6,1,7]=>[1,8,7,2,4,3,5,6]=>[4,6,5,7,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[8,5,3,2,4,6,1,7]=>[1,8,7,2,5,4,3,6]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[8,5,2,3,4,6,1,7]=>[1,8,7,2,5,4,3,6]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[8,3,4,2,5,6,1,7]=>[1,8,7,2,3,4,5,6]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[8,3,2,4,5,6,1,7]=>[1,8,7,2,3,4,5,6]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[8,2,3,4,5,6,1,7]=>[1,8,7,2,3,4,5,6]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
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[8,6,5,3,4,1,2,7]=>[1,8,7,2,6,3,5,4]=>[4,6,8,7,5,3,2,1]=>[[[[.,[[.,[[.,.],.]],.]],.],.],.]
[8,5,6,3,4,1,2,7]=>[1,8,7,2,5,4,3,6]=>[4,7,6,5,8,3,2,1]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[8,4,5,3,6,1,2,7]=>[1,8,7,2,4,3,5,6]=>[4,6,5,7,8,3,2,1]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[8,3,4,5,6,1,2,7]=>[1,8,7,2,3,4,5,6]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[8,5,6,4,2,1,3,7]=>[1,8,7,3,6,2,5,4]=>[6,4,8,7,5,3,2,1]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]
[8,6,4,5,2,1,3,7]=>[1,8,7,3,4,5,2,6]=>[7,4,5,6,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[8,5,6,4,1,2,3,7]=>[1,8,7,3,6,2,5,4]=>[6,4,8,7,5,3,2,1]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]
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[8,6,5,3,2,1,4,7]=>[1,8,7,4,3,5,2,6]=>[7,5,4,6,8,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[8,6,5,2,3,1,4,7]=>[1,8,7,4,2,6,3,5]=>[5,7,4,8,6,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[8,5,6,2,3,1,4,7]=>[1,8,7,4,2,5,3,6]=>[5,7,4,6,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,6,5,2,1,3,4,7]=>[1,8,7,4,2,6,3,5]=>[5,7,4,8,6,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[8,5,6,2,1,3,4,7]=>[1,8,7,4,2,5,3,6]=>[5,7,4,6,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,6,5,1,2,3,4,7]=>[1,8,7,4,2,6,3,5]=>[5,7,4,8,6,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[8,5,6,1,2,3,4,7]=>[1,8,7,4,2,5,3,6]=>[5,7,4,6,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,6,4,3,2,1,5,7]=>[1,8,7,5,2,6,3,4]=>[5,7,8,4,6,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
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[8,6,4,2,3,1,5,7]=>[1,8,7,5,3,4,2,6]=>[7,5,6,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[8,6,3,2,4,1,5,7]=>[1,8,7,5,4,2,6,3]=>[6,8,5,4,7,3,2,1]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[8,6,2,3,4,1,5,7]=>[1,8,7,5,4,3,2,6]=>[7,6,5,4,8,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
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[8,6,4,2,1,3,5,7]=>[1,8,7,5,2,6,3,4]=>[5,7,8,4,6,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[8,6,4,1,2,3,5,7]=>[1,8,7,5,2,6,3,4]=>[5,7,8,4,6,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[8,4,5,3,2,1,6,7]=>[1,8,7,6,2,4,3,5]=>[5,7,6,8,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[8,4,3,5,2,1,6,7]=>[1,8,7,6,2,4,5,3]=>[5,8,6,7,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[8,3,4,5,2,1,6,7]=>[1,8,7,6,2,3,4,5]=>[5,6,7,8,4,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[8,4,5,2,3,1,6,7]=>[1,8,7,6,2,4,3,5]=>[5,7,6,8,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[8,5,2,3,4,1,6,7]=>[1,8,7,6,2,5,4,3]=>[5,8,7,6,4,3,2,1]=>[[[[[.,[[[.,.],.],.]],.],.],.],.]
[8,4,2,3,5,1,6,7]=>[1,8,7,6,2,4,3,5]=>[5,7,6,8,4,3,2,1]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[8,2,3,4,5,1,6,7]=>[1,8,7,6,2,3,4,5]=>[5,6,7,8,4,3,2,1]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
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[8,5,4,2,1,3,6,7]=>[1,8,7,6,3,4,2,5]=>[7,5,6,8,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[8,5,4,1,2,3,6,7]=>[1,8,7,6,3,4,2,5]=>[7,5,6,8,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[8,4,5,1,2,3,6,7]=>[1,8,7,6,3,5,2,4]=>[7,5,8,6,4,3,2,1]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]
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[8,5,3,1,2,4,6,7]=>[1,8,7,6,4,2,5,3]=>[6,8,5,7,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[8,5,2,1,3,4,6,7]=>[1,8,7,6,4,2,5,3]=>[6,8,5,7,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[8,5,1,2,3,4,6,7]=>[1,8,7,6,4,2,5,3]=>[6,8,5,7,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
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[8,4,2,3,1,5,6,7]=>[1,8,7,6,5,2,4,3]=>[6,8,7,5,4,3,2,1]=>[[[[[[.,[[.,.],.]],.],.],.],.],.]
[8,2,3,4,1,5,6,7]=>[1,8,7,6,5,2,3,4]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[8,3,4,1,2,5,6,7]=>[1,8,7,6,5,2,3,4]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
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[8,2,3,1,4,5,6,7]=>[1,8,7,6,5,4,2,3]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[8,3,1,2,4,5,6,7]=>[1,8,7,6,5,4,2,3]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[8,2,1,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
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[6,7,5,4,3,2,1,8]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,5,6,4,3,2,1,8]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,7,4,3,2,1,8]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,7,4,3,2,1,8]=>[1,5,3,7,2,6,4,8]=>[5,3,7,2,6,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[7,6,4,5,3,2,1,8]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,4,5,3,2,1,8]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,5,4,6,3,2,1,8]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,5,6,3,2,1,8]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
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[5,4,6,7,3,2,1,8]=>[1,5,3,6,2,4,7,8]=>[5,3,6,2,4,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,7,3,2,1,8]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,6,5,3,4,2,1,8]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,7,5,3,4,2,1,8]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,5,6,3,4,2,1,8]=>[1,7,2,5,4,3,6,8]=>[3,6,5,4,7,2,8,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,6,4,3,5,2,1,8]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,4,3,5,2,1,8]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,6,3,4,5,2,1,8]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,5,4,3,6,2,1,8]=>[1,7,2,5,6,3,4,8]=>[3,6,7,4,5,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,5,3,6,2,1,8]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,3,4,5,6,2,1,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,4,3,7,2,1,8]=>[1,5,7,2,6,3,4,8]=>[4,6,7,2,5,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,6,3,7,2,1,8]=>[1,5,7,2,4,3,6,8]=>[4,6,5,2,7,3,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[3,4,5,6,7,2,1,8]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,6,5,4,2,3,1,8]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[7,5,6,4,2,3,1,8]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,6,7,4,2,3,1,8]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,6,4,5,2,3,1,8]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,4,5,2,3,1,8]=>[1,6,3,4,5,2,7,8]=>[6,3,4,5,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,5,4,6,2,3,1,8]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,5,6,2,3,1,8]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[5,6,4,7,2,3,1,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,5,6,7,2,3,1,8]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,5,7,3,2,4,1,8]=>[1,6,4,3,7,2,5,8]=>[6,4,3,7,2,5,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[6,7,5,2,3,4,1,8]=>[1,6,4,2,7,3,5,8]=>[4,6,3,7,2,5,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[7,5,6,2,3,4,1,8]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,7,2,3,4,1,8]=>[1,6,4,2,5,3,7,8]=>[4,6,3,5,2,7,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[5,6,7,2,3,4,1,8]=>[1,5,3,7,2,6,4,8]=>[5,3,7,2,6,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,7,4,3,2,5,1,8]=>[1,6,5,2,7,3,4,8]=>[4,6,7,3,2,5,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,7,3,4,2,5,1,8]=>[1,6,5,2,7,3,4,8]=>[4,6,7,3,2,5,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,7,2,3,4,5,1,8]=>[1,6,5,4,3,2,7,8]=>[6,5,4,3,2,7,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[7,5,4,3,2,6,1,8]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,5,3,2,6,1,8]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,3,4,2,6,1,8]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,3,5,2,6,1,8]=>[1,7,2,4,5,3,6,8]=>[3,6,4,5,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,4,2,3,6,1,8]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,5,2,3,6,1,8]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,3,2,4,6,1,8]=>[1,7,2,5,4,3,6,8]=>[3,6,5,4,7,2,8,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,4,2,3,5,6,1,8]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,2,3,4,5,6,1,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,4,3,2,7,1,8]=>[1,5,2,6,7,3,4,8]=>[3,6,7,2,4,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,4,6,3,2,7,1,8]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[5,6,3,4,2,7,1,8]=>[1,5,2,6,7,3,4,8]=>[3,6,7,2,4,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,3,4,5,2,7,1,8]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,4,6,2,7,1,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,5,6,2,7,1,8]=>[1,4,6,7,2,3,5,8]=>[5,6,2,7,3,4,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,2,7,1,8]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,5,3,2,4,7,1,8]=>[1,6,7,2,5,4,3,8]=>[4,7,6,5,2,3,8,1]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[6,4,2,3,5,7,1,8]=>[1,6,7,2,4,3,5,8]=>[4,6,5,7,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,3,2,4,5,7,1,8]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,3,4,5,7,1,8]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,4,5,2,6,7,1,8]=>[1,3,5,6,7,2,4,8]=>[6,2,7,3,4,5,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[4,5,2,3,6,7,1,8]=>[1,4,3,2,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,2,3,4,6,7,1,8]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,2,5,6,7,1,8]=>[1,4,5,6,7,2,3,8]=>[6,7,2,3,4,5,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,2,5,6,7,1,8]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,3,5,6,7,1,8]=>[1,4,5,6,7,2,3,8]=>[6,7,2,3,4,5,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,2,4,5,6,7,1,8]=>[1,3,4,5,6,7,2,8]=>[7,2,3,4,5,6,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,6,7,1,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,4,3,1,2,8]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,7,5,4,3,1,2,8]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,5,6,4,3,1,2,8]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,6,4,5,3,1,2,8]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,4,5,6,3,1,2,8]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[5,4,6,7,3,1,2,8]=>[1,5,3,6,2,4,7,8]=>[5,3,6,2,4,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,5,6,7,3,1,2,8]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,6,5,3,4,1,2,8]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[7,5,6,3,4,1,2,8]=>[1,7,2,5,4,3,6,8]=>[3,6,5,4,7,2,8,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[6,7,3,4,5,1,2,8]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,5,3,4,6,1,2,8]=>[1,7,2,5,6,3,4,8]=>[3,6,7,4,5,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,4,5,3,7,1,2,8]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,6,3,4,7,1,2,8]=>[1,5,7,2,6,3,4,8]=>[4,6,7,2,5,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,4,5,7,1,2,8]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,5,6,7,1,2,8]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,7,1,2,8]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,6,5,4,2,1,3,8]=>[1,7,3,5,2,6,4,8]=>[5,3,7,4,6,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,5,7,4,2,1,3,8]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,6,4,5,2,1,3,8]=>[1,7,3,4,5,2,6,8]=>[6,3,4,5,7,2,8,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[7,4,5,6,2,1,3,8]=>[1,7,3,5,2,4,6,8]=>[5,3,6,4,7,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[4,5,6,7,2,1,3,8]=>[1,4,7,3,6,2,5,8]=>[6,4,2,7,5,3,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[7,6,5,4,1,2,3,8]=>[1,7,3,5,2,6,4,8]=>[5,3,7,4,6,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[5,6,7,4,1,2,3,8]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,6,4,5,1,2,3,8]=>[1,7,3,4,5,2,6,8]=>[6,3,4,5,7,2,8,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[7,4,5,6,1,2,3,8]=>[1,7,3,5,2,4,6,8]=>[5,3,6,4,7,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[5,6,4,7,1,2,3,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,5,6,7,1,2,3,8]=>[1,4,7,3,6,2,5,8]=>[6,4,2,7,5,3,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[7,6,5,2,3,1,4,8]=>[1,7,4,2,6,3,5,8]=>[4,6,3,7,5,2,8,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,5,6,2,3,1,4,8]=>[1,7,4,2,5,3,6,8]=>[4,6,3,5,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[6,5,7,2,3,1,4,8]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,7,3,1,2,4,8]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,6,5,2,1,3,4,8]=>[1,7,4,2,6,3,5,8]=>[4,6,3,7,5,2,8,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,5,6,2,1,3,4,8]=>[1,7,4,2,5,3,6,8]=>[4,6,3,5,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[5,6,7,2,1,3,4,8]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,6,5,1,2,3,4,8]=>[1,7,4,2,6,3,5,8]=>[4,6,3,7,5,2,8,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,5,6,1,2,3,4,8]=>[1,7,4,2,5,3,6,8]=>[4,6,3,5,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[6,5,7,1,2,3,4,8]=>[1,6,3,7,4,2,5,8]=>[6,3,5,7,2,4,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,6,7,1,2,3,4,8]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,7,4,3,2,1,5,8]=>[1,6,2,7,5,3,4,8]=>[3,6,7,5,2,4,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,7,3,4,2,1,5,8]=>[1,6,2,7,5,3,4,8]=>[3,6,7,5,2,4,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,7,4,2,3,1,5,8]=>[1,6,2,7,5,3,4,8]=>[3,6,7,5,2,4,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,6,3,2,4,1,5,8]=>[1,7,5,4,2,6,3,8]=>[5,7,4,3,6,2,8,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[6,7,3,2,4,1,5,8]=>[1,6,2,7,5,4,3,8]=>[3,7,6,5,2,4,8,1]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[7,6,2,3,4,1,5,8]=>[1,7,5,4,3,2,6,8]=>[6,5,4,3,7,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[6,7,2,3,4,1,5,8]=>[1,6,2,7,5,4,3,8]=>[3,7,6,5,2,4,8,1]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[6,7,3,4,1,2,5,8]=>[1,6,2,7,5,3,4,8]=>[3,6,7,5,2,4,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,7,3,2,1,4,5,8]=>[1,6,4,2,7,5,3,8]=>[4,7,3,6,2,5,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,7,3,1,2,4,5,8]=>[1,6,4,2,7,5,3,8]=>[4,7,3,6,2,5,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[7,6,1,2,3,4,5,8]=>[1,7,5,3,2,6,4,8]=>[5,4,7,3,6,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[6,7,1,2,3,4,5,8]=>[1,6,4,2,7,5,3,8]=>[4,7,3,6,2,5,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[7,4,5,3,2,1,6,8]=>[1,7,6,2,4,3,5,8]=>[4,6,5,7,3,2,8,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[7,4,3,5,2,1,6,8]=>[1,7,6,2,4,5,3,8]=>[4,7,5,6,3,2,8,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[7,3,4,5,2,1,6,8]=>[1,7,6,2,3,4,5,8]=>[4,5,6,7,3,2,8,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[7,4,2,3,5,1,6,8]=>[1,7,6,2,4,3,5,8]=>[4,6,5,7,3,2,8,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[7,2,3,4,5,1,6,8]=>[1,7,6,2,3,4,5,8]=>[4,5,6,7,3,2,8,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[7,4,5,2,1,3,6,8]=>[1,7,6,3,5,2,4,8]=>[6,4,7,5,3,2,8,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[7,4,5,1,2,3,6,8]=>[1,7,6,3,5,2,4,8]=>[6,4,7,5,3,2,8,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[7,4,3,2,1,5,6,8]=>[1,7,6,5,2,4,3,8]=>[5,7,6,4,3,2,8,1]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]
[7,4,3,1,2,5,6,8]=>[1,7,6,5,2,4,3,8]=>[5,7,6,4,3,2,8,1]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]
[7,4,1,2,3,5,6,8]=>[1,7,6,5,3,2,4,8]=>[6,5,7,4,3,2,8,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[7,3,2,1,4,5,6,8]=>[1,7,6,5,4,2,3,8]=>[6,7,5,4,3,2,8,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[7,2,3,1,4,5,6,8]=>[1,7,6,5,4,2,3,8]=>[6,7,5,4,3,2,8,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[7,3,1,2,4,5,6,8]=>[1,7,6,5,4,2,3,8]=>[6,7,5,4,3,2,8,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[7,2,1,3,4,5,6,8]=>[1,7,6,5,4,3,2,8]=>[7,6,5,4,3,2,8,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[7,1,2,3,4,5,6,8]=>[1,7,6,5,4,3,2,8]=>[7,6,5,4,3,2,8,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[6,5,4,3,2,1,7,8]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,4,3,2,1,7,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,4,6,3,2,1,7,8]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,5,6,3,2,1,7,8]=>[1,4,3,6,2,5,7,8]=>[5,3,2,6,4,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[6,5,3,4,2,1,7,8]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,3,4,2,1,7,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,3,4,5,2,1,7,8]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,3,6,2,1,7,8]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[3,4,5,6,2,1,7,8]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,4,6,2,3,1,7,8]=>[1,5,3,6,2,4,7,8]=>[5,3,6,2,4,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,6,2,3,4,1,7,8]=>[1,5,4,3,2,6,7,8]=>[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[6,4,3,2,5,1,7,8]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,2,3,4,5,1,7,8]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,5,2,6,1,7,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,3,2,4,6,1,7,8]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,3,4,6,1,7,8]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,4,2,5,6,1,7,8]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[3,2,4,5,6,1,7,8]=>[1,3,4,5,6,2,7,8]=>[6,2,3,4,5,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,6,1,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,4,3,1,2,7,8]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,4,3,1,2,7,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,4,5,3,1,2,7,8]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,4,6,3,1,2,7,8]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[5,6,3,4,1,2,7,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,4,3,6,1,2,7,8]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,3,5,6,1,2,7,8]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,1,2,7,8]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,6,4,2,1,3,7,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,4,6,2,1,3,7,8]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,5,6,2,1,3,7,8]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,5,6,1,2,3,7,8]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,5,3,2,1,4,7,8]=>[1,6,4,2,5,3,7,8]=>[4,6,3,5,2,7,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[5,6,2,1,3,4,7,8]=>[1,5,3,2,6,4,7,8]=>[4,3,6,2,5,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[6,5,1,2,3,4,7,8]=>[1,6,4,2,5,3,7,8]=>[4,6,3,5,2,7,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[5,6,1,2,3,4,7,8]=>[1,5,3,2,6,4,7,8]=>[4,3,6,2,5,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[6,3,4,2,1,5,7,8]=>[1,6,5,2,3,4,7,8]=>[4,5,6,3,2,7,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,2,1,3,4,5,7,8]=>[1,6,5,4,3,2,7,8]=>[6,5,4,3,2,7,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[6,1,2,3,4,5,7,8]=>[1,6,5,4,3,2,7,8]=>[6,5,4,3,2,7,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[5,4,3,2,1,6,7,8]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,5,3,2,1,6,7,8]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,3,4,2,1,6,7,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,5,2,1,6,7,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,5,2,1,6,7,8]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,4,2,3,1,6,7,8]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,5,2,3,1,6,7,8]=>[1,4,3,2,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,3,2,4,1,6,7,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,3,4,1,6,7,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,2,5,1,6,7,8]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,2,5,1,6,7,8]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,3,5,1,6,7,8]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,2,4,5,1,6,7,8]=>[1,3,4,5,2,6,7,8]=>[5,2,3,4,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,1,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,3,1,2,6,7,8]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[5,3,4,1,2,6,7,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,5,1,2,6,7,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,5,1,2,6,7,8]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,4,2,1,3,6,7,8]=>[1,5,3,2,4,6,7,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,5,2,1,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,4,1,2,3,6,7,8]=>[1,5,3,2,4,6,7,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,5,1,2,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,3,2,1,4,6,7,8]=>[1,5,4,2,3,6,7,8]=>[4,5,3,2,6,7,8,1]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[5,2,3,1,4,6,7,8]=>[1,5,4,2,3,6,7,8]=>[4,5,3,2,6,7,8,1]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[5,3,1,2,4,6,7,8]=>[1,5,4,2,3,6,7,8]=>[4,5,3,2,6,7,8,1]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[5,2,1,3,4,6,7,8]=>[1,5,4,3,2,6,7,8]=>[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[5,1,2,3,4,6,7,8]=>[1,5,4,3,2,6,7,8]=>[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[4,3,2,1,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,2,1,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,3,1,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,2,4,1,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,1,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,1,2,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,1,2,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,1,3,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[4,1,2,3,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[3,2,1,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,7,5,4,3,2,1]=>[1,6,3,7,2,8,4,5]=>[5,3,7,8,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,8,7,6,4,3,2,1]=>[1,5,4,6,3,7,2,8]=>[7,5,3,2,4,6,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[5,6,8,7,4,3,2,1]=>[1,5,4,7,2,6,3,8]=>[5,7,3,2,6,4,8,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,7,6,8,4,3,2,1]=>[1,5,4,8,2,7,3,6]=>[5,7,3,2,8,6,4,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[4,6,8,7,5,3,2,1]=>[1,4,7,2,6,3,8,5]=>[4,6,2,8,5,3,7,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,4,7,8,6,3,2,1]=>[1,5,6,3,7,2,4,8]=>[6,4,7,2,3,5,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,5,8,7,6,3,2,1]=>[1,4,7,2,5,6,3,8]=>[4,7,2,5,6,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,6,4,8,7,3,2,1]=>[1,5,7,2,6,3,4,8]=>[4,6,7,2,5,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,6,5,8,7,3,2,1]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,5,6,8,7,3,2,1]=>[1,4,8,2,5,7,3,6]=>[4,7,2,5,8,6,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[5,7,6,4,8,3,2,1]=>[1,5,8,2,7,3,6,4]=>[4,6,8,2,7,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,5,7,6,8,3,2,1]=>[1,4,6,3,7,2,5,8]=>[6,4,2,7,3,5,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[3,8,7,6,5,4,2,1]=>[1,3,7,2,8,4,6,5]=>[4,2,6,8,7,3,5,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[3,6,8,7,5,4,2,1]=>[1,3,8,2,6,4,7,5]=>[4,2,6,8,5,7,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[3,7,6,8,5,4,2,1]=>[1,3,6,4,8,2,7,5]=>[6,2,4,8,3,7,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[3,5,7,6,8,4,2,1]=>[1,3,7,2,5,8,4,6]=>[4,2,7,5,8,3,6,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,3,7,8,6,5,2,1]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,4,8,7,6,5,2,1]=>[1,3,8,2,4,7,5,6]=>[4,2,5,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[4,5,3,7,8,6,2,1]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,5,4,7,8,6,2,1]=>[1,3,4,7,2,5,8,6]=>[5,2,3,6,8,4,7,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[4,3,5,7,8,6,2,1]=>[1,4,7,2,3,5,8,6]=>[4,5,2,6,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,4,5,7,8,6,2,1]=>[1,3,5,8,2,4,7,6]=>[5,2,6,3,8,7,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[5,4,3,6,8,7,2,1]=>[1,5,8,2,4,6,7,3]=>[4,8,5,2,6,7,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,3,5,6,8,7,2,1]=>[1,4,6,7,2,3,5,8]=>[5,6,2,7,3,4,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,5,6,8,7,2,1]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[5,4,7,6,3,8,2,1]=>[1,5,3,7,2,4,6,8]=>[5,3,6,2,7,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,5,7,6,4,8,2,1]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,3,7,6,5,8,2,1]=>[1,4,6,8,2,3,7,5]=>[5,6,2,8,3,7,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,4,6,7,5,8,2,1]=>[1,3,6,8,2,4,7,5]=>[5,2,6,8,3,7,4,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,5,3,7,6,8,2,1]=>[1,4,7,2,5,6,8,3]=>[4,8,2,5,6,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,5,4,7,6,8,2,1]=>[1,3,4,7,2,5,6,8]=>[5,2,3,6,7,4,8,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[4,3,5,7,6,8,2,1]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,5,6,4,7,8,2,1]=>[1,3,6,8,2,5,7,4]=>[5,2,8,6,3,7,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,8,7,6,5,4,3,1]=>[1,2,8,3,7,4,6,5]=>[2,4,6,8,7,5,3,1]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[2,7,8,6,5,4,3,1]=>[1,2,7,3,8,4,6,5]=>[2,4,6,8,7,3,5,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[2,7,6,8,5,4,3,1]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[2,6,7,8,5,4,3,1]=>[1,2,6,4,8,3,7,5]=>[2,6,4,8,3,7,5,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[2,6,7,5,8,4,3,1]=>[1,2,6,4,5,8,3,7]=>[2,7,4,5,3,8,6,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[2,6,5,7,8,4,3,1]=>[1,2,6,4,7,3,5,8]=>[2,6,4,7,3,5,8,1]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[2,5,6,7,8,4,3,1]=>[1,2,5,8,3,6,4,7]=>[2,5,7,3,6,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,4,8,7,6,5,3,1]=>[1,2,4,7,3,8,5,6]=>[2,5,3,7,8,4,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,5,4,8,7,6,3,1]=>[1,2,5,7,3,4,8,6]=>[2,5,6,3,8,4,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,4,5,7,8,6,3,1]=>[1,2,4,7,3,5,8,6]=>[2,5,3,6,8,4,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,5,6,4,8,7,3,1]=>[1,2,5,8,3,6,7,4]=>[2,5,8,3,6,7,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,4,6,5,8,7,3,1]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[2,7,6,5,4,8,3,1]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[2,5,6,7,4,8,3,1]=>[1,2,5,4,7,3,6,8]=>[2,6,4,3,7,5,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[2,4,7,6,5,8,3,1]=>[1,2,4,6,8,3,7,5]=>[2,6,3,8,4,7,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,6,5,7,8,3,1]=>[1,2,4,5,7,3,6,8]=>[2,6,3,4,7,5,8,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,5,4,6,7,8,3,1]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,2,8,7,6,5,4,1]=>[1,3,8,2,4,7,5,6]=>[4,2,5,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[3,2,5,7,8,6,4,1]=>[1,3,5,8,2,4,7,6]=>[5,2,6,3,8,7,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[3,2,6,7,5,8,4,1]=>[1,3,6,8,2,4,7,5]=>[5,2,6,8,3,7,4,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[2,3,8,7,6,5,4,1]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[2,3,6,7,8,5,4,1]=>[1,2,3,6,5,8,4,7]=>[2,3,7,5,4,8,6,1]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[2,3,6,5,8,7,4,1]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,3,5,6,8,7,4,1]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,3,7,6,5,8,4,1]=>[1,2,3,7,4,6,8,5]=>[2,3,5,8,6,4,7,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[2,3,5,6,7,8,4,1]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,4,3,8,7,6,5,1]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[2,4,3,6,8,7,5,1]=>[1,2,4,6,7,5,8,3]=>[2,8,3,6,4,5,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[2,3,4,7,8,6,5,1]=>[1,2,3,4,7,5,8,6]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,3,4,6,8,7,5,1]=>[1,2,3,4,6,7,5,8]=>[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,3,4,7,6,8,5,1]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,3,4,6,7,8,5,1]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[5,4,3,2,8,7,6,1]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,4,3,2,7,8,6,1]=>[1,5,7,6,8,2,4,3]=>[6,8,7,2,4,3,5,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[4,5,3,2,8,7,6,1]=>[1,4,2,5,8,3,6,7]=>[3,6,2,4,7,8,5,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,3,5,2,8,7,6,1]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[2,5,4,3,8,7,6,1]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,3,5,4,8,7,6,1]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[4,3,2,5,7,8,6,1]=>[1,4,5,7,6,8,2,3]=>[7,8,2,3,5,4,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,4,2,5,8,7,6,1]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[3,4,2,5,7,8,6,1]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[2,4,3,5,8,7,6,1]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[2,3,4,5,8,7,6,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,3,4,5,7,8,6,1]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[6,5,4,3,2,8,7,1]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,6,5,4,2,8,7,1]=>[1,3,5,2,6,8,4,7]=>[4,2,7,3,5,8,6,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[5,4,3,6,2,8,7,1]=>[1,5,2,4,6,8,3,7]=>[3,7,4,2,5,8,6,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,6,5,4,3,8,7,1]=>[1,2,6,8,3,5,4,7]=>[2,5,7,6,3,8,4,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[2,4,6,5,3,8,7,1]=>[1,2,4,5,3,6,8,7]=>[2,5,3,4,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[4,3,2,6,5,8,7,1]=>[1,4,6,8,2,3,5,7]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,4,2,6,5,8,7,1]=>[1,3,2,4,6,8,5,7]=>[3,2,4,7,5,8,6,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[2,3,4,6,5,8,7,1]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[5,4,3,2,6,8,7,1]=>[1,5,6,8,2,4,3,7]=>[5,7,6,2,3,8,4,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,4,5,3,6,8,7,1]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[4,3,2,5,6,8,7,1]=>[1,4,5,6,8,2,3,7]=>[6,7,2,3,4,8,5,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[3,4,2,5,6,8,7,1]=>[1,3,2,4,5,6,8,7]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,2,4,5,6,8,7,1]=>[1,3,4,5,6,8,2,7]=>[7,2,3,4,5,8,6,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,3,4,5,6,8,7,1]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[5,7,6,4,3,2,8,1]=>[1,5,3,6,2,7,8,4]=>[5,3,8,2,4,6,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[3,5,7,6,4,2,8,1]=>[1,3,7,8,2,5,4,6]=>[5,2,7,6,8,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,4,6,7,5,2,8,1]=>[1,3,6,2,4,7,8,5]=>[4,2,5,8,3,6,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,5,4,7,6,2,8,1]=>[1,3,4,7,8,2,5,6]=>[6,2,3,7,8,4,5,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[3,6,5,4,7,2,8,1]=>[1,3,5,7,8,2,6,4]=>[6,2,8,3,7,4,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,5,6,4,7,2,8,1]=>[1,3,6,2,5,7,8,4]=>[4,2,8,5,3,6,7,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[4,3,6,5,7,2,8,1]=>[1,4,5,7,8,2,3,6]=>[6,7,2,3,8,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,7,6,5,4,3,8,1]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[2,6,5,7,4,3,8,1]=>[1,2,6,3,5,4,7,8]=>[2,4,6,5,3,7,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[2,5,6,7,4,3,8,1]=>[1,2,5,4,7,8,3,6]=>[2,7,4,3,8,5,6,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[2,5,4,7,6,3,8,1]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,4,6,5,7,3,8,1]=>[1,2,4,5,7,8,3,6]=>[2,7,3,4,8,5,6,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,4,5,6,7,3,8,1]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,2,5,6,7,4,8,1]=>[1,3,5,7,8,2,4,6]=>[6,2,7,3,8,4,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,3,5,7,6,4,8,1]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,3,2,7,6,5,8,1]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,4,2,7,6,5,8,1]=>[1,3,2,4,7,8,5,6]=>[3,2,4,7,8,5,6,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[2,4,3,7,6,5,8,1]=>[1,2,4,7,8,3,5,6]=>[2,6,3,7,8,4,5,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[3,2,4,7,6,5,8,1]=>[1,3,4,7,8,2,5,6]=>[6,2,3,7,8,4,5,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[2,3,4,7,6,5,8,1]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,3,4,6,7,5,8,1]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[5,4,3,2,7,6,8,1]=>[1,5,7,8,2,4,3,6]=>[5,7,6,2,8,3,4,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[4,3,5,2,7,6,8,1]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,4,5,2,7,6,8,1]=>[1,3,5,7,8,2,4,6]=>[6,2,7,3,8,4,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,2,5,4,7,6,8,1]=>[1,3,5,7,8,2,4,6]=>[6,2,7,3,8,4,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,3,2,5,7,6,8,1]=>[1,4,5,7,8,2,3,6]=>[6,7,2,3,8,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,4,2,5,7,6,8,1]=>[1,3,2,4,5,7,8,6]=>[3,2,4,5,8,6,7,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[2,4,3,5,7,6,8,1]=>[1,2,4,5,7,8,3,6]=>[2,7,3,4,8,5,6,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[3,2,4,5,7,6,8,1]=>[1,3,4,5,7,8,2,6]=>[7,2,3,4,8,5,6,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,5,7,6,8,1]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[3,5,6,4,2,7,8,1]=>[1,3,6,7,8,2,5,4]=>[6,2,8,7,3,4,5,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[3,4,6,5,2,7,8,1]=>[1,3,6,7,8,2,4,5]=>[6,2,7,8,3,4,5,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,5,4,6,2,7,8,1]=>[1,3,4,6,7,8,2,5]=>[7,2,3,8,4,5,6,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,6,5,4,3,7,8,1]=>[1,2,6,7,8,3,5,4]=>[2,6,8,7,3,4,5,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[2,5,6,4,3,7,8,1]=>[1,2,5,3,6,7,8,4]=>[2,4,8,3,5,6,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,4,6,5,3,7,8,1]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,5,4,6,3,7,8,1]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,4,5,6,3,7,8,1]=>[1,2,4,6,7,8,3,5]=>[2,7,3,8,4,5,6,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,3,5,6,4,7,8,1]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,3,2,6,5,7,8,1]=>[1,4,6,7,8,2,3,5]=>[6,7,2,8,3,4,5,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,2,6,5,7,8,1]=>[1,3,2,4,6,7,8,5]=>[3,2,4,8,5,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,4,3,6,5,7,8,1]=>[1,2,4,6,7,8,3,5]=>[2,7,3,8,4,5,6,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,3,4,6,5,7,8,1]=>[1,2,3,4,6,7,8,5]=>[2,3,4,8,5,6,7,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[3,5,4,2,6,7,8,1]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,5,4,3,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,4,5,3,6,7,8,1]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[3,2,5,4,6,7,8,1]=>[1,3,5,6,7,8,2,4]=>[7,2,8,3,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[2,3,5,4,6,7,8,1]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,4,3,5,6,7,8,1]=>[1,2,4,5,6,7,8,3]=>[2,8,3,4,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,8,7,6,5,4,3,2]=>[1,2,8,3,7,4,6,5]=>[2,4,6,8,7,5,3,1]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[1,7,8,6,5,4,3,2]=>[1,2,7,3,8,4,6,5]=>[2,4,6,8,7,3,5,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[1,7,6,8,5,4,3,2]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,6,7,8,5,4,3,2]=>[1,2,6,4,8,3,7,5]=>[2,6,4,8,3,7,5,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[1,7,6,5,8,4,3,2]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,6,7,5,8,4,3,2]=>[1,2,6,4,5,8,3,7]=>[2,7,4,5,3,8,6,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[1,5,7,6,8,4,3,2]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[1,6,5,7,8,4,3,2]=>[1,2,6,4,7,3,5,8]=>[2,6,4,7,3,5,8,1]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[1,5,6,7,8,4,3,2]=>[1,2,5,8,3,6,4,7]=>[2,5,7,3,6,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,4,8,7,6,5,3,2]=>[1,2,4,7,3,8,5,6]=>[2,5,3,7,8,4,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,4,5,8,7,6,3,2]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[1,4,5,7,8,6,3,2]=>[1,2,4,7,3,5,8,6]=>[2,5,3,6,8,4,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,4,6,5,8,7,3,2]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[1,5,4,6,8,7,3,2]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,7,6,5,4,8,3,2]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,4,7,6,5,8,3,2]=>[1,2,4,6,8,3,7,5]=>[2,6,3,8,4,7,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[1,5,4,6,7,8,3,2]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,3,8,7,6,5,4,2]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[1,3,7,8,6,5,4,2]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,3,6,8,7,5,4,2]=>[1,2,3,6,5,7,4,8]=>[2,3,7,5,4,6,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,3,6,7,8,5,4,2]=>[1,2,3,6,5,8,4,7]=>[2,3,7,5,4,8,6,1]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[1,3,5,6,8,7,4,2]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[1,3,5,6,7,8,4,2]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[1,4,3,8,7,6,5,2]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[1,4,3,6,8,7,5,2]=>[1,2,4,6,7,5,8,3]=>[2,8,3,6,4,5,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,3,4,8,7,6,5,2]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[1,3,4,7,6,8,5,2]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,3,4,6,7,8,5,2]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[1,5,4,3,8,7,6,2]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,3,5,4,8,7,6,2]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[1,4,3,5,8,7,6,2]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[1,3,4,5,8,7,6,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[1,3,4,5,7,8,6,2]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[1,6,5,4,3,8,7,2]=>[1,2,6,8,3,5,4,7]=>[2,5,7,6,3,8,4,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[1,4,6,5,3,8,7,2]=>[1,2,4,5,3,6,8,7]=>[2,5,3,4,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[1,4,5,3,6,8,7,2]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[1,3,4,5,6,8,7,2]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[1,7,6,5,4,3,8,2]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,6,7,5,4,3,8,2]=>[1,2,6,3,7,8,4,5]=>[2,4,7,8,3,5,6,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,6,5,7,4,3,8,2]=>[1,2,6,3,5,4,7,8]=>[2,4,6,5,3,7,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[1,5,6,7,4,3,8,2]=>[1,2,5,4,7,8,3,6]=>[2,7,4,3,8,5,6,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[1,5,6,4,7,3,8,2]=>[1,2,5,7,8,3,6,4]=>[2,6,8,3,7,4,5,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,4,6,5,7,3,8,2]=>[1,2,4,5,7,8,3,6]=>[2,7,3,4,8,5,6,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[1,4,5,6,7,3,8,2]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,3,5,7,6,4,8,2]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,3,6,5,7,4,8,2]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,3,4,7,6,5,8,2]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,3,4,6,7,5,8,2]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,3,4,5,7,6,8,2]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[1,6,5,4,3,7,8,2]=>[1,2,6,7,8,3,5,4]=>[2,6,8,7,3,4,5,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[1,5,4,6,3,7,8,2]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,3,5,6,4,7,8,2]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,4,3,6,5,7,8,2]=>[1,2,4,6,7,8,3,5]=>[2,7,3,8,4,5,6,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,3,4,6,5,7,8,2]=>[1,2,3,4,6,7,8,5]=>[2,3,4,8,5,6,7,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,5,4,3,6,7,8,2]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,4,5,3,6,7,8,2]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,3,5,4,6,7,8,2]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,4,3,5,6,7,8,2]=>[1,2,4,5,6,7,8,3]=>[2,8,3,4,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,3,4,5,6,7,8,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,8,7,6,5,4,3]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[2,1,7,8,6,5,4,3]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[2,1,6,8,7,5,4,3]=>[1,2,3,6,5,7,4,8]=>[2,3,7,5,4,6,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,1,7,6,8,5,4,3]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[2,1,6,7,8,5,4,3]=>[1,2,3,6,5,8,4,7]=>[2,3,7,5,4,8,6,1]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[2,1,6,5,8,7,4,3]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,1,5,6,8,7,4,3]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,1,7,6,5,8,4,3]=>[1,2,3,7,4,6,8,5]=>[2,3,5,8,6,4,7,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[2,1,5,6,7,8,4,3]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,1,4,8,7,6,5,3]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[2,1,4,7,8,6,5,3]=>[1,2,3,4,7,5,8,6]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,1,4,6,8,7,5,3]=>[1,2,3,4,6,7,5,8]=>[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,1,4,7,6,8,5,3]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,1,4,6,7,8,5,3]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,1,5,4,8,7,6,3]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,1,4,5,8,7,6,3]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,1,4,5,7,8,6,3]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[2,1,4,6,5,8,7,3]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,1,4,5,6,8,7,3]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[2,1,6,7,5,4,8,3]=>[1,2,3,6,4,7,8,5]=>[2,3,5,8,4,6,7,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,1,5,7,6,4,8,3]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,1,6,5,7,4,8,3]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,1,4,7,6,5,8,3]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,1,4,6,7,5,8,3]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,1,5,6,4,7,8,3]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,1,5,4,6,7,8,3]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,1,4,5,6,7,8,3]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,8,7,6,5,4,3]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[1,2,7,8,6,5,4,3]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,2,7,6,8,5,4,3]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
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[2,4,3,6,5,1,8,7]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,5,4,2,6,1,8,7]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,3,5,2,6,1,8,7]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,5,4,3,6,1,8,7]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,4,5,3,6,1,8,7]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[3,4,2,5,6,1,8,7]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,4,3,5,6,1,8,7]=>[1,2,4,5,6,3,7,8]=>[2,6,3,4,5,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,6,1,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,5,4,3,2,8,7]=>[1,2,6,3,5,4,7,8]=>[2,4,6,5,3,7,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[1,5,6,4,3,2,8,7]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,4,6,3,2,8,7]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,3,6,5,4,2,8,7]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,3,4,5,6,2,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,6,5,4,3,8,7]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,1,5,6,4,3,8,7]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,1,4,6,5,3,8,7]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,1,5,4,6,3,8,7]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,1,4,5,6,3,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,4,5,6,3,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,3,1,6,5,4,8,7]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,3,2,6,5,4,8,7]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,3,2,5,6,4,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,3,6,5,4,8,7]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,1,3,5,6,4,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,6,5,4,8,7]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,2,3,5,6,4,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,2,1,6,5,8,7]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,2,1,6,5,8,7]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,4,3,1,6,5,8,7]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[3,2,4,1,6,5,8,7]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,1,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,4,2,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,4,3,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,4,3,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,3,1,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,2,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,3,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,4,3,2,1,6,8,7]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,5,3,2,1,6,8,7]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,5,4,2,1,6,8,7]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,3,5,2,1,6,8,7]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,5,2,1,6,8,7]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[2,5,4,3,1,6,8,7]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,4,5,3,1,6,8,7]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[3,2,5,4,1,6,8,7]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[2,3,5,4,1,6,8,7]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,4,3,5,1,6,8,7]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,1,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,5,3,2,6,8,7]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,3,5,4,2,6,8,7]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,3,4,5,2,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,5,4,3,6,8,7]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,1,4,5,3,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,5,4,3,6,8,7]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,1,3,5,4,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,5,4,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,2,1,5,6,8,7]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,2,1,5,6,8,7]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[3,2,4,1,5,6,8,7]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,1,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,3,2,5,6,8,7]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,3,4,2,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,4,3,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,4,3,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,1,4,5,6,8,7]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,2,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,3,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,6,4,3,2,1,8]=>[1,5,3,6,2,7,4,8]=>[5,3,7,2,4,6,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,6,7,5,3,2,1,8]=>[1,4,5,3,7,2,6,8]=>[6,4,2,3,7,5,8,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[5,4,7,6,3,2,1,8]=>[1,5,3,7,2,4,6,8]=>[5,3,6,2,7,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,5,7,6,4,2,1,8]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,5,3,7,6,2,1,8]=>[1,4,7,2,5,6,3,8]=>[4,7,2,5,6,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,5,4,7,6,2,1,8]=>[1,3,4,7,2,5,6,8]=>[5,2,3,6,7,4,8,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[4,3,5,7,6,2,1,8]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,6,5,4,7,2,1,8]=>[1,3,5,7,2,6,4,8]=>[5,2,7,3,6,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,7,6,5,4,3,1,8]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[2,6,7,5,4,3,1,8]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,5,6,7,4,3,1,8]=>[1,2,5,4,7,3,6,8]=>[2,6,4,3,7,5,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[2,5,4,7,6,3,1,8]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,5,6,4,7,3,1,8]=>[1,2,5,7,3,6,4,8]=>[2,5,7,3,6,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,5,4,6,7,3,1,8]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,4,5,6,7,3,1,8]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,2,6,5,7,4,1,8]=>[1,3,6,4,5,7,2,8]=>[7,2,4,5,3,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,2,5,6,7,4,1,8]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,3,7,6,5,4,1,8]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[2,3,6,7,5,4,1,8]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,3,5,7,6,4,1,8]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,3,6,5,7,4,1,8]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,3,5,6,7,4,1,8]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[4,3,2,6,7,5,1,8]=>[1,4,6,5,7,2,3,8]=>[6,7,2,4,3,5,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,3,4,7,6,5,1,8]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,3,4,6,7,5,1,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[5,4,3,2,7,6,1,8]=>[1,5,7,2,4,3,6,8]=>[4,6,5,2,7,3,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[4,5,3,2,7,6,1,8]=>[1,4,2,5,7,3,6,8]=>[3,6,2,4,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,5,2,7,6,1,8]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,4,5,2,7,6,1,8]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,2,5,4,7,6,1,8]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,4,2,5,7,6,1,8]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,5,7,6,1,8]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[3,4,6,5,2,7,1,8]=>[1,3,6,7,2,4,5,8]=>[5,2,6,7,3,4,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,5,4,6,2,7,1,8]=>[1,3,4,6,7,2,5,8]=>[6,2,3,7,4,5,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,5,4,6,3,7,1,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,2,6,5,4,7,1,8]=>[1,3,6,7,2,4,5,8]=>[5,2,6,7,3,4,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,3,5,6,4,7,1,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,3,2,6,5,7,1,8]=>[1,4,6,7,2,3,5,8]=>[5,6,2,7,3,4,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,2,6,5,7,1,8]=>[1,3,2,4,6,7,5,8]=>[3,2,4,7,5,6,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,3,4,6,5,7,1,8]=>[1,2,3,4,6,7,5,8]=>[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[3,5,4,2,6,7,1,8]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,4,5,3,6,7,1,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,3,5,4,6,7,1,8]=>[1,2,3,5,6,7,4,8]=>[2,3,7,4,5,6,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
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[1,6,7,5,4,3,2,8]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
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[1,4,3,5,7,6,2,8]=>[1,2,4,5,7,3,6,8]=>[2,6,3,4,7,5,8,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
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[1,3,6,5,4,7,2,8]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,3,5,6,4,7,2,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
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[1,4,5,3,6,7,2,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
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[2,1,7,6,5,4,3,8]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
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[1,2,7,6,5,4,3,8]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[1,2,6,7,5,4,3,8]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,2,5,7,6,4,3,8]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,5,6,7,4,3,8]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
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[1,2,5,4,6,7,3,8]=>[1,2,3,5,6,7,4,8]=>[2,3,7,4,5,6,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
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[3,2,1,5,7,6,4,8]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
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[2,3,1,6,7,5,4,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
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[1,3,2,7,6,5,4,8]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,3,2,6,7,5,4,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,3,2,5,7,6,4,8]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[1,3,2,6,5,7,4,8]=>[1,2,3,4,6,7,5,8]=>[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,3,2,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,3,6,7,5,4,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,2,3,7,6,5,4,8]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,2,3,6,7,5,4,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,2,3,5,7,6,4,8]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[1,2,3,6,5,7,4,8]=>[1,2,3,4,6,7,5,8]=>[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
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[4,3,2,1,7,6,5,8]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,2,1,6,7,5,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,2,4,1,6,7,5,8]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,1,7,6,5,8]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[2,3,4,1,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,3,2,6,7,5,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,3,4,2,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,4,3,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,4,3,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,1,4,7,6,5,8]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
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[1,3,2,4,7,6,5,8]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
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[5,4,3,2,1,7,6,8]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
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[3,4,5,2,1,7,6,8]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[2,5,4,3,1,7,6,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,4,5,3,1,7,6,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[3,2,5,4,1,7,6,8]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
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[3,4,2,5,1,7,6,8]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
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[1,5,4,3,2,7,6,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,4,5,3,2,7,6,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,3,5,4,2,7,6,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,4,3,5,2,7,6,8]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
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[1,3,2,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,3,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,5,4,2,1,7,8]=>[1,3,5,2,6,4,7,8]=>[4,2,6,3,5,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[4,3,6,5,2,1,7,8]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,4,6,5,3,1,7,8]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,4,5,6,3,1,7,8]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,3,6,5,4,1,7,8]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,3,5,6,4,1,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,3,2,6,5,1,7,8]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,4,3,6,5,1,7,8]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,3,4,6,5,1,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[3,5,4,2,6,1,7,8]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,5,4,6,1,7,8]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,6,5,4,3,2,7,8]=>[1,2,6,3,5,4,7,8]=>[2,4,6,5,3,7,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[1,5,6,4,3,2,7,8]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,4,6,5,3,2,7,8]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,5,4,6,3,2,7,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,4,5,6,3,2,7,8]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,3,5,6,4,2,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,4,3,6,5,2,7,8]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,5,4,3,6,2,7,8]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,4,5,3,6,2,7,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,3,5,4,6,2,7,8]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,4,3,5,6,2,7,8]=>[1,2,4,5,6,3,7,8]=>[2,6,3,4,5,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,3,4,5,6,2,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,5,6,4,3,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,1,4,6,5,3,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,2,6,5,4,3,7,8]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,2,5,6,4,3,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,4,6,5,3,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,2,4,5,6,3,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,1,5,6,4,7,8]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,6,5,4,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,3,1,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,2,6,5,4,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,3,2,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,6,5,4,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,2,3,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,3,2,1,6,5,7,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,4,3,1,6,5,7,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[3,2,4,1,6,5,7,8]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,4,1,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,4,3,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,4,3,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,2,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,3,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,5,4,2,1,6,7,8]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,5,4,3,1,6,7,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,4,5,3,1,6,7,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[3,2,5,4,1,6,7,8]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[2,3,5,4,1,6,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,4,3,5,1,6,7,8]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,5,4,3,2,6,7,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,4,5,3,2,6,7,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,3,5,4,2,6,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,4,3,5,2,6,7,8]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,3,4,5,2,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,5,4,3,6,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,1,4,5,3,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,5,4,3,6,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,4,5,3,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,1,5,4,6,7,8]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,2,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,3,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,4,3,1,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,4,3,2,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,3,4,2,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
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[1,2,4,3,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,2,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
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[1,2,3,7,5,6,4,8]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
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[1,2,4,8,6,5,7,3]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,2,5,4,8,6,7,3]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[1,2,6,4,5,3,7,8]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,2,8,4,5,6,7,3]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,2,8,4,6,7,5,3]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,2,8,4,7,6,5,3]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[1,2,7,5,4,6,3,8]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
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[1,2,8,6,5,4,7,3]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,2,8,6,5,7,4,3]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,2,8,7,5,6,4,3]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[1,3,2,4,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[1,3,2,7,5,6,8,4]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,3,2,8,5,7,6,4]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,3,2,8,6,5,7,4]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,3,2,8,6,7,5,4]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,3,4,2,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[1,3,4,5,8,6,7,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[1,3,4,8,5,6,7,2]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,3,4,8,6,5,7,2]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,3,4,8,6,7,5,2]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,3,6,4,5,2,8,7]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,3,6,4,5,7,2,8]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,3,7,4,5,6,2,8]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,3,8,4,5,6,7,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,3,8,4,6,5,7,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,3,8,4,6,7,5,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,3,8,5,4,6,7,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,3,8,5,4,7,6,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,3,8,5,6,7,4,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,3,8,5,7,6,4,2]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[1,3,8,6,5,7,4,2]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,3,8,7,5,6,4,2]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[1,4,3,5,8,6,7,2]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[1,4,3,8,5,6,7,2]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[1,4,3,8,5,7,6,2]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[1,4,3,8,6,5,7,2]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[1,4,3,8,6,7,5,2]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[1,5,3,4,2,6,7,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,3,4,2,7,8,6]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,3,4,2,8,7,6]=>[1,2,5,3,4,6,8,7]=>[2,4,5,3,6,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[1,5,3,4,6,2,7,8]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,3,4,6,2,8,7]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,3,4,6,7,8,2]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,3,4,7,6,2,8]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,5,3,4,8,6,7,2]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,6,3,4,5,2,7,8]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,7,3,4,5,6,2,8]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,7,3,4,5,6,8,2]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,8,3,4,5,6,7,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,3,4,6,7,5,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,3,4,7,6,5,2]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[1,6,3,5,4,2,7,8]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,7,3,5,4,6,2,8]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,8,3,5,4,6,7,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,3,5,4,7,6,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,3,5,6,4,7,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,3,5,6,7,4,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,3,5,7,6,4,2]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[1,7,3,6,5,4,8,2]=>[1,2,7,8,3,4,6,5]=>[2,5,6,8,7,3,4,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[1,8,3,7,5,6,4,2]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[1,8,3,7,6,5,4,2]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[1,6,4,3,5,2,7,8]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,8,4,3,5,6,7,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,4,3,5,7,6,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,7,4,3,6,5,8,2]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,8,4,3,6,5,7,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,4,3,6,7,5,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,6,4,5,3,2,7,8]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,6,4,5,3,2,8,7]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,7,4,5,3,6,8,2]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,8,4,5,3,6,7,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,7,4,5,6,3,2,8]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,7,4,5,6,3,8,2]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,8,4,5,6,3,7,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,4,5,6,7,3,2]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,4,7,6,5,3,2]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[1,7,5,4,3,6,2,8]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,7,5,4,3,6,8,2]=>[1,2,7,8,3,5,4,6]=>[2,5,7,6,8,3,4,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,8,5,4,3,6,7,2]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[1,8,5,4,3,7,6,2]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[1,8,5,4,6,3,7,2]=>[1,2,8,3,5,6,4,7]=>[2,4,7,5,6,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[1,8,5,4,7,6,3,2]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[1,7,6,4,5,3,2,8]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,8,6,4,5,3,7,2]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,8,6,4,5,7,3,2]=>[1,2,8,3,6,7,4,5]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,8,7,4,5,6,3,2]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,8,7,4,6,5,3,2]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,8,6,5,4,3,7,2]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,8,6,5,4,7,3,2]=>[1,2,8,3,6,7,4,5]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,8,7,5,4,6,3,2]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,8,7,5,6,4,3,2]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[2,1,3,4,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,1,3,5,8,6,7,4]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,1,3,8,5,6,7,4]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,1,3,8,5,7,6,4]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,1,3,8,6,5,7,4]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,1,3,8,6,7,5,4]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,1,4,3,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,1,4,5,8,6,7,3]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,1,4,8,5,6,7,3]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,1,4,8,5,7,6,3]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,1,4,8,6,5,7,3]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,1,4,8,6,7,5,3]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,1,5,4,8,6,7,3]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,1,6,4,5,3,8,7]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,1,8,4,5,6,7,3]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,1,8,4,5,7,6,3]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,1,8,4,6,5,7,3]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,1,8,4,6,7,5,3]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,1,8,4,7,6,5,3]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[2,1,8,5,4,6,7,3]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,1,8,5,4,7,6,3]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,1,8,5,6,4,7,3]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,1,8,5,6,7,4,3]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,1,8,5,7,6,4,3]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[2,1,8,6,5,4,7,3]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[2,1,8,6,5,7,4,3]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[2,1,8,7,5,6,4,3]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[2,3,1,5,8,6,7,4]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,3,1,7,5,6,4,8]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,3,1,8,5,6,7,4]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,1,8,6,7,5,4]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,4,1,8,6,7,5]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,3,4,5,8,6,7,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,3,4,7,5,6,1,8]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,3,4,7,5,6,8,1]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,3,4,8,5,6,7,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,4,8,5,7,6,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,4,8,6,5,7,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,4,8,6,7,5,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,5,4,8,6,7,1]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,3,6,4,5,1,7,8]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,3,6,4,5,1,8,7]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,3,8,4,5,6,7,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,3,8,4,6,7,5,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,3,7,5,4,6,1,8]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[2,3,8,5,4,6,7,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,3,7,5,6,4,1,8]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[2,3,8,5,6,4,7,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,3,8,5,6,7,4,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,3,8,5,7,6,4,1]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[2,3,8,6,5,4,7,1]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[2,4,3,5,8,6,7,1]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[2,4,3,7,5,6,8,1]=>[1,2,4,7,8,3,5,6]=>[2,6,3,7,8,4,5,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,4,3,8,5,6,7,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[2,4,3,8,5,7,6,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[2,4,3,8,6,5,7,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[2,4,3,8,6,7,5,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[2,5,3,4,1,6,7,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,5,3,4,1,8,7,6]=>[1,2,5,3,4,6,8,7]=>[2,4,5,3,6,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[2,5,3,4,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,5,3,4,8,6,7,1]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,5,3,4,8,7,6,1]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,6,3,4,5,1,7,8]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,7,3,4,5,6,1,8]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,8,3,4,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,8,3,4,5,7,6,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,6,3,5,4,1,7,8]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,6,3,5,4,1,8,7]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,7,3,5,4,6,8,1]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,8,3,5,4,7,6,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,7,3,5,6,4,8,1]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,8,3,5,6,7,4,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,8,3,5,7,6,4,1]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[2,8,3,7,5,6,4,1]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[2,8,3,7,6,5,4,1]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[2,5,4,3,8,6,7,1]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,6,4,3,5,1,8,7]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,7,4,3,5,6,8,1]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,8,4,3,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,8,4,3,5,7,6,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,7,4,3,6,5,8,1]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,8,4,3,6,5,7,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,8,4,3,6,7,5,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,8,4,3,7,6,5,1]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[2,6,4,5,3,1,7,8]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,6,4,5,3,1,8,7]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,8,4,5,3,6,7,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,7,4,5,6,3,1,8]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,7,4,5,6,3,8,1]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,8,4,5,6,3,7,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,8,4,5,6,7,3,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,7,4,6,5,3,8,1]=>[1,2,7,8,3,4,6,5]=>[2,5,6,8,7,3,4,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[2,8,4,7,6,5,3,1]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[2,7,5,4,3,6,8,1]=>[1,2,7,8,3,5,4,6]=>[2,5,7,6,8,3,4,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,8,5,4,3,6,7,1]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[2,8,5,4,3,7,6,1]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[2,7,5,4,6,3,8,1]=>[1,2,7,8,3,5,6,4]=>[2,5,8,6,7,3,4,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,8,5,4,7,6,3,1]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[2,7,6,4,5,3,8,1]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[2,8,7,4,5,6,3,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[2,8,7,4,6,5,3,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[2,8,7,5,4,6,3,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[2,8,7,5,6,4,3,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[3,2,1,4,8,6,7,5]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[3,2,1,5,8,6,7,4]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[3,2,1,7,5,6,8,4]=>[1,3,2,4,7,8,5,6]=>[3,2,4,7,8,5,6,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[3,2,4,5,8,6,7,1]=>[1,3,4,5,8,2,6,7]=>[6,2,3,4,7,8,5,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[3,2,4,7,5,6,8,1]=>[1,3,4,7,8,2,5,6]=>[6,2,3,7,8,4,5,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[3,2,4,8,5,6,7,1]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[3,2,4,8,6,7,5,1]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[3,2,5,4,8,6,7,1]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[3,2,6,4,5,7,1,8]=>[1,3,6,7,2,4,5,8]=>[5,2,6,7,3,4,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,2,7,4,5,6,1,8]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,2,8,4,5,6,7,1]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,2,7,4,6,5,1,8]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,2,8,4,6,5,7,1]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,2,7,5,4,6,1,8]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,2,8,5,4,6,7,1]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,2,8,5,4,7,6,1]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,2,7,5,6,4,1,8]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,2,8,5,6,4,7,1]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,2,8,5,7,6,4,1]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[3,2,8,7,5,6,4,1]=>[1,3,8,2,4,7,5,6]=>[4,2,5,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[4,2,3,1,5,7,6,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,2,3,1,5,7,8,6]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,2,3,1,5,8,7,6]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,2,3,1,6,5,7,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,2,3,1,6,5,8,7]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,2,3,1,6,7,8,5]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,2,3,1,6,8,7,5]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,2,3,1,7,6,5,8]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,2,3,1,7,6,8,5]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,2,3,1,8,6,7,5]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,2,3,1,8,7,6,5]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,2,3,5,1,6,8,7]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,2,3,5,1,7,8,6]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,2,3,5,6,8,7,1]=>[1,4,5,6,8,2,3,7]=>[6,7,2,3,4,8,5,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,2,3,6,5,1,7,8]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,2,3,6,5,1,8,7]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,2,3,6,5,8,7,1]=>[1,4,6,8,2,3,5,7]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,2,3,7,5,6,1,8]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,2,3,7,5,6,8,1]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,2,3,7,6,5,8,1]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,2,3,4,1,6,8,7]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,3,4,1,7,8,6]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,3,4,6,1,8,7]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,3,4,7,6,1,8]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,3,4,8,6,7,1]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,2,3,4,8,7,6,1]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,2,3,4,5,1,8,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,3,4,5,8,7,1]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,2,3,4,5,7,6,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,2,3,4,6,5,1,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,2,3,4,7,6,5,1]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,2,3,5,4,1,7,8]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,3,5,4,1,8,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,3,5,4,7,1,8]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,3,5,4,7,8,1]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,2,3,5,4,6,1,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,2,3,5,4,6,7,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,3,5,4,7,6,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,2,3,5,6,4,1,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,2,3,5,6,7,4,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,3,5,7,6,4,1]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[7,2,3,6,5,4,1,8]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,2,3,6,5,4,7,1]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[8,2,3,7,5,6,4,1]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[8,2,3,7,6,5,4,1]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[5,2,4,3,1,6,7,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,4,3,1,6,8,7]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,4,3,1,7,6,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,4,3,6,1,7,8]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,4,3,6,1,8,7]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,4,3,6,7,1,8]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,4,3,7,6,1,8]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,4,3,8,7,6,1]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,2,4,3,5,1,8,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,2,4,3,6,5,1,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,2,4,3,6,5,8,1]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,2,4,3,6,5,7,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,4,3,6,7,5,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,4,3,7,6,5,1]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,2,4,5,3,1,7,8]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,4,5,3,1,8,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,4,5,3,8,7,1]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,2,4,5,3,6,1,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,2,4,5,3,6,8,1]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,2,4,5,3,7,6,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,4,5,6,3,7,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,4,5,6,7,3,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,4,5,7,6,3,1]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[7,2,4,6,5,3,1,8]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,2,4,7,5,6,3,1]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[8,2,4,7,6,5,3,1]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,2,5,4,3,1,7,8]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,2,5,4,3,1,8,7]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,2,5,4,3,7,1,8]=>[1,6,7,2,3,5,4,8]=>[4,5,7,6,2,3,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,2,5,4,3,6,1,8]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,2,5,4,3,6,7,1]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,2,5,4,3,7,6,1]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,2,5,4,6,3,8,1]=>[1,7,8,2,3,5,6,4]=>[4,5,8,6,7,2,3,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,2,5,4,7,6,3,1]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[7,2,6,4,5,3,1,8]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,2,6,4,5,3,7,1]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[8,2,7,4,5,6,3,1]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,2,7,4,6,5,3,1]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[7,2,6,5,4,3,1,8]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,2,6,5,4,3,7,1]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[8,2,7,5,4,6,3,1]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,2,7,5,6,4,3,1]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[4,3,2,1,8,6,7,5]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,3,2,7,5,6,8,1]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,3,2,4,1,6,8,7]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,2,4,1,7,6,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,2,4,6,1,8,7]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,2,4,7,6,1,8]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,3,2,4,6,5,7,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,2,4,6,7,5,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,2,4,7,6,5,1]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,3,2,5,4,1,7,8]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,2,5,4,1,8,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,2,5,4,7,1,8]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,2,5,4,7,8,1]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,2,5,4,8,7,1]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,3,2,5,4,6,1,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,2,5,4,7,6,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,3,2,5,6,4,8,1]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,2,5,6,4,7,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,2,5,6,7,4,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,2,5,7,6,4,1]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[8,3,2,6,5,7,4,1]=>[1,8,2,3,4,6,7,5]=>[3,4,5,8,6,7,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[8,3,2,7,5,6,4,1]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[8,3,2,7,6,5,4,1]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[5,3,4,2,1,6,8,7]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,4,2,1,7,8,6]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,4,2,6,1,8,7]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,4,2,7,6,1,8]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,4,2,8,6,7,1]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,3,4,2,5,1,8,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,3,4,2,6,5,1,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,4,2,6,5,8,1]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,4,2,6,5,7,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,3,4,5,2,1,8,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,4,5,2,8,7,1]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,3,4,5,2,7,6,1]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,4,5,7,6,2,1]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[7,3,4,6,5,2,1,8]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,3,4,7,6,5,2,1]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,3,5,4,2,1,8,7]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,3,5,4,2,7,1,8]=>[1,6,7,2,3,5,4,8]=>[4,5,7,6,2,3,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,3,5,4,2,6,1,8]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,3,5,4,2,6,7,1]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,3,5,4,2,7,6,1]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,3,5,4,6,2,8,1]=>[1,7,8,2,3,5,6,4]=>[4,5,8,6,7,2,3,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,3,5,4,6,7,2,1]=>[1,8,2,3,5,6,7,4]=>[3,4,8,5,6,7,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,3,5,4,7,6,2,1]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[7,3,6,4,5,2,1,8]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,3,6,4,5,2,7,1]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[8,3,7,4,5,6,2,1]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,3,7,4,6,5,2,1]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[7,3,6,5,4,2,1,8]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,3,6,5,4,2,7,1]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[8,3,7,5,4,6,2,1]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,3,7,5,6,4,2,1]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[5,4,3,2,8,6,7,1]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,4,3,2,5,1,8,7]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,4,3,2,5,7,6,1]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,4,3,2,6,5,1,8]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,4,3,2,6,5,7,1]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,4,3,2,6,7,5,1]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,4,3,6,5,2,1,8]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,4,3,7,5,6,2,1]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[8,4,3,7,6,5,2,1]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[6,5,3,4,2,1,8,7]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,5,3,4,2,7,6,1]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,7,3,4,6,5,2,1]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,6,3,5,4,2,1,8]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,6,3,5,4,2,8,1]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,6,3,5,4,2,7,1]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,6,3,5,4,7,2,1]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,7,3,5,4,6,2,1]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,7,3,5,6,4,2,1]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,7,3,6,5,4,2,1]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[8,5,4,3,2,7,6,1]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,7,4,3,6,5,2,1]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,7,4,6,5,3,2,1]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[2,4,1,3,6,5,8,7]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,1,4,6,3,5,8,7]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,4,6,1,3,5,8,7]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,1,4,3,6,8,5,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[2,4,1,3,6,8,5,7]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[2,1,4,6,3,8,5,7]=>[1,2,3,4,6,8,7,5]=>[2,3,4,8,5,7,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,4,1,6,3,8,5,7]=>[1,2,4,6,8,7,5,3]=>[2,8,3,7,4,6,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,6,1,3,8,5,7]=>[1,2,4,3,6,8,7,5]=>[2,4,3,8,5,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,1,4,6,8,3,5,7]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,4,6,1,8,3,5,7]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,6,8,1,3,5,7]=>[1,2,4,8,7,5,3,6]=>[2,7,3,6,8,5,4,1]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[2,4,1,3,6,5,7,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,1,4,6,3,5,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,4,6,1,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,1,4,6,3,7,5,8]=>[1,2,3,4,6,7,5,8]=>[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,4,6,1,3,7,5,8]=>[1,2,4,3,6,7,5,8]=>[2,4,3,7,5,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,1,4,6,7,3,5,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,4,1,6,7,3,5,8]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,4,1,3,6,7,8,5]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,1,4,6,3,7,8,5]=>[1,2,3,4,6,7,8,5]=>[2,3,4,8,5,6,7,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,4,1,6,3,7,8,5]=>[1,2,4,6,7,8,5,3]=>[2,8,3,7,4,5,6,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,4,6,1,3,7,8,5]=>[1,2,4,3,6,7,8,5]=>[2,4,3,8,5,6,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,1,4,6,7,3,8,5]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,4,1,6,7,3,8,5]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,4,6,1,7,3,8,5]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,1,4,6,7,8,3,5]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,4,1,6,7,8,3,5]=>[1,2,4,6,8,5,7,3]=>[2,8,3,6,4,7,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,1,4,3,7,5,8,6]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[2,4,1,3,7,5,8,6]=>[1,2,4,3,5,7,8,6]=>[2,4,3,5,8,6,7,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,1,4,7,3,5,8,6]=>[1,2,3,4,7,8,6,5]=>[2,3,4,8,7,5,6,1]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[2,4,7,1,3,5,8,6]=>[1,2,4,3,7,8,6,5]=>[2,4,3,8,7,5,6,1]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[2,1,4,3,7,8,5,6]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[2,4,7,1,3,8,5,6]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,1,4,7,8,3,5,6]=>[1,2,3,4,7,5,8,6]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,4,7,1,8,3,5,6]=>[1,2,4,3,7,5,8,6]=>[2,4,3,6,8,5,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,4,1,5,3,7,6,8]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,4,5,1,3,7,6,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,4,1,3,5,7,8,6]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
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[2,4,5,1,3,7,8,6]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,1,4,5,7,3,8,6]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
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[2,1,4,5,7,8,3,6]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[2,4,5,7,8,1,3,6]=>[1,2,4,7,3,5,8,6]=>[2,5,3,6,8,4,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,1,4,3,8,5,6,7]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[2,1,4,8,3,5,6,7]=>[1,2,3,4,8,7,6,5]=>[2,3,4,8,7,6,5,1]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[2,4,1,8,3,5,6,7]=>[1,2,4,8,7,6,5,3]=>[2,8,3,7,6,5,4,1]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]
[2,4,8,1,3,5,6,7]=>[1,2,4,3,8,7,6,5]=>[2,4,3,8,7,6,5,1]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]
[2,1,4,3,5,8,6,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
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[2,1,4,5,8,3,6,7]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
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[2,4,1,5,6,3,8,7]=>[1,2,4,5,6,3,7,8]=>[2,6,3,4,5,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,4,5,1,6,3,8,7]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,4,5,6,1,3,8,7]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,1,4,5,6,8,3,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
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[2,4,5,6,1,8,3,7]=>[1,2,4,6,8,7,3,5]=>[2,7,3,8,4,6,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
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[2,4,1,5,6,3,7,8]=>[1,2,4,5,6,3,7,8]=>[2,6,3,4,5,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
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[2,4,5,6,1,3,7,8]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
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[2,4,5,6,7,1,3,8]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
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[2,4,5,6,1,7,8,3]=>[1,2,4,6,7,8,3,5]=>[2,7,3,8,4,5,6,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,4,5,6,7,1,8,3]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,1,5,3,6,4,8,7]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,1,5,6,3,4,8,7]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
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[2,5,6,1,3,4,8,7]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,5,1,3,6,8,4,7]=>[1,2,5,6,8,7,4,3]=>[2,8,7,3,4,6,5,1]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]
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[2,5,6,1,3,8,4,7]=>[1,2,5,3,6,8,7,4]=>[2,4,8,3,5,7,6,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[2,5,6,8,1,3,4,7]=>[1,2,5,3,6,4,8,7]=>[2,4,6,3,5,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
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[2,5,1,6,7,3,4,8]=>[1,2,5,7,4,6,3,8]=>[2,7,5,3,6,4,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[2,5,6,1,7,3,4,8]=>[1,2,5,7,4,3,6,8]=>[2,6,5,3,7,4,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
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[2,5,1,6,3,7,8,4]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,5,6,1,3,7,8,4]=>[1,2,5,3,6,7,8,4]=>[2,4,8,3,5,6,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,5,1,6,7,3,8,4]=>[1,2,5,7,8,4,6,3]=>[2,8,6,3,7,4,5,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[2,5,6,7,1,3,8,4]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,1,5,6,7,8,3,4]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,5,1,6,7,8,3,4]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,5,6,7,8,1,3,4]=>[1,2,5,8,4,7,3,6]=>[2,7,5,3,8,6,4,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
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[2,5,7,1,3,4,8,6]=>[1,2,5,3,7,8,6,4]=>[2,4,8,3,7,5,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
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[2,5,1,3,7,8,4,6]=>[1,2,5,7,4,3,6,8]=>[2,6,5,3,7,4,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
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[2,5,7,1,3,8,4,6]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,5,7,8,1,3,4,6]=>[1,2,5,3,7,4,8,6]=>[2,4,6,3,8,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,1,5,7,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,3,5,1,4,7,6,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
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[2,3,5,1,7,4,8,6]=>[1,2,3,5,7,8,6,4]=>[2,3,8,4,7,5,6,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,3,5,7,1,4,8,6]=>[1,2,3,5,4,7,8,6]=>[2,3,5,4,8,6,7,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,3,1,5,7,8,4,6]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[2,3,5,7,1,8,4,6]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,5,1,8,3,4,6,7]=>[1,2,5,3,4,8,7,6]=>[2,4,5,3,8,7,6,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[2,5,8,1,3,4,6,7]=>[1,2,5,3,8,7,6,4]=>[2,4,8,3,7,6,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[2,1,3,5,8,4,6,7]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
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[2,3,5,1,6,4,8,7]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,3,5,6,1,4,8,7]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
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[2,3,5,6,1,4,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,3,5,6,1,7,4,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[2,3,5,6,7,1,4,8]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,3,5,1,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
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[2,1,6,7,3,4,8,5]=>[1,2,3,6,4,7,8,5]=>[2,3,5,8,4,6,7,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
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[2,1,6,7,8,3,4,5]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,6,1,7,8,3,4,5]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,6,7,1,8,3,4,5]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,6,7,8,1,3,4,5]=>[1,2,6,3,7,4,8,5]=>[2,4,6,8,3,5,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,1,6,3,7,4,5,8]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,6,1,3,4,7,5,8]=>[1,2,6,7,5,4,3,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
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[2,3,6,7,1,4,5,8]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
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[2,6,1,3,4,7,8,5]=>[1,2,6,7,8,5,4,3]=>[2,8,7,6,3,4,5,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
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[2,1,3,6,7,4,8,5]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
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[2,6,8,1,3,4,5,7]=>[1,2,6,4,3,8,7,5]=>[2,5,4,8,3,7,6,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[2,1,3,6,4,8,5,7]=>[1,2,3,4,6,8,7,5]=>[2,3,4,8,5,7,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,3,1,6,4,8,5,7]=>[1,2,3,4,6,8,7,5]=>[2,3,4,8,5,7,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,3,1,6,8,4,5,7]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,3,6,1,8,4,5,7]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
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[2,6,1,3,4,5,8,7]=>[1,2,6,5,4,3,7,8]=>[2,6,5,4,3,7,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[2,1,3,6,4,5,8,7]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
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[2,3,4,1,6,8,5,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
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[2,6,1,3,4,5,7,8]=>[1,2,6,5,4,3,7,8]=>[2,6,5,4,3,7,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[2,1,3,6,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,3,1,6,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[2,3,6,1,4,5,7,8]=>[1,2,3,6,5,4,7,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,3,4,6,1,5,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
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[2,3,4,6,7,1,5,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
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[4,1,5,8,2,3,6,7]=>[1,4,8,7,6,3,5,2]=>[8,6,2,7,5,4,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
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[1,4,2,5,3,8,6,7]=>[1,2,4,5,3,6,8,7]=>[2,5,3,4,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
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[4,1,2,5,8,3,6,7]=>[1,4,5,8,7,6,3,2]=>[8,7,2,3,6,5,4,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
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[4,1,6,7,2,3,5,8]=>[1,4,7,5,2,3,6,8]=>[5,6,2,4,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
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[1,4,2,6,7,3,5,8]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
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[1,4,6,2,3,7,8,5]=>[1,2,4,3,6,7,8,5]=>[2,4,3,8,5,6,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
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[4,6,1,2,8,3,5,7]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,1,6,8,2,3,5,7]=>[1,4,8,7,5,2,3,6]=>[6,7,2,5,8,4,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,6,8,1,2,3,5,7]=>[1,4,2,6,3,8,7,5]=>[3,5,2,8,4,7,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,1,6,2,3,8,5,7]=>[1,4,2,3,6,8,7,5]=>[3,4,2,8,5,7,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,1,2,6,3,8,5,7]=>[1,4,6,8,7,5,3,2]=>[8,7,2,6,3,5,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,4,2,6,3,8,5,7]=>[1,2,4,6,8,7,5,3]=>[2,8,3,7,4,6,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[1,4,6,2,3,8,5,7]=>[1,2,4,3,6,8,7,5]=>[2,4,3,8,5,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[1,4,6,2,8,3,5,7]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[1,4,6,8,2,3,5,7]=>[1,2,4,8,7,5,3,6]=>[2,7,3,6,8,5,4,1]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]
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[4,1,2,6,3,5,8,7]=>[1,4,6,5,3,2,7,8]=>[6,5,2,4,3,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,4,6,2,3,5,8,7]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
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[1,4,2,3,6,5,8,7]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,2,4,6,3,5,8,7]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[4,1,2,3,6,8,5,7]=>[1,4,3,2,5,6,8,7]=>[4,3,2,5,6,8,7,1]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[1,2,4,3,6,8,5,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[1,2,4,6,3,8,5,7]=>[1,2,3,4,6,8,7,5]=>[2,3,4,8,5,7,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[1,2,4,6,8,3,5,7]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[4,1,6,2,3,5,7,8]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,1,2,6,3,5,7,8]=>[1,4,6,5,3,2,7,8]=>[6,5,2,4,3,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,4,6,2,3,5,7,8]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,1,2,3,6,5,7,8]=>[1,4,3,2,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,4,2,3,6,5,7,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,2,4,6,3,5,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
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[1,4,2,3,6,7,5,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,2,4,6,3,7,5,8]=>[1,2,3,4,6,7,5,8]=>[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,2,4,6,7,3,5,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
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[4,7,1,2,8,3,5,6]=>[1,4,2,7,5,8,6,3]=>[3,8,2,5,7,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,7,8,2,3,5,6]=>[1,4,8,6,3,7,5,2]=>[8,5,2,7,4,6,3,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
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[4,7,1,2,3,8,5,6]=>[1,4,2,7,5,3,6,8]=>[3,6,2,5,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,4,7,2,3,8,5,6]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
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[1,4,7,2,8,3,5,6]=>[1,2,4,3,7,5,8,6]=>[2,4,3,6,8,5,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,4,7,2,3,5,8,6]=>[1,2,4,3,7,8,6,5]=>[2,4,3,8,7,5,6,1]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[1,4,2,3,7,5,8,6]=>[1,2,4,3,5,7,8,6]=>[2,4,3,5,8,6,7,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[1,2,4,3,7,5,8,6]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
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[1,2,4,3,7,8,5,6]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
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[1,4,7,2,3,5,6,8]=>[1,2,4,3,7,6,5,8]=>[2,4,3,7,6,5,8,1]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[4,1,2,3,7,5,6,8]=>[1,4,3,2,5,7,6,8]=>[4,3,2,5,7,6,8,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[1,2,4,3,7,5,6,8]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[1,2,4,7,3,5,6,8]=>[1,2,3,4,7,6,5,8]=>[2,3,4,7,6,5,8,1]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
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[1,4,2,3,5,7,6,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,2,4,5,7,3,6,8]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[4,1,2,3,5,7,8,6]=>[1,4,3,2,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,4,2,3,5,7,8,6]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,2,4,5,7,3,8,6]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[1,2,4,5,7,8,3,6]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[4,1,8,2,3,5,6,7]=>[1,4,2,3,8,7,6,5]=>[3,4,2,8,7,6,5,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[4,8,1,2,3,5,6,7]=>[1,4,2,8,7,6,5,3]=>[3,8,2,7,6,5,4,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[1,4,2,8,3,5,6,7]=>[1,2,4,8,7,6,5,3]=>[2,8,3,7,6,5,4,1]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]
[1,4,8,2,3,5,6,7]=>[1,2,4,3,8,7,6,5]=>[2,4,3,8,7,6,5,1]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]
[4,1,2,3,8,5,6,7]=>[1,4,3,2,5,8,7,6]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[1,2,4,3,8,5,6,7]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[1,2,4,8,3,5,6,7]=>[1,2,3,4,8,7,6,5]=>[2,3,4,8,7,6,5,1]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[4,1,2,3,5,8,6,7]=>[1,4,3,2,5,6,8,7]=>[4,3,2,5,6,8,7,1]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[1,4,2,3,5,8,6,7]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[1,2,4,3,5,8,6,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[1,2,4,5,3,8,6,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[1,2,4,5,8,3,6,7]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[4,1,2,3,5,6,8,7]=>[1,4,3,2,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,4,2,3,5,6,8,7]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[1,2,4,5,6,8,3,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[1,4,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[5,6,1,2,7,3,8,4]=>[1,5,7,8,4,2,6,3]=>[6,8,5,2,7,3,4,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,6,1,7,2,3,8,4]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,6,7,1,2,3,8,4]=>[1,5,2,6,3,7,8,4]=>[3,5,8,2,4,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,1,6,2,7,8,3,4]=>[1,5,7,3,6,8,4,2]=>[8,4,7,2,5,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,6,1,2,7,8,3,4]=>[1,5,7,3,2,6,8,4]=>[5,4,8,2,6,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,1,6,7,2,8,3,4]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,1,7,2,8,3,4]=>[1,5,2,6,8,4,7,3]=>[3,8,6,2,4,7,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,7,1,2,8,3,4]=>[1,5,2,6,8,4,3,7]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,1,6,7,8,2,3,4]=>[1,5,8,4,7,3,6,2]=>[8,6,4,2,7,5,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[5,6,1,7,8,2,3,4]=>[1,5,8,4,7,3,2,6]=>[7,6,4,2,8,5,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[5,1,6,2,7,3,4,8]=>[1,5,7,4,2,3,6,8]=>[5,6,4,2,7,3,8,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,6,1,2,7,3,4,8]=>[1,5,7,4,2,6,3,8]=>[5,7,4,2,6,3,8,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,6,1,7,2,3,4,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,1,6,2,3,7,4,8]=>[1,5,3,6,7,4,2,8]=>[7,3,6,2,4,5,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,1,2,6,3,7,4,8]=>[1,5,3,2,4,6,7,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,5,2,6,3,7,4,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,2,6,7,3,4,8]=>[1,2,5,7,4,6,3,8]=>[2,7,5,3,6,4,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[1,5,6,2,7,3,4,8]=>[1,2,5,7,4,3,6,8]=>[2,6,5,3,7,4,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[1,5,6,7,2,3,4,8]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[5,1,6,2,3,7,8,4]=>[1,5,3,6,7,8,4,2]=>[8,3,7,2,4,5,6,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,6,1,2,3,7,8,4]=>[1,5,3,2,6,7,8,4]=>[4,3,8,2,5,6,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,1,2,6,3,7,8,4]=>[1,5,3,2,4,6,7,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,5,2,6,3,7,8,4]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,6,2,3,7,8,4]=>[1,2,5,3,6,7,8,4]=>[2,4,8,3,5,6,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,6,7,2,3,8,4]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[5,1,2,6,7,8,3,4]=>[1,5,7,3,2,4,6,8]=>[5,4,6,2,7,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,5,2,6,7,8,3,4]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,5,6,7,8,2,3,4]=>[1,2,5,8,4,7,3,6]=>[2,7,5,3,8,6,4,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[5,6,1,2,8,3,4,7]=>[1,5,8,7,4,2,6,3]=>[6,8,5,2,7,4,3,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[5,6,1,8,2,3,4,7]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,8,1,2,3,4,7]=>[1,5,2,6,3,8,7,4]=>[3,5,8,2,4,7,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[1,5,2,6,3,8,4,7]=>[1,2,5,3,4,6,8,7]=>[2,4,5,3,6,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[1,5,6,2,3,8,4,7]=>[1,2,5,3,6,8,7,4]=>[2,4,8,3,5,7,6,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[5,1,2,6,8,3,4,7]=>[1,5,8,7,4,6,3,2]=>[8,7,5,2,6,4,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[1,5,6,2,8,3,4,7]=>[1,2,5,8,7,4,3,6]=>[2,7,6,3,8,5,4,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[1,5,6,8,2,3,4,7]=>[1,2,5,3,6,4,8,7]=>[2,4,6,3,5,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[5,1,6,2,3,4,8,7]=>[1,5,3,6,4,2,7,8]=>[6,3,5,2,4,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,6,1,2,3,4,8,7]=>[1,5,3,2,6,4,7,8]=>[4,3,6,2,5,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,1,2,6,3,4,8,7]=>[1,5,3,2,4,6,7,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,5,2,6,3,4,8,7]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,6,2,3,4,8,7]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,2,5,3,6,4,8,7]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,5,6,3,4,8,7]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,5,2,3,6,8,4,7]=>[1,2,5,6,8,7,4,3]=>[2,8,7,3,4,6,5,1]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[5,1,6,2,3,4,7,8]=>[1,5,3,6,4,2,7,8]=>[6,3,5,2,4,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,1,2,6,3,4,7,8]=>[1,5,3,2,4,6,7,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,5,2,6,3,4,7,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,6,2,3,4,7,8]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[5,1,2,3,6,4,7,8]=>[1,5,6,4,3,2,7,8]=>[6,5,4,2,3,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,2,5,3,6,4,7,8]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,5,6,3,4,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,1,2,3,6,7,4,8]=>[1,5,6,7,4,3,2,8]=>[7,6,5,2,3,4,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,5,2,3,6,7,4,8]=>[1,2,5,6,7,4,3,8]=>[2,7,6,3,4,5,8,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[1,2,5,3,6,7,4,8]=>[1,2,3,5,6,7,4,8]=>[2,3,7,4,5,6,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,5,6,3,7,4,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,1,2,3,6,7,8,4]=>[1,5,6,7,8,4,3,2]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,5,2,3,6,7,8,4]=>[1,2,5,6,7,8,4,3]=>[2,8,7,3,4,5,6,1]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[1,2,5,3,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,5,6,3,7,8,4]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,5,6,7,8,3,4]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[5,1,7,2,8,3,4,6]=>[1,5,8,6,3,7,4,2]=>[8,5,7,2,4,6,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,7,1,2,8,3,4,6]=>[1,5,8,6,3,2,7,4]=>[6,5,8,2,4,7,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,1,7,8,2,3,4,6]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,1,2,3,8,4,6]=>[1,5,3,2,7,4,6,8]=>[4,3,6,2,7,5,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,1,2,7,3,8,4,6]=>[1,5,3,2,4,7,6,8]=>[4,3,5,2,7,6,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,5,7,2,3,8,4,6]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,5,7,8,2,3,4,6]=>[1,2,5,3,7,4,8,6]=>[2,4,6,3,8,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,1,7,2,3,4,8,6]=>[1,5,3,7,8,6,4,2]=>[8,3,7,2,6,4,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,7,1,2,3,4,8,6]=>[1,5,3,2,7,8,6,4]=>[4,3,8,2,7,5,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,1,2,7,3,4,8,6]=>[1,5,3,2,4,7,8,6]=>[4,3,5,2,8,6,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,5,2,7,3,4,8,6]=>[1,2,5,3,4,7,8,6]=>[2,4,5,3,8,6,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,5,7,2,3,4,8,6]=>[1,2,5,3,7,8,6,4]=>[2,4,8,3,7,5,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,1,2,3,7,4,8,6]=>[1,5,7,8,6,4,3,2]=>[8,7,6,2,5,3,4,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[1,2,5,3,7,4,8,6]=>[1,2,3,5,7,8,6,4]=>[2,3,8,4,7,5,6,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[1,2,5,7,3,4,8,6]=>[1,2,3,5,4,7,8,6]=>[2,3,5,4,8,6,7,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[1,5,2,3,7,8,4,6]=>[1,2,5,7,4,3,6,8]=>[2,6,5,3,7,4,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[1,2,5,3,7,8,4,6]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[1,2,5,7,3,8,4,6]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[5,1,7,2,3,4,6,8]=>[1,5,3,7,6,4,2,8]=>[7,3,6,2,5,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,7,1,2,3,4,6,8]=>[1,5,3,2,7,6,4,8]=>[4,3,7,2,6,5,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,1,2,7,3,4,6,8]=>[1,5,3,2,4,7,6,8]=>[4,3,5,2,7,6,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,2,5,3,7,4,6,8]=>[1,2,3,5,7,6,4,8]=>[2,3,7,4,6,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[1,2,5,7,3,4,6,8]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[1,2,5,3,4,7,6,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,3,5,7,4,6,8]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,1,2,3,4,7,8,6]=>[1,5,4,3,2,6,7,8]=>[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,2,5,3,4,7,8,6]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,3,5,7,4,8,6]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[1,2,3,5,7,8,4,6]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,1,8,2,3,4,6,7]=>[1,5,3,8,7,6,4,2]=>[8,3,7,2,6,5,4,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,8,1,2,3,4,6,7]=>[1,5,3,2,8,7,6,4]=>[4,3,8,2,7,6,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,1,2,8,3,4,6,7]=>[1,5,3,2,4,8,7,6]=>[4,3,5,2,8,7,6,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[1,5,2,8,3,4,6,7]=>[1,2,5,3,4,8,7,6]=>[2,4,5,3,8,7,6,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[1,5,8,2,3,4,6,7]=>[1,2,5,3,8,7,6,4]=>[2,4,8,3,7,6,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[5,1,2,3,8,4,6,7]=>[1,5,8,7,6,4,3,2]=>[8,7,6,2,5,4,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[1,2,3,5,4,8,6,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[1,2,3,5,8,4,6,7]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[5,1,2,3,4,6,8,7]=>[1,5,4,3,2,6,7,8]=>[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,2,5,3,4,6,8,7]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,2,3,5,6,8,4,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[1,2,5,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,1,7,2,8,3,4,5]=>[1,6,3,7,4,2,5,8]=>[6,3,5,7,2,4,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,1,7,8,2,3,4,5]=>[1,6,3,7,4,8,5,2]=>[8,3,5,7,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,1,7,2,3,8,4,5]=>[1,6,8,5,3,7,4,2]=>[8,5,7,4,2,6,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[6,7,1,2,3,8,4,5]=>[1,6,8,5,3,2,7,4]=>[6,5,8,4,2,7,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[6,1,2,7,3,8,4,5]=>[1,6,8,5,3,2,4,7]=>[6,5,7,4,2,8,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[1,6,2,7,3,8,4,5]=>[1,2,6,8,5,3,4,7]=>[2,6,7,5,3,8,4,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[6,1,2,7,8,3,4,5]=>[1,6,3,2,4,7,5,8]=>[4,3,5,7,2,6,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,6,2,7,8,3,4,5]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,6,7,2,8,3,4,5]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,6,7,8,2,3,4,5]=>[1,2,6,3,7,4,8,5]=>[2,4,6,8,3,5,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,6,2,7,3,4,8,5]=>[1,2,6,4,7,8,5,3]=>[2,8,4,7,3,5,6,1]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[1,6,7,2,3,4,8,5]=>[1,2,6,4,3,7,8,5]=>[2,5,4,8,3,6,7,1]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[6,1,2,3,7,4,8,5]=>[1,6,4,3,2,5,7,8]=>[5,4,3,6,2,7,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[1,2,6,3,7,4,8,5]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,2,6,7,3,4,8,5]=>[1,2,3,6,4,7,8,5]=>[2,3,5,8,4,6,7,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,1,2,3,7,8,4,5]=>[1,6,8,5,7,4,3,2]=>[8,7,6,4,2,5,3,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[1,6,2,3,7,8,4,5]=>[1,2,6,8,5,7,4,3]=>[2,8,7,5,3,6,4,1]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]
[1,2,6,7,8,3,4,5]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,1,2,3,7,4,5,8]=>[1,6,4,3,2,5,7,8]=>[5,4,3,6,2,7,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[1,2,6,3,7,4,5,8]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,2,6,7,3,4,5,8]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,1,2,3,4,7,5,8]=>[1,6,7,5,4,3,2,8]=>[7,6,5,4,2,3,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,6,2,3,4,7,5,8]=>[1,2,6,7,5,4,3,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[1,2,6,3,4,7,5,8]=>[1,2,3,6,7,5,4,8]=>[2,3,7,6,4,5,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,2,3,6,4,7,5,8]=>[1,2,3,4,6,7,5,8]=>[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,2,3,6,7,4,5,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[6,1,2,3,4,7,8,5]=>[1,6,7,8,5,4,3,2]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,6,2,3,4,7,8,5]=>[1,2,6,7,8,5,4,3]=>[2,8,7,6,3,4,5,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[1,2,6,3,4,7,8,5]=>[1,2,3,6,7,8,5,4]=>[2,3,8,7,4,5,6,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,2,3,6,4,7,8,5]=>[1,2,3,4,6,7,8,5]=>[2,3,4,8,5,6,7,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,2,3,6,7,4,8,5]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,2,3,6,7,8,4,5]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[6,1,8,2,3,4,5,7]=>[1,6,4,2,3,8,7,5]=>[4,5,3,8,2,7,6,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,1,2,8,3,4,5,7]=>[1,6,4,8,7,5,3,2]=>[8,7,3,6,2,5,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,6,2,8,3,4,5,7]=>[1,2,6,4,8,7,5,3]=>[2,8,4,7,3,6,5,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[1,6,8,2,3,4,5,7]=>[1,2,6,4,3,8,7,5]=>[2,5,4,8,3,7,6,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[6,1,2,3,8,4,5,7]=>[1,6,4,3,2,5,8,7]=>[5,4,3,6,2,8,7,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,2,6,3,8,4,5,7]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,1,2,3,4,8,5,7]=>[1,6,8,7,5,4,3,2]=>[8,7,6,5,2,4,3,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[1,2,3,6,4,8,5,7]=>[1,2,3,4,6,8,7,5]=>[2,3,4,8,5,7,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[1,2,3,6,8,4,5,7]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[6,1,2,3,4,5,8,7]=>[1,6,5,4,3,2,7,8]=>[6,5,4,3,2,7,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,6,2,3,4,5,8,7]=>[1,2,6,5,4,3,7,8]=>[2,6,5,4,3,7,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[1,2,6,3,4,5,8,7]=>[1,2,3,6,5,4,7,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,2,3,6,4,5,8,7]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,2,3,4,6,8,5,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[1,6,2,3,4,5,7,8]=>[1,2,6,5,4,3,7,8]=>[2,6,5,4,3,7,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[1,2,6,3,4,5,7,8]=>[1,2,3,6,5,4,7,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,2,3,6,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[7,1,8,2,3,4,5,6]=>[1,7,5,3,8,6,4,2]=>[8,4,7,3,6,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[7,1,2,8,3,4,5,6]=>[1,7,5,3,2,4,8,6]=>[5,4,6,3,8,2,7,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,7,2,8,3,4,5,6]=>[1,2,7,5,3,4,8,6]=>[2,5,6,4,8,3,7,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,7,8,2,3,4,5,6]=>[1,2,7,5,3,8,6,4]=>[2,5,8,4,7,3,6,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[7,1,2,3,8,4,5,6]=>[1,7,5,8,6,4,3,2]=>[8,7,6,3,5,2,4,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,7,2,3,8,4,5,6]=>[1,2,7,5,8,6,4,3]=>[2,8,7,4,6,3,5,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[1,2,7,8,3,4,5,6]=>[1,2,3,7,5,4,8,6]=>[2,3,6,5,8,4,7,1]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[7,1,2,3,4,8,5,6]=>[1,7,5,4,3,2,6,8]=>[6,5,4,3,7,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[1,2,3,7,4,8,5,6]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,2,3,7,8,4,5,6]=>[1,2,3,4,7,5,8,6]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[7,1,2,3,4,5,8,6]=>[1,7,8,6,5,4,3,2]=>[8,7,6,5,4,2,3,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[1,7,2,3,4,5,8,6]=>[1,2,7,8,6,5,4,3]=>[2,8,7,6,5,3,4,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,2,3,7,4,5,8,6]=>[1,2,3,4,7,8,6,5]=>[2,3,4,8,7,5,6,1]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[1,2,3,4,7,5,8,6]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[1,2,3,4,7,8,5,6]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[1,7,2,3,4,5,6,8]=>[1,2,7,6,5,4,3,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,2,7,3,4,5,6,8]=>[1,2,3,7,6,5,4,8]=>[2,3,7,6,5,4,8,1]=>[[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[1,2,3,7,4,5,6,8]=>[1,2,3,4,7,6,5,8]=>[2,3,4,7,6,5,8,1]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[1,2,3,4,7,5,6,8]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[1,8,2,3,4,5,6,7]=>[1,2,8,7,6,5,4,3]=>[2,8,7,6,5,4,3,1]=>[[.,[[[[[[.,.],.],.],.],.],.]],.]
[1,2,8,3,4,5,6,7]=>[1,2,3,8,7,6,5,4]=>[2,3,8,7,6,5,4,1]=>[[.,[.,[[[[[.,.],.],.],.],.]]],.]
[1,2,3,8,4,5,6,7]=>[1,2,3,4,8,7,6,5]=>[2,3,4,8,7,6,5,1]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[5,3,2,6,1,4,8,7]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,3,2,5,4,8,1,6]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,4,5,2,3,7,6,1]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,4,5,2,3,8,1,6]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,4,5,2,3,1,8,7]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,4,6,2,1,3,8,7]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[3,6,1,5,4,2,8,7]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,6,5,1,3,2,8,7]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,4,3,1,2,8,7]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,5,4,3,2,8,1,6]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,6,4,3,7,2,5,1]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,6,4,3,8,2,1,5]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,4,3,8,1,2,5]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,7,4,3,1,8,2,6]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,5,1,3,8,2,6]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,5,4,8,2,6]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,7,5,4,8,3,6]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[3,8,1,5,4,7,6,2]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,8,5,1,3,7,6,2]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[5,8,4,3,1,7,6,2]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,8,4,3,7,1,5,2]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,8,4,3,6,5,1,2]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,8,5,7,3,1,4,2]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[5,8,6,7,1,3,4,2]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,8,6,1,7,3,5,2]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,8,1,6,7,4,5,2]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[2,1,8,6,7,4,5,3]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[2,1,7,6,8,4,3,5]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[3,7,1,6,8,4,2,5]=>[1,3,2,7,4,6,5,8]=>[3,2,5,7,6,4,8,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[4,7,6,1,8,3,2,5]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,7,6,8,1,3,2,4]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,7,2,1,8,3,6]=>[1,5,2,4,3,7,6,8]=>[3,5,4,2,7,6,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,4,7,2,8,1,3,5]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,4,6,2,8,3,1,5]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,4,6,2,7,3,5,1]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[8,3,2,6,7,4,5,1]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[7,3,2,6,8,4,1,5]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[6,3,2,7,8,1,4,5]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,2,7,1,8,4,6]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,2,1,7,8,5,6]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,4,1,2,8,7,6,5]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[5,3,2,8,1,7,6,4]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,3,2,8,7,1,5,4]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,3,2,8,6,5,1,4]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,4,7,2,6,5,3,1]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[7,4,8,2,6,5,1,3]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,4,8,2,7,1,5,3]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,4,8,2,1,7,6,3]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,5,8,1,2,7,6,3]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,1,8,2,7,6,4]=>[1,3,2,5,4,8,6,7]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[2,1,5,8,3,7,6,4]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,1,6,8,7,3,5,4]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[3,6,1,8,7,2,5,4]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,6,8,1,7,2,5,3]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,6,8,7,1,2,4,3]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,5,8,7,2,1,4,3]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[7,5,8,6,2,4,1,3]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,5,7,6,2,4,3,1]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[5,7,8,6,1,4,2,3]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,8,1,6,5,2,3]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,8,6,5,2,4]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,7,8,6,5,3,4]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[3,8,1,7,6,5,4,2]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[4,8,7,1,6,5,3,2]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,8,7,6,1,4,3,2]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,8,7,5,4,1,3,2]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,1,4,3,6,5,8,7,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[3,4,1,2,6,5,8,7,10,9]=>[1,3,2,4,5,6,7,8,9,10]=>[3,2,4,5,6,7,8,9,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[10,3,2,5,4,7,6,9,8,1]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[3,5,1,7,2,9,4,10,6,8]=>[1,3,2,5,4,7,6,9,8,10]=>[3,2,5,4,7,6,9,8,10,1]=>[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]
[4,2,5,1,3,6,7,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,2,4,1,3,6,7,8]=>[1,5,3,4,2,6,7,8]=>[5,3,4,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[3,2,6,1,4,5,7,8]=>[1,3,6,5,4,2,7,8]=>[6,2,5,4,3,7,8,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[4,2,6,1,3,5,7,8]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,2,7,1,3,4,6,8]=>[1,5,3,7,6,4,2,8]=>[7,3,6,2,5,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,3,7,1,2,4,6,8]=>[1,5,2,3,7,6,4,8]=>[3,4,7,2,6,5,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,7,1,2,3,6,8]=>[1,5,2,4,3,7,6,8]=>[3,5,4,2,7,6,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,4,7,1,2,3,5,8]=>[1,6,3,7,5,2,4,8]=>[6,3,7,5,2,4,8,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[7,3,6,1,2,4,5,8]=>[1,7,5,2,3,6,4,8]=>[4,5,7,3,6,2,8,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,4,6,1,2,3,5,8]=>[1,7,5,2,4,3,6,8]=>[4,6,5,3,7,2,8,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[3,2,8,1,4,5,6,7]=>[1,3,8,7,6,5,4,2]=>[8,2,7,6,5,4,3,1]=>[[[.,.],[[[[[.,.],.],.],.],.]],.]
[4,2,8,1,3,5,6,7]=>[1,4,2,3,8,7,6,5]=>[3,4,2,8,7,6,5,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[5,2,8,1,3,4,6,7]=>[1,5,3,8,7,6,4,2]=>[8,3,7,2,6,5,4,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[6,2,8,1,3,4,5,7]=>[1,6,4,2,3,8,7,5]=>[4,5,3,8,2,7,6,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,3,8,1,2,4,5,7]=>[1,6,4,2,3,8,7,5]=>[4,5,3,8,2,7,6,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,2,8,1,3,4,5,6]=>[1,7,5,3,8,6,4,2]=>[8,4,7,3,6,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[7,3,8,1,2,4,5,6]=>[1,7,5,2,3,8,6,4]=>[4,5,8,3,7,2,6,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,4,8,1,2,3,5,6]=>[1,7,5,2,4,3,8,6]=>[4,6,5,3,8,2,7,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,5,8,1,2,3,4,6]=>[1,7,4,2,5,3,8,6]=>[4,6,3,5,8,2,7,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[8,2,4,1,3,5,6,7]=>[1,8,7,6,5,3,4,2]=>[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[8,3,5,1,2,4,6,7]=>[1,8,7,6,4,2,3,5]=>[6,7,5,8,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[8,3,6,1,2,4,5,7]=>[1,8,7,5,2,3,6,4]=>[5,6,8,4,7,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[8,3,7,1,2,4,5,6]=>[1,8,6,4,2,3,7,5]=>[5,6,4,8,3,7,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[8,4,7,1,2,3,5,6]=>[1,8,6,3,7,5,2,4]=>[7,4,8,6,3,5,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[3,2,5,7,1,4,6,8]=>[1,3,5,2,4,7,6,8]=>[4,2,5,3,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,3,5,7,1,2,6,8]=>[1,4,7,6,2,3,5,8]=>[5,6,2,7,4,3,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,2,4,7,1,3,6,8]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,4,7,1,2,6,8]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,6,7,1,3,5,8]=>[1,4,7,5,2,3,6,8]=>[5,6,2,4,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,3,5,7,1,2,4,8]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,2,4,6,1,3,5,8]=>[1,7,5,2,3,4,6,8]=>[4,5,6,3,7,2,8,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,3,4,6,1,2,5,8]=>[1,7,5,2,3,4,6,8]=>[4,5,6,3,7,2,8,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[3,2,5,8,1,4,6,7]=>[1,3,5,2,4,8,7,6]=>[4,2,5,3,8,7,6,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[4,2,5,8,1,3,6,7]=>[1,4,8,7,6,3,5,2]=>[8,6,2,7,5,4,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[3,2,6,8,1,4,5,7]=>[1,3,6,4,8,7,5,2]=>[8,2,4,7,3,6,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,2,6,8,1,3,5,7]=>[1,4,8,7,5,2,3,6]=>[6,7,2,5,8,4,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,3,6,8,1,2,5,7]=>[1,4,8,7,5,2,3,6]=>[6,7,2,5,8,4,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,2,6,8,1,3,4,7]=>[1,5,2,3,6,4,8,7]=>[3,4,6,2,5,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,2,4,8,1,3,5,7]=>[1,6,3,4,8,7,5,2]=>[8,3,4,7,2,6,5,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[6,2,5,8,1,3,4,7]=>[1,6,3,5,2,4,8,7]=>[5,3,6,4,2,8,7,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,4,5,8,1,2,3,7]=>[1,6,2,4,8,7,3,5]=>[3,7,4,8,2,6,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,2,7,8,1,4,5,6]=>[1,3,7,5,2,4,8,6]=>[5,2,6,4,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,3,7,8,1,2,5,6]=>[1,4,8,6,2,3,7,5]=>[5,6,2,8,4,7,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,3,7,8,1,2,4,6]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,7,8,1,3,4,5]=>[1,6,3,7,4,8,5,2]=>[8,3,5,7,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,2,4,8,1,3,5,6]=>[1,7,5,2,3,4,8,6]=>[4,5,6,3,8,2,7,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,3,4,8,1,2,5,6]=>[1,7,5,2,3,4,8,6]=>[4,5,6,3,8,2,7,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,3,5,8,1,2,4,6]=>[1,7,4,8,6,2,3,5]=>[6,7,3,8,5,2,4,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,4,5,8,1,2,3,6]=>[1,7,3,5,2,4,8,6]=>[5,3,6,4,8,2,7,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[8,2,4,6,1,3,5,7]=>[1,8,7,5,2,3,4,6]=>[5,6,7,4,8,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[8,3,4,6,1,2,5,7]=>[1,8,7,5,2,3,4,6]=>[5,6,7,4,8,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[8,2,5,6,1,3,4,7]=>[1,8,7,4,6,3,5,2]=>[8,6,4,7,5,3,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[8,3,5,6,1,2,4,7]=>[1,8,7,4,6,2,3,5]=>[6,7,4,8,5,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[8,2,4,7,1,3,5,6]=>[1,8,6,3,4,7,5,2]=>[8,4,5,7,3,6,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[8,2,6,7,1,3,4,5]=>[1,8,5,2,3,6,4,7]=>[4,5,7,3,6,8,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[3,6,2,5,1,4,7,8]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[5,6,2,4,1,3,7,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,7,2,5,1,4,6,8]=>[1,3,2,7,6,4,5,8]=>[3,2,6,7,5,4,8,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[4,7,3,5,1,2,6,8]=>[1,4,5,2,7,6,3,8]=>[4,7,2,3,6,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,7,2,6,1,4,5,8]=>[1,3,2,7,5,4,6,8]=>[3,2,6,5,7,4,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,7,3,6,1,2,5,8]=>[1,4,6,2,7,5,3,8]=>[4,7,2,6,3,5,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,8,3,6,1,2,4,7]=>[1,5,2,8,7,4,6,3]=>[3,8,6,2,7,5,4,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[5,8,4,6,1,2,3,7]=>[1,5,2,8,7,3,4,6]=>[3,6,7,2,8,5,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,8,3,5,1,2,4,7]=>[1,6,2,8,7,4,5,3]=>[3,8,6,7,2,5,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,8,2,7,1,4,5,6]=>[1,3,2,8,6,4,7,5]=>[3,2,6,8,5,7,4,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[4,8,2,7,1,3,5,6]=>[1,4,7,5,2,8,6,3]=>[5,8,2,4,7,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,3,7,1,2,5,6]=>[1,4,7,5,2,8,6,3]=>[5,8,2,4,7,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,2,7,1,3,4,6]=>[1,5,2,8,6,3,4,7]=>[3,6,7,2,5,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,8,3,7,1,2,4,6]=>[1,5,2,8,6,3,4,7]=>[3,6,7,2,5,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,8,4,7,1,2,3,6]=>[1,5,2,8,6,3,4,7]=>[3,6,7,2,5,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,8,3,7,1,2,4,5]=>[1,6,2,8,5,3,4,7]=>[3,6,7,5,2,8,4,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,8,5,7,1,2,3,4]=>[1,6,2,8,4,7,3,5]=>[3,7,5,8,2,6,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,3,2,6,1,4,7,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,4,2,6,1,3,7,8]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,4,2,5,1,3,7,8]=>[1,6,3,2,4,5,7,8]=>[4,3,5,6,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,3,2,7,1,4,6,8]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,2,7,1,4,5,8]=>[1,6,4,7,5,2,3,8]=>[6,7,3,5,2,4,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,4,2,7,1,3,5,8]=>[1,6,3,2,4,7,5,8]=>[4,3,5,7,2,6,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,5,3,7,1,2,4,8]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,3,2,5,1,4,6,8]=>[1,7,6,4,5,2,3,8]=>[6,7,4,5,3,2,8,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[7,3,2,6,1,4,5,8]=>[1,7,5,2,3,4,6,8]=>[4,5,6,3,7,2,8,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[4,3,2,8,1,5,6,7]=>[1,4,8,7,6,5,2,3]=>[7,8,2,6,5,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[5,4,3,8,1,2,6,7]=>[1,5,2,4,8,7,6,3]=>[3,8,4,2,7,6,5,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[6,3,2,8,1,4,5,7]=>[1,6,4,8,7,5,2,3]=>[7,8,3,6,2,5,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,5,3,8,1,2,4,7]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,5,4,8,1,2,3,7]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[7,3,2,8,1,4,5,6]=>[1,7,5,2,3,4,8,6]=>[4,5,6,3,8,2,7,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,5,4,8,1,2,3,6]=>[1,7,3,4,8,6,2,5]=>[7,3,4,8,6,2,5,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[8,3,2,5,1,4,6,7]=>[1,8,7,6,4,5,2,3]=>[7,8,5,6,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[8,4,2,5,1,3,6,7]=>[1,8,7,6,3,2,4,5]=>[6,5,7,8,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[8,3,2,6,1,4,5,7]=>[1,8,7,5,2,3,4,6]=>[5,6,7,4,8,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[8,4,2,6,1,3,5,7]=>[1,8,7,5,2,4,6,3]=>[5,8,6,4,7,3,2,1]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]
[8,6,2,4,1,3,5,7]=>[1,8,7,5,2,6,3,4]=>[5,7,8,4,6,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[8,5,2,7,1,3,4,6]=>[1,8,6,3,2,5,4,7]=>[5,4,7,6,3,8,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[8,7,2,5,1,3,4,6]=>[1,8,6,3,2,7,4,5]=>[5,4,7,8,3,6,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[8,7,2,6,1,3,4,5]=>[1,8,5,2,7,4,6,3]=>[4,8,6,3,7,5,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[8,7,3,6,1,2,4,5]=>[1,8,5,2,7,4,6,3]=>[4,8,6,3,7,5,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[8,7,4,6,1,2,3,5]=>[1,8,5,2,7,3,4,6]=>[4,6,7,3,8,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[4,6,3,5,8,1,2,7]=>[1,4,5,8,7,2,6,3]=>[6,8,2,3,7,5,4,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[5,7,2,4,8,1,3,6]=>[1,5,8,6,2,7,3,4]=>[5,7,8,2,4,6,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,7,3,4,8,1,2,6]=>[1,5,8,6,2,7,3,4]=>[5,7,8,2,4,6,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,7,2,6,8,1,4,5]=>[1,3,2,7,4,6,5,8]=>[3,2,5,7,6,4,8,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[6,7,3,4,8,1,2,5]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,7,3,5,8,1,2,4]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,8,2,5,7,1,4,6]=>[1,3,2,8,6,4,5,7]=>[3,2,6,7,5,8,4,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[4,8,2,5,7,1,3,6]=>[1,4,5,7,3,2,8,6]=>[6,5,2,3,8,4,7,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[4,8,3,5,7,1,2,6]=>[1,4,5,7,2,8,6,3]=>[5,8,2,3,7,4,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,8,2,4,7,1,3,6]=>[1,5,7,3,2,8,6,4]=>[5,4,8,2,7,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,8,2,6,7,1,4,5]=>[1,3,2,8,5,7,4,6]=>[3,2,7,5,8,6,4,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[4,8,3,6,7,1,2,5]=>[1,4,6,2,8,5,7,3]=>[4,8,2,6,3,7,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,8,2,6,7,1,3,4]=>[1,5,7,3,2,8,4,6]=>[5,4,7,2,8,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,8,4,6,7,1,2,3]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,8,2,5,7,1,3,4]=>[1,6,2,8,4,5,7,3]=>[3,8,5,6,2,7,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,8,3,5,7,1,2,4]=>[1,6,2,8,4,5,7,3]=>[3,8,5,6,2,7,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,8,4,5,7,1,2,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,8,2,4,6,1,3,5]=>[1,7,3,2,8,5,6,4]=>[4,3,8,6,7,2,5,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,8,3,4,6,1,2,5]=>[1,7,2,8,5,6,3,4]=>[3,7,8,5,6,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,3,2,6,8,1,4,7]=>[1,5,8,7,4,6,2,3]=>[7,8,5,2,6,4,3,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[5,4,2,6,8,1,3,7]=>[1,5,8,7,3,2,4,6]=>[6,5,7,2,8,4,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,3,2,7,8,1,4,6]=>[1,5,8,6,2,3,4,7]=>[5,6,7,2,4,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,5,2,7,8,1,3,4]=>[1,6,2,5,8,4,7,3]=>[3,8,6,4,2,7,5,1]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]
[7,4,2,5,8,1,3,6]=>[1,7,3,2,4,5,8,6]=>[4,3,5,6,8,2,7,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[7,4,3,5,8,1,2,6]=>[1,7,2,4,5,8,6,3]=>[3,8,4,5,7,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,3,4,8,1,2,6]=>[1,7,2,5,8,6,3,4]=>[3,7,8,4,6,2,5,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,5,2,6,8,1,3,4]=>[1,7,3,2,5,8,4,6]=>[4,3,7,5,8,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,5,3,6,8,1,2,4]=>[1,7,2,5,8,4,6,3]=>[3,8,6,4,7,2,5,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,6,3,5,8,1,2,4]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,3,2,5,7,1,4,6]=>[1,8,6,2,3,4,5,7]=>[4,5,6,7,3,8,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[8,3,2,6,7,1,4,5]=>[1,8,5,7,4,6,2,3]=>[7,8,5,3,6,4,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[8,4,2,6,7,1,3,5]=>[1,8,5,7,3,2,4,6]=>[6,5,7,3,8,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[8,6,2,4,7,1,3,5]=>[1,8,5,7,3,2,6,4]=>[6,5,8,3,7,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[8,6,3,5,7,1,2,4]=>[1,8,4,5,7,2,6,3]=>[6,8,3,4,7,5,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,7,2,4,6,1,3,5]=>[1,8,5,6,2,7,3,4]=>[5,7,8,3,4,6,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[8,7,3,4,6,1,2,5]=>[1,8,5,6,2,7,3,4]=>[5,7,8,3,4,6,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[8,7,2,5,6,1,3,4]=>[1,8,4,5,6,2,7,3]=>[6,8,3,4,5,7,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[8,7,3,5,6,1,2,4]=>[1,8,4,5,6,2,7,3]=>[6,8,3,4,5,7,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[4,3,7,2,6,1,5,8]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,3,7,2,6,1,4,8]=>[1,5,6,2,3,7,4,8]=>[4,5,7,2,3,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,4,7,2,5,1,3,8]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,4,7,3,5,1,2,8]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[4,3,8,2,6,1,5,7]=>[1,4,2,3,8,7,5,6]=>[3,4,2,7,8,6,5,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,3,8,2,6,1,4,7]=>[1,5,6,2,3,8,7,4]=>[4,5,8,2,3,7,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,4,8,2,6,1,3,7]=>[1,5,6,2,4,3,8,7]=>[4,6,5,2,3,8,7,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,4,8,3,6,1,2,7]=>[1,5,6,2,4,3,8,7]=>[4,6,5,2,3,8,7,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[6,4,8,2,5,1,3,7]=>[1,6,2,4,3,8,7,5]=>[3,5,4,8,2,7,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,4,8,3,5,1,2,7]=>[1,6,2,4,3,8,7,5]=>[3,5,4,8,2,7,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,3,8,2,7,1,4,6]=>[1,5,7,4,2,3,8,6]=>[5,6,4,2,8,3,7,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,4,8,2,7,1,3,6]=>[1,5,7,3,8,6,2,4]=>[7,4,8,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,4,8,3,7,1,2,6]=>[1,5,7,2,4,3,8,6]=>[4,6,5,2,8,3,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,4,8,2,7,1,3,5]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,4,8,3,7,1,2,5]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,3,8,2,5,1,4,6]=>[1,7,4,2,3,8,6,5]=>[4,5,3,8,7,2,6,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,4,8,3,5,1,2,6]=>[1,7,2,4,3,8,6,5]=>[3,5,4,8,7,2,6,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,5,8,2,4,1,3,6]=>[1,7,3,8,6,2,5,4]=>[6,3,8,7,5,2,4,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[7,3,8,2,6,1,4,5]=>[1,7,4,2,3,8,5,6]=>[4,5,3,7,8,2,6,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[7,4,8,2,6,1,3,5]=>[1,7,3,8,5,6,2,4]=>[7,3,8,5,6,2,4,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,5,8,2,6,1,3,4]=>[1,7,3,8,4,2,5,6]=>[6,3,5,7,8,2,4,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[7,6,8,2,5,1,3,4]=>[1,7,3,8,4,2,6,5]=>[6,3,5,8,7,2,4,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[7,6,8,3,5,1,2,4]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,4,6,2,5,1,3,7]=>[1,8,7,3,6,2,4,5]=>[6,4,7,8,5,3,2,1]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]
[8,5,6,2,4,1,3,7]=>[1,8,7,3,6,2,5,4]=>[6,4,8,7,5,3,2,1]=>[[[[[.,.],[[[.,.],.],.]],.],.],.]
[8,6,7,2,5,1,3,4]=>[1,8,4,2,6,3,7,5]=>[4,6,3,8,5,7,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[6,4,3,2,7,1,5,8]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,6,3,2,5,1,4,8]=>[1,7,4,2,6,3,5,8]=>[4,6,3,7,5,2,8,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[5,4,3,2,8,1,6,7]=>[1,5,8,7,6,2,4,3]=>[6,8,7,2,5,4,3,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[7,5,4,2,8,1,3,6]=>[1,7,3,4,2,5,8,6]=>[5,3,4,6,8,2,7,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[7,6,3,2,8,1,4,5]=>[1,7,4,2,6,3,5,8]=>[4,6,3,7,5,2,8,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,6,4,3,8,1,2,5]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,6,5,3,8,1,2,4]=>[1,7,2,6,3,5,8,4]=>[3,5,8,6,4,2,7,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[8,5,4,2,6,1,3,7]=>[1,8,7,3,4,2,5,6]=>[6,4,5,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[8,6,3,2,5,1,4,7]=>[1,8,7,4,2,6,3,5]=>[5,7,4,8,6,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[8,6,5,2,4,1,3,7]=>[1,8,7,3,5,4,2,6]=>[7,4,6,5,8,3,2,1]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]
[8,6,3,2,7,1,4,5]=>[1,8,5,7,4,2,6,3]=>[6,8,5,3,7,4,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[8,6,4,2,7,1,3,5]=>[1,8,5,7,3,4,2,6]=>[7,5,6,3,8,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[8,7,3,2,6,1,4,5]=>[1,8,5,6,2,7,4,3]=>[5,8,7,3,4,6,2,1]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[8,7,4,2,6,1,3,5]=>[1,8,5,6,2,7,3,4]=>[5,7,8,3,4,6,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[8,7,4,3,6,1,2,5]=>[1,8,5,6,2,7,3,4]=>[5,7,8,3,4,6,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[8,7,5,2,6,1,3,4]=>[1,8,4,2,7,3,5,6]=>[4,6,3,7,8,5,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[8,7,6,2,4,1,3,5]=>[1,8,5,4,2,7,3,6]=>[5,7,4,3,8,6,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[8,7,6,2,5,1,3,4]=>[1,8,4,2,7,3,6,5]=>[4,6,3,8,7,5,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[8,7,6,3,5,1,2,4]=>[1,8,4,3,6,2,7,5]=>[6,4,3,8,5,7,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[4,8,3,7,2,6,1,5]=>[1,4,7,2,8,5,3,6]=>[4,7,2,6,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,4,7,2,6,1,3]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,8,4,7,2,5,1,3]=>[1,6,5,2,8,3,4,7]=>[4,6,7,3,2,8,5,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[6,8,5,7,2,4,1,3]=>[1,6,4,7,2,8,3,5]=>[5,7,3,8,2,4,6,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,8,5,7,3,4,1,2]=>[1,6,4,7,2,8,3,5]=>[5,7,3,8,2,4,6,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[7,8,3,6,2,5,1,4]=>[1,7,2,8,4,6,5,3]=>[3,8,5,7,6,2,4,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,8,4,6,2,5,1,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,8,4,6,3,5,1,2]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,8,5,6,2,4,1,3]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,4,3,8,2,7,1,6]=>[1,5,2,4,8,6,7,3]=>[3,8,4,2,6,7,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[7,4,3,8,2,6,1,5]=>[1,7,2,4,8,5,3,6]=>[3,7,4,6,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,5,3,7,2,6,1,4]=>[1,8,4,7,2,5,3,6]=>[5,7,3,6,8,4,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[8,5,4,7,2,6,1,3]=>[1,8,3,4,7,2,5,6]=>[6,3,4,7,8,5,2,1]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.]
[8,6,3,7,2,5,1,4]=>[1,8,4,7,2,6,5,3]=>[5,8,3,7,6,4,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[8,6,5,7,2,4,1,3]=>[1,8,3,5,2,6,4,7]=>[5,3,7,4,6,8,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[8,7,3,6,2,5,1,4]=>[1,8,4,6,5,2,7,3]=>[6,8,3,5,4,7,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[8,7,4,6,3,5,1,2]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[8,7,5,6,2,4,1,3]=>[1,8,3,5,2,7,4,6]=>[5,3,7,4,8,6,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[7,6,4,3,2,8,1,5]=>[1,7,2,6,8,5,3,4]=>[3,7,8,6,4,2,5,1]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[8,5,4,3,2,7,1,6]=>[1,8,6,7,2,5,3,4]=>[5,7,8,6,3,4,2,1]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[8,6,4,3,2,7,1,5]=>[1,8,5,2,6,7,3,4]=>[4,7,8,3,5,6,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[8,7,4,3,2,6,1,5]=>[1,8,5,2,7,3,4,6]=>[4,6,7,3,8,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[8,7,5,3,2,6,1,4]=>[1,8,4,3,5,2,7,6]=>[6,4,3,5,8,7,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[8,7,5,4,2,6,1,3]=>[1,8,3,5,2,7,4,6]=>[5,3,7,4,8,6,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[8,7,6,4,2,5,1,3]=>[1,8,3,6,5,2,7,4]=>[6,3,8,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[8,1,2,3,4,7,5,6]=>[1,8,6,7,5,4,3,2]=>[8,7,6,5,3,4,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[8,1,2,3,6,4,5,7]=>[1,8,7,5,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[8,1,2,3,7,4,5,6]=>[1,8,6,4,3,2,5,7]=>[6,5,4,7,3,8,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[7,1,2,3,6,4,8,5]=>[1,7,8,5,6,4,3,2]=>[8,7,6,4,5,2,3,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[8,1,2,3,6,7,4,5]=>[1,8,5,6,7,4,3,2]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[4,1,2,8,3,7,5,6]=>[1,4,8,6,7,5,3,2]=>[8,7,2,6,4,5,3,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[8,1,2,5,3,4,6,7]=>[1,8,7,6,4,5,3,2]=>[8,7,5,6,4,3,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[7,1,2,5,3,4,8,6]=>[1,7,8,6,4,5,3,2]=>[8,7,5,6,4,2,3,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[8,1,2,6,3,4,5,7]=>[1,8,7,5,3,2,4,6]=>[6,5,7,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[8,1,2,5,3,7,4,6]=>[1,8,6,7,4,5,3,2]=>[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[6,1,2,5,3,7,8,4]=>[1,6,7,8,4,5,3,2]=>[8,7,5,6,2,3,4,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[4,1,2,8,6,3,5,7]=>[1,4,8,7,5,6,3,2]=>[8,7,2,5,6,4,3,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[4,1,2,8,7,3,5,6]=>[1,4,8,6,3,2,5,7]=>[6,5,2,7,4,8,3,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[8,1,2,5,6,3,4,7]=>[1,8,7,4,5,6,3,2]=>[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[8,1,2,5,7,3,4,6]=>[1,8,6,3,2,4,5,7]=>[5,4,6,7,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[7,1,2,5,6,3,8,4]=>[1,7,8,4,5,6,3,2]=>[8,7,4,5,6,2,3,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[4,1,2,8,6,7,3,5]=>[1,4,8,5,6,7,3,2]=>[8,7,2,4,5,6,3,1]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[8,1,2,5,6,7,3,4]=>[1,8,4,5,6,7,3,2]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[3,1,8,2,4,7,5,6]=>[1,3,8,6,7,5,4,2]=>[8,2,7,6,4,5,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[3,1,8,2,6,4,5,7]=>[1,3,8,7,5,6,4,2]=>[8,2,7,5,6,4,3,1]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]
[3,1,8,2,7,4,5,6]=>[1,3,8,6,4,2,5,7]=>[6,2,5,7,4,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[3,1,7,2,6,4,8,5]=>[1,3,7,8,5,6,4,2]=>[8,2,7,5,6,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,1,8,2,6,7,4,5]=>[1,3,8,5,6,7,4,2]=>[8,2,7,4,5,6,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[8,1,4,2,3,5,6,7]=>[1,8,7,6,5,3,4,2]=>[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[7,1,4,2,3,5,8,6]=>[1,7,8,6,5,3,4,2]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[6,1,4,2,3,8,5,7]=>[1,6,8,7,5,3,4,2]=>[8,6,7,5,2,4,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[8,1,4,2,3,7,5,6]=>[1,8,6,7,5,3,4,2]=>[8,6,7,5,3,4,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[6,1,4,2,3,7,8,5]=>[1,6,7,8,5,3,4,2]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[8,1,5,2,3,4,6,7]=>[1,8,7,6,4,2,3,5]=>[6,7,5,8,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[7,1,5,2,3,4,8,6]=>[1,7,8,6,4,2,3,5]=>[6,7,5,8,4,2,3,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[8,1,7,2,3,4,5,6]=>[1,8,6,4,2,3,7,5]=>[5,6,4,8,3,7,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[6,1,5,2,3,8,4,7]=>[1,6,8,7,4,2,3,5]=>[6,7,5,8,2,4,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[8,1,5,2,3,7,4,6]=>[1,8,6,7,4,2,3,5]=>[6,7,5,8,3,4,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[6,1,5,2,3,7,8,4]=>[1,6,7,8,4,2,3,5]=>[6,7,5,8,2,3,4,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[5,1,4,2,8,3,6,7]=>[1,5,8,7,6,3,4,2]=>[8,6,7,2,5,4,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,1,4,2,7,3,8,6]=>[1,5,7,8,6,3,4,2]=>[8,6,7,2,5,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[8,1,4,2,6,3,5,7]=>[1,8,7,5,6,3,4,2]=>[8,6,7,4,5,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[8,1,4,2,7,3,5,6]=>[1,8,6,3,4,2,5,7]=>[6,4,5,7,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[7,1,4,2,6,3,8,5]=>[1,7,8,5,6,3,4,2]=>[8,6,7,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[8,1,5,2,6,3,4,7]=>[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[7,1,8,2,6,3,4,5]=>[1,7,4,2,3,8,5,6]=>[4,5,3,7,8,2,6,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[5,1,4,2,6,8,3,7]=>[1,5,6,8,7,3,4,2]=>[8,6,7,2,3,5,4,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[8,1,4,2,6,7,3,5]=>[1,8,5,6,7,3,4,2]=>[8,6,7,3,4,5,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[5,1,4,2,6,7,8,3]=>[1,5,6,7,8,3,4,2]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[3,1,4,8,2,7,5,6]=>[1,3,4,8,6,7,5,2]=>[8,2,3,7,5,6,4,1]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]
[3,1,8,5,2,4,6,7]=>[1,3,8,7,6,4,5,2]=>[8,2,6,7,5,4,3,1]=>[[[.,.],[[[[.,[.,.]],.],.],.]],.]
[3,1,7,5,2,4,8,6]=>[1,3,7,8,6,4,5,2]=>[8,2,6,7,5,3,4,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,1,8,6,2,7,4,5]=>[1,3,8,5,2,4,6,7]=>[5,2,6,4,7,8,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[8,1,4,5,2,3,6,7]=>[1,8,7,6,3,4,5,2]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[7,1,4,5,2,3,8,6]=>[1,7,8,6,3,4,5,2]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[8,1,4,6,2,3,5,7]=>[1,8,7,5,2,3,4,6]=>[5,6,7,4,8,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[7,1,4,8,2,3,5,6]=>[1,7,5,2,3,4,8,6]=>[4,5,6,3,8,2,7,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[8,1,6,5,2,3,4,7]=>[1,8,7,4,5,2,3,6]=>[6,7,4,5,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[7,1,8,5,2,3,4,6]=>[1,7,4,5,2,3,8,6]=>[5,6,3,4,8,2,7,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[7,1,8,6,2,3,4,5]=>[1,7,4,6,3,8,5,2]=>[8,5,3,7,4,2,6,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[7,1,6,5,2,3,8,4]=>[1,7,8,4,5,2,3,6]=>[6,7,4,5,8,2,3,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[6,1,4,5,2,8,3,7]=>[1,6,8,7,3,4,5,2]=>[8,5,6,7,2,4,3,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,1,4,5,2,7,3,6]=>[1,8,6,7,3,4,5,2]=>[8,5,6,7,3,4,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[6,1,4,5,2,7,8,3]=>[1,6,7,8,3,4,5,2]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[3,1,4,7,6,2,8,5]=>[1,3,4,7,8,5,6,2]=>[8,2,3,6,7,4,5,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[3,1,8,5,6,2,4,7]=>[1,3,8,7,4,5,6,2]=>[8,2,5,6,7,4,3,1]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]
[3,1,8,5,7,2,4,6]=>[1,3,8,6,2,4,5,7]=>[5,2,6,7,4,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[8,1,4,5,6,2,3,7]=>[1,8,7,3,4,5,6,2]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[8,1,4,5,7,2,3,6]=>[1,8,6,2,3,4,5,7]=>[4,5,6,7,3,8,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[7,1,4,5,6,2,8,3]=>[1,7,8,3,4,5,6,2]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[3,1,4,8,6,7,2,5]=>[1,3,4,8,5,6,7,2]=>[8,2,3,5,6,7,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[3,1,8,5,6,7,2,4]=>[1,3,8,4,5,6,7,2]=>[8,2,4,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[8,1,4,5,6,7,2,3]=>[1,8,3,4,5,6,7,2]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[2,8,1,3,4,7,5,6]=>[1,2,8,6,7,5,4,3]=>[2,8,7,6,4,5,3,1]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[2,8,1,3,6,4,5,7]=>[1,2,8,7,5,6,4,3]=>[2,8,7,5,6,4,3,1]=>[[.,[[[[[.,.],.],[.,.]],.],.]],.]
[2,7,1,3,6,4,8,5]=>[1,2,7,8,5,6,4,3]=>[2,8,7,5,6,3,4,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[2,8,1,3,6,7,4,5]=>[1,2,8,5,6,7,4,3]=>[2,8,7,4,5,6,3,1]=>[[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[2,4,1,8,3,7,5,6]=>[1,2,4,8,6,7,5,3]=>[2,8,3,7,5,6,4,1]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[2,8,1,5,3,4,6,7]=>[1,2,8,7,6,4,5,3]=>[2,8,6,7,5,4,3,1]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]
[2,7,1,5,3,4,8,6]=>[1,2,7,8,6,4,5,3]=>[2,8,6,7,5,3,4,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[2,8,1,6,3,4,5,7]=>[1,2,8,7,5,3,4,6]=>[2,6,7,5,8,4,3,1]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[2,8,1,6,3,7,4,5]=>[1,2,8,5,3,4,6,7]=>[2,5,6,4,7,8,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[2,4,1,8,6,3,5,7]=>[1,2,4,8,7,5,6,3]=>[2,8,3,6,7,5,4,1]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[2,4,1,8,7,3,5,6]=>[1,2,4,8,6,3,5,7]=>[2,6,3,7,5,8,4,1]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[2,8,1,5,6,3,4,7]=>[1,2,8,7,4,5,6,3]=>[2,8,5,6,7,4,3,1]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]
[2,8,1,5,7,3,4,6]=>[1,2,8,6,3,4,5,7]=>[2,5,6,7,4,8,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[2,4,1,8,6,7,3,5]=>[1,2,4,8,5,6,7,3]=>[2,8,3,5,6,7,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[2,8,1,5,6,7,3,4]=>[1,2,8,4,5,6,7,3]=>[2,8,4,5,6,7,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[7,3,1,2,4,5,8,6]=>[1,7,8,6,5,4,2,3]=>[7,8,6,5,4,2,3,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[6,3,1,2,4,8,5,7]=>[1,6,8,7,5,4,2,3]=>[7,8,6,5,2,4,3,1]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[8,3,1,2,4,7,5,6]=>[1,8,6,7,5,4,2,3]=>[7,8,6,5,3,4,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[5,3,1,2,6,8,4,7]=>[1,5,6,8,7,4,2,3]=>[7,8,6,2,3,5,4,1]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[8,3,1,2,6,7,4,5]=>[1,8,5,6,7,4,2,3]=>[7,8,6,3,4,5,2,1]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[5,3,1,2,6,7,8,4]=>[1,5,6,7,8,4,2,3]=>[7,8,6,2,3,4,5,1]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[7,4,1,2,3,5,8,6]=>[1,7,8,6,5,3,2,4]=>[7,6,8,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[6,4,1,2,3,8,5,7]=>[1,6,8,7,5,3,2,4]=>[7,6,8,5,2,4,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[8,4,1,2,3,7,5,6]=>[1,8,6,7,5,3,2,4]=>[7,6,8,5,3,4,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[7,6,1,2,3,4,8,5]=>[1,7,8,5,3,2,6,4]=>[6,5,8,4,7,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[5,8,1,2,3,7,4,6]=>[1,5,3,2,8,6,7,4]=>[4,3,8,2,6,7,5,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,4,1,2,7,3,8,6]=>[1,5,7,8,6,3,2,4]=>[7,6,8,2,5,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[8,4,1,2,7,3,5,6]=>[1,8,6,3,2,4,5,7]=>[5,4,6,7,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[7,4,1,2,6,3,8,5]=>[1,7,8,5,6,3,2,4]=>[7,6,8,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[5,8,1,2,7,3,4,6]=>[1,5,7,4,2,8,6,3]=>[5,8,4,2,7,3,6,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,7,1,2,6,3,8,4]=>[1,5,6,3,2,7,8,4]=>[5,4,8,2,3,6,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,4,1,2,8,7,3,6]=>[1,5,8,6,7,3,2,4]=>[7,6,8,2,4,5,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[8,4,1,2,6,7,3,5]=>[1,8,5,6,7,3,2,4]=>[7,6,8,3,4,5,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[5,8,1,2,6,7,3,4]=>[1,5,6,7,3,2,8,4]=>[6,5,8,2,3,4,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,4,1,2,6,7,8,3]=>[1,5,6,7,8,3,2,4]=>[7,6,8,2,3,4,5,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,3,1,8,2,5,6,7]=>[1,4,8,7,6,5,2,3]=>[7,8,2,6,5,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[4,3,1,6,2,8,5,7]=>[1,4,6,8,7,5,2,3]=>[7,8,2,6,3,5,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,3,1,8,2,7,5,6]=>[1,4,8,6,7,5,2,3]=>[7,8,2,6,4,5,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[8,3,1,5,2,4,6,7]=>[1,8,7,6,4,5,2,3]=>[7,8,5,6,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[8,3,1,6,2,4,5,7]=>[1,8,7,5,2,3,4,6]=>[5,6,7,4,8,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[7,3,1,8,2,4,5,6]=>[1,7,5,2,3,4,8,6]=>[4,5,6,3,8,2,7,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[6,3,1,5,2,8,4,7]=>[1,6,8,7,4,5,2,3]=>[7,8,5,6,2,4,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[8,3,1,5,2,7,4,6]=>[1,8,6,7,4,5,2,3]=>[7,8,5,6,3,4,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[6,3,1,5,2,7,8,4]=>[1,6,7,8,4,5,2,3]=>[7,8,5,6,2,3,4,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[8,4,1,5,2,3,6,7]=>[1,8,7,6,3,2,4,5]=>[6,5,7,8,4,3,2,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[8,4,1,6,2,3,5,7]=>[1,8,7,5,2,4,6,3]=>[5,8,6,4,7,3,2,1]=>[[[[[.,[[.,.],.]],[.,.]],.],.],.]
[7,4,1,6,2,3,8,5]=>[1,7,8,5,2,4,6,3]=>[5,8,6,4,7,2,3,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[6,8,1,5,2,3,4,7]=>[1,6,3,2,8,7,4,5]=>[4,3,7,8,2,6,5,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,7,1,5,2,3,4,6]=>[1,8,6,3,2,7,4,5]=>[5,4,7,8,3,6,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[8,7,1,6,2,3,4,5]=>[1,8,5,2,7,4,6,3]=>[4,8,6,3,7,5,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[8,4,1,5,2,7,3,6]=>[1,8,6,7,3,2,4,5]=>[6,5,7,8,3,4,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[6,8,1,5,2,7,3,4]=>[1,6,7,3,2,8,4,5]=>[5,4,7,8,2,3,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,4,1,5,2,7,8,3]=>[1,6,7,8,3,2,4,5]=>[6,5,7,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,3,1,5,7,2,8,6]=>[1,4,5,7,8,6,2,3]=>[7,8,2,3,6,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,3,1,5,7,2,4,6]=>[1,8,6,2,3,4,5,7]=>[4,5,6,7,3,8,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[7,3,1,5,6,2,8,4]=>[1,7,8,4,5,6,2,3]=>[7,8,4,5,6,2,3,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[8,4,1,5,6,2,3,7]=>[1,8,7,3,2,4,5,6]=>[5,4,6,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[4,3,1,5,6,8,2,7]=>[1,4,5,6,8,7,2,3]=>[7,8,2,3,4,6,5,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[8,3,1,5,6,7,2,4]=>[1,8,4,5,6,7,2,3]=>[7,8,3,4,5,6,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[8,4,1,5,6,7,2,3]=>[1,8,3,2,4,5,6,7]=>[4,3,5,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[4,3,1,5,6,7,8,2]=>[1,4,5,6,7,8,2,3]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,3,8,1,6,4,5,7]=>[1,2,3,8,7,5,6,4]=>[2,3,8,6,7,5,4,1]=>[[.,[.,[[[[.,.],[.,.]],.],.]]],.]
[2,3,5,1,8,7,4,6]=>[1,2,3,5,8,6,7,4]=>[2,3,8,4,6,7,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,3,8,1,6,7,4,5]=>[1,2,3,8,5,6,7,4]=>[2,3,8,5,6,7,4,1]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[2,8,4,1,3,5,6,7]=>[1,2,8,7,6,5,3,4]=>[2,7,8,6,5,4,3,1]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]
[2,6,4,1,3,8,5,7]=>[1,2,6,8,7,5,3,4]=>[2,7,8,6,3,5,4,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[2,8,5,1,3,4,6,7]=>[1,2,8,7,6,4,3,5]=>[2,7,6,8,5,4,3,1]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]
[2,7,5,1,3,4,8,6]=>[1,2,7,8,6,4,3,5]=>[2,7,6,8,5,3,4,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[2,6,5,1,3,8,4,7]=>[1,2,6,8,7,4,3,5]=>[2,7,6,8,3,5,4,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[2,5,4,1,7,3,8,6]=>[1,2,5,7,8,6,3,4]=>[2,7,8,3,6,4,5,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,8,4,1,7,3,5,6]=>[1,2,8,6,3,4,5,7]=>[2,5,6,7,4,8,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[2,7,4,1,6,3,8,5]=>[1,2,7,8,5,6,3,4]=>[2,7,8,5,6,3,4,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[2,8,5,1,7,3,4,6]=>[1,2,8,6,3,5,7,4]=>[2,5,8,6,4,7,3,1]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]
[2,7,5,1,6,3,8,4]=>[1,2,7,8,4,3,5,6]=>[2,6,5,7,8,3,4,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,8,4,1,6,7,3,5]=>[1,2,8,5,6,7,3,4]=>[2,7,8,4,5,6,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[2,8,5,1,6,7,3,4]=>[1,2,8,4,3,5,6,7]=>[2,5,4,6,7,8,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[2,5,4,1,6,7,8,3]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,3,4,1,2,7,8,5]=>[1,6,7,8,5,2,3,4]=>[6,7,8,5,2,3,4,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[7,3,5,1,2,4,8,6]=>[1,7,8,6,4,2,3,5]=>[6,7,5,8,4,2,3,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[6,3,5,1,2,8,4,7]=>[1,6,8,7,4,2,3,5]=>[6,7,5,8,2,4,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[8,3,5,1,2,7,4,6]=>[1,8,6,7,4,2,3,5]=>[6,7,5,8,3,4,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[6,3,5,1,2,7,8,4]=>[1,6,7,8,4,2,3,5]=>[6,7,5,8,2,3,4,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[7,5,4,1,2,3,8,6]=>[1,7,8,6,3,4,2,5]=>[7,5,6,8,4,2,3,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[6,8,4,1,2,3,5,7]=>[1,6,3,4,2,8,7,5]=>[5,3,4,8,2,7,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[6,7,4,1,2,3,8,5]=>[1,6,3,4,2,7,8,5]=>[5,3,4,8,2,6,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,8,5,1,2,3,4,7]=>[1,6,3,5,2,8,7,4]=>[5,3,8,4,2,7,6,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,7,5,1,2,3,8,4]=>[1,6,3,5,2,7,8,4]=>[5,3,8,4,2,6,7,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,3,4,1,8,2,6,7]=>[1,5,8,7,6,2,3,4]=>[6,7,8,2,5,4,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,3,4,1,7,2,5,6]=>[1,8,6,2,3,4,5,7]=>[4,5,6,7,3,8,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[7,3,4,1,6,2,8,5]=>[1,7,8,5,6,2,3,4]=>[6,7,8,4,5,2,3,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[8,3,5,1,6,2,4,7]=>[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[7,3,8,1,6,2,4,5]=>[1,7,4,2,3,8,5,6]=>[4,5,3,7,8,2,6,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[8,5,4,1,6,2,3,7]=>[1,8,7,3,4,2,5,6]=>[6,4,5,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[7,8,5,1,6,2,3,4]=>[1,7,3,5,6,2,8,4]=>[6,3,8,4,5,2,7,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[5,3,4,1,6,8,2,7]=>[1,5,6,8,7,2,3,4]=>[6,7,8,2,3,5,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,3,4,1,8,7,2,6]=>[1,5,8,6,7,2,3,4]=>[6,7,8,2,4,5,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,3,4,1,6,7,2,5]=>[1,8,5,6,7,2,3,4]=>[6,7,8,3,4,5,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[8,5,4,1,6,7,2,3]=>[1,8,3,4,2,5,6,7]=>[5,3,4,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[5,3,4,1,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,3,4,8,1,7,5,6]=>[1,2,3,4,8,6,7,5]=>[2,3,4,8,6,7,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[2,8,4,5,1,3,6,7]=>[1,2,8,7,6,3,4,5]=>[2,6,7,8,5,4,3,1]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[2,7,4,5,1,3,8,6]=>[1,2,7,8,6,3,4,5]=>[2,6,7,8,5,3,4,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[2,8,4,6,1,3,5,7]=>[1,2,8,7,5,3,4,6]=>[2,6,7,5,8,4,3,1]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[2,7,4,8,1,3,5,6]=>[1,2,7,5,3,4,8,6]=>[2,5,6,4,8,3,7,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[2,8,6,5,1,3,4,7]=>[1,2,8,7,4,5,3,6]=>[2,7,5,6,8,4,3,1]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]
[2,7,8,6,1,3,4,5]=>[1,2,7,4,6,3,8,5]=>[2,6,4,8,5,3,7,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[2,7,6,5,1,3,8,4]=>[1,2,7,8,4,5,3,6]=>[2,7,5,6,8,3,4,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,8,4,6,1,7,3,5]=>[1,2,8,5,3,4,6,7]=>[2,5,6,4,7,8,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[2,8,6,5,1,7,3,4]=>[1,2,8,4,5,3,6,7]=>[2,6,4,5,7,8,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[7,3,4,5,1,2,8,6]=>[1,7,8,6,2,3,4,5]=>[5,6,7,8,4,2,3,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[8,3,6,5,1,2,4,7]=>[1,8,7,4,5,2,3,6]=>[6,7,4,5,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[7,3,8,5,1,2,4,6]=>[1,7,4,5,2,3,8,6]=>[5,6,3,4,8,2,7,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[7,3,8,6,1,2,4,5]=>[1,7,4,6,2,3,8,5]=>[5,6,3,8,4,2,7,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,3,6,5,1,2,8,4]=>[1,7,8,4,5,2,3,6]=>[6,7,4,5,8,2,3,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[6,3,4,5,1,8,2,7]=>[1,6,8,7,2,3,4,5]=>[5,6,7,8,2,4,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,3,4,5,1,7,2,6]=>[1,8,6,7,2,3,4,5]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[8,6,4,5,1,7,2,3]=>[1,8,3,4,5,2,6,7]=>[6,3,4,5,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[6,3,4,5,1,7,8,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,3,4,8,7,1,5,6]=>[1,2,3,4,8,6,5,7]=>[2,3,4,7,6,8,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[2,3,4,7,6,1,8,5]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,3,8,5,6,1,4,7]=>[1,2,3,8,7,4,5,6]=>[2,3,6,7,8,5,4,1]=>[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]
[2,3,8,7,6,1,4,5]=>[1,2,3,8,5,6,4,7]=>[2,3,7,5,6,8,4,1]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[2,8,4,5,6,1,3,7]=>[1,2,8,7,3,4,5,6]=>[2,5,6,7,8,4,3,1]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[2,8,4,5,7,1,3,6]=>[1,2,8,6,3,4,5,7]=>[2,5,6,7,4,8,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[2,8,7,5,6,1,3,4]=>[1,2,8,4,5,6,3,7]=>[2,7,4,5,6,8,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[2,7,4,5,6,1,8,3]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,3,4,5,7,1,2,6]=>[1,8,6,2,3,4,5,7]=>[4,5,6,7,3,8,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[7,3,4,5,6,1,8,2]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,5,8,7,1,6]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,3,4,8,6,7,1,5]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,8,5,6,7,1,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,8,4,5,6,7,1,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[9,1,2,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[8,1,2,3,4,5,6,9,7]=>[1,8,9,7,6,5,4,3,2]=>[9,8,7,6,5,4,2,3,1]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]
[7,1,2,3,4,5,9,6,8]=>[1,7,9,8,6,5,4,3,2]=>[9,8,7,6,5,2,4,3,1]=>[[[[[[[.,.],.],.],.],.],[[.,.],.]],.]
[9,1,2,3,4,5,8,6,7]=>[1,9,7,8,6,5,4,3,2]=>[9,8,7,6,5,3,4,2,1]=>[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]
[7,1,2,3,4,5,8,9,6]=>[1,7,8,9,6,5,4,3,2]=>[9,8,7,6,5,2,3,4,1]=>[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]
[9,1,2,3,6,4,5,7,8]=>[1,9,8,7,5,6,4,3,2]=>[9,8,7,5,6,4,3,2,1]=>[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]
[4,1,2,5,6,7,8,9,3]=>[1,4,5,6,7,8,9,3,2]=>[9,8,2,3,4,5,6,7,1]=>[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]
[3,1,9,2,4,5,6,7,8]=>[1,3,9,8,7,6,5,4,2]=>[9,2,8,7,6,5,4,3,1]=>[[[.,.],[[[[[[.,.],.],.],.],.],.]],.]
[9,1,4,5,6,7,8,2,3]=>[1,9,3,4,5,6,7,8,2]=>[9,3,4,5,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,1,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,2]=>[9,2,3,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,9,1,3,4,5,6,7,8]=>[1,2,9,8,7,6,5,4,3]=>[2,9,8,7,6,5,4,3,1]=>[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]
[2,9,1,5,6,7,8,3,4]=>[1,2,9,4,5,6,7,8,3]=>[2,9,4,5,6,7,8,3,1]=>[[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]],.]
[2,4,1,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,9,3]=>[2,9,3,4,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[9,3,1,2,4,5,6,7,8]=>[1,9,8,7,6,5,4,2,3]=>[8,9,7,6,5,4,3,2,1]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]
[9,4,1,2,3,5,6,7,8]=>[1,9,8,7,6,5,3,2,4]=>[8,7,9,6,5,4,3,2,1]=>[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]
[4,3,1,5,6,7,8,9,2]=>[1,4,5,6,7,8,9,2,3]=>[8,9,2,3,4,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,9,1,4,5,6,7,8]=>[1,2,3,9,8,7,6,5,4]=>[2,3,9,8,7,6,5,4,1]=>[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.]
[2,3,9,1,6,7,8,4,5]=>[1,2,3,9,5,6,7,8,4]=>[2,3,9,5,6,7,8,4,1]=>[[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]],.]
[2,3,5,1,6,7,8,9,4]=>[1,2,3,5,6,7,8,9,4]=>[2,3,9,4,5,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]],.]
[2,3,4,9,1,7,8,5,6]=>[1,2,3,4,9,6,7,8,5]=>[2,3,4,9,6,7,8,5,1]=>[[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]],.]
[2,3,4,6,1,7,8,9,5]=>[1,2,3,4,6,7,8,9,5]=>[2,3,4,9,5,6,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[2,3,9,6,1,7,8,4,5]=>[1,2,3,9,5,4,6,7,8]=>[2,3,6,5,7,8,9,4,1]=>[[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]],.]
[6,3,4,5,1,7,8,9,2]=>[1,6,7,8,9,2,3,4,5]=>[6,7,8,9,2,3,4,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],.]
[2,3,4,5,9,1,8,6,7]=>[1,2,3,4,5,9,7,8,6]=>[2,3,4,5,9,7,8,6,1]=>[[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]],.]
[2,3,4,5,7,1,8,9,6]=>[1,2,3,4,5,7,8,9,6]=>[2,3,4,5,9,6,7,8,1]=>[[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.]
[2,3,4,5,6,9,1,7,8]=>[1,2,3,4,5,6,9,8,7]=>[2,3,4,5,6,9,8,7,1]=>[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]
[2,3,4,5,6,8,1,9,7]=>[1,2,3,4,5,6,8,9,7]=>[2,3,4,5,6,9,7,8,1]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[2,3,4,5,9,8,1,6,7]=>[1,2,3,4,5,9,7,6,8]=>[2,3,4,5,8,7,9,6,1]=>[[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]],.]
[9,3,4,5,6,7,1,2,8]=>[1,9,8,2,3,4,5,6,7]=>[4,5,6,7,8,9,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]
[8,3,4,5,6,7,1,9,2]=>[1,8,9,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,3,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[2,3,4,5,6,7,9,1,8]=>[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[2,3,4,5,6,9,8,1,7]=>[1,2,3,4,5,6,9,7,8]=>[2,3,4,5,6,8,9,7,1]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[9,3,4,5,6,7,8,1,2]=>[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[]=>[]=>[]=>.
[3,5,2,6,1,4,8,7]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[3,5,2,6,4,1,8,7]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[3,5,2,7,4,8,1,6]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,5,2,7,4,8,6,1]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,5,7,2,3,8,6,1]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,5,7,2,3,8,1,6]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,5,6,2,3,1,8,7]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,5,6,2,1,3,8,7]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,5,1,6,4,2,8,7]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[4,5,6,1,3,2,8,7]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,5,6,3,1,2,8,7]=>[1,4,3,6,2,5,7,8]=>[5,3,2,6,4,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[4,5,7,3,2,8,1,6]=>[1,4,3,7,2,5,6,8]=>[5,3,2,6,7,4,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[4,5,7,3,2,8,6,1]=>[1,4,3,7,6,8,2,5]=>[7,3,2,8,5,4,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[4,6,7,3,8,2,5,1]=>[1,4,3,7,5,8,2,6]=>[7,3,2,5,8,4,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[4,6,7,3,8,2,1,5]=>[1,4,3,7,2,6,5,8]=>[5,3,2,7,6,4,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[4,6,7,3,8,1,2,5]=>[1,4,3,7,2,6,5,8]=>[5,3,2,7,6,4,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[4,5,7,3,1,8,2,6]=>[1,4,3,7,2,5,6,8]=>[5,3,2,6,7,4,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[4,5,7,1,3,8,2,6]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,5,1,7,4,8,2,6]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,1,5,7,4,8,3,6]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,1,5,7,4,8,6,3]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[3,5,1,7,4,8,6,2]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,5,7,1,3,8,6,2]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,5,7,3,1,8,6,2]=>[1,4,3,7,6,8,2,5]=>[7,3,2,8,5,4,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[4,6,7,3,8,1,5,2]=>[1,4,3,7,5,8,2,6]=>[7,3,2,5,8,4,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[4,6,7,3,8,5,1,2]=>[1,4,3,7,2,6,5,8]=>[5,3,2,7,6,4,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[4,6,7,3,8,5,2,1]=>[1,4,3,7,2,6,5,8]=>[5,3,2,7,6,4,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[5,6,7,8,3,1,4,2]=>[1,5,3,7,4,8,2,6]=>[7,3,5,2,8,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,6,7,8,1,3,4,2]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,6,7,1,8,3,5,2]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,1,7,8,4,5,2]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,1,6,7,8,4,5,3]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,1,6,7,8,4,3,5]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,6,1,7,8,4,2,5]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,6,7,1,8,3,2,5]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,7,8,1,3,2,4]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,5,7,2,1,8,3,6]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,6,7,2,8,1,3,5]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,6,7,2,8,3,1,5]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,6,7,2,8,3,5,1]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,2,7,8,4,5,1]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,6,2,7,8,4,1,5]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,6,2,7,8,1,4,5]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,5,2,7,1,8,4,6]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,4,2,1,7,8,5,6]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[3,4,1,2,7,8,6,5]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[3,5,2,7,1,8,6,4]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,6,2,7,8,1,5,4]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,6,2,7,8,5,1,4]=>[1,3,2,6,5,8,4,7]=>[3,2,7,5,4,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,6,2,7,8,5,4,1]=>[1,3,2,6,5,8,4,7]=>[3,2,7,5,4,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,6,7,2,8,5,3,1]=>[1,4,2,6,5,8,3,7]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,6,7,2,8,5,1,3]=>[1,4,2,6,5,8,3,7]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,6,7,2,8,1,5,3]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,5,7,2,1,8,6,3]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,5,7,1,2,8,6,3]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,5,1,7,2,8,6,4]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,1,5,7,3,8,6,4]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,1,6,7,8,3,5,4]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,6,1,7,8,2,5,4]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,6,7,1,8,2,5,3]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,7,8,1,2,4,3]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,6,7,8,2,1,4,3]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,6,7,8,2,4,1,3]=>[1,5,2,6,4,8,3,7]=>[3,7,5,2,4,8,6,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,7,8,2,4,3,1]=>[1,5,2,6,4,8,3,7]=>[3,7,5,2,4,8,6,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,7,8,1,4,2,3]=>[1,5,2,6,4,8,3,7]=>[3,7,5,2,4,8,6,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[4,6,7,1,8,5,2,3]=>[1,4,2,6,5,8,3,7]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,6,1,7,8,5,2,4]=>[1,3,2,6,5,8,4,7]=>[3,2,7,5,4,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,1,6,7,8,5,3,4]=>[1,2,3,6,5,8,4,7]=>[2,3,7,5,4,8,6,1]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[3,6,1,7,8,5,4,2]=>[1,3,2,6,5,8,4,7]=>[3,2,7,5,4,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,6,7,1,8,5,3,2]=>[1,4,2,6,5,8,3,7]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,6,7,8,1,4,3,2]=>[1,5,2,6,4,8,3,7]=>[3,7,5,2,4,8,6,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,7,8,4,1,3,2]=>[1,5,4,8,2,6,3,7]=>[5,7,3,2,6,8,4,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[3,4,2,1,6,5,8,7,10,9]=>[1,3,2,4,5,6,7,8,9,10]=>[3,2,4,5,6,7,8,9,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[3,5,2,7,4,9,6,10,8,1]=>[1,3,2,5,4,7,6,9,8,10]=>[3,2,5,4,7,6,9,8,10,1]=>[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]
[2,6,7,4,5,1,8,3]=>[1,2,6,3,7,8,4,5]=>[2,4,7,8,3,5,6,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,6,7,4,5,2,3,8]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,5,4,7,6,2,3,8]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,5,4,7,6,1,8,3]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,5,4,7,6,8,1,2]=>[1,3,4,7,2,5,6,8]=>[5,2,3,6,7,4,8,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[4,5,3,7,8,6,1,2]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,3,4,8,6,7,1,2]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,5,6,8,7,1,2]=>[1,4,6,7,2,3,5,8]=>[5,6,2,7,3,4,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,2,8,4,5,1,7,3]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,8,1,4,5,2,3,6]=>[1,7,3,2,8,6,4,5]=>[4,3,7,8,6,2,5,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[4,1,3,2,8,6,5,7]=>[1,4,2,3,5,8,7,6]=>[3,4,2,5,8,7,6,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[6,1,8,3,2,5,4,7]=>[1,6,5,2,3,8,7,4]=>[4,5,8,3,2,7,6,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[6,2,8,3,1,5,7,4]=>[1,6,5,2,3,8,4,7]=>[4,5,7,3,2,8,6,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[5,2,3,8,1,6,7,4]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,8,3,2,1,6,5,4]=>[1,7,5,2,8,4,3,6]=>[4,7,6,3,8,2,5,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,8,4,2,6,1,5,3]=>[1,7,5,6,2,8,3,4]=>[5,7,8,3,4,2,6,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[4,5,2,7,8,1,6,3]=>[1,4,7,6,2,5,8,3]=>[5,8,2,6,4,3,7,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,5,3,7,1,6,8,4]=>[1,2,5,3,4,7,8,6]=>[2,4,5,3,8,6,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,6,7,2,1,8,5,4]=>[1,3,7,5,2,6,8,4]=>[5,2,8,4,6,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[7,8,5,6,2,1,4,3]=>[1,7,4,6,2,8,3,5]=>[5,7,3,8,4,2,6,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,5,8,7,1,2,3,4]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,4,1,8,7,2,3,6]=>[1,5,7,3,2,4,8,6]=>[5,4,6,2,8,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,4,8,1,7,2,3,5]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,3,1,8,2,7,4,6]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,1,2,8,7,5,6]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,2,1,3,8,5,7,6]=>[1,4,3,2,5,8,6,7]=>[4,3,2,5,7,8,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[6,2,8,1,3,4,7,5]=>[1,6,4,2,3,8,5,7]=>[4,5,3,7,2,8,6,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,8,2,1,3,4,6,5]=>[1,7,6,4,2,8,5,3]=>[5,8,4,7,3,2,6,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[4,3,1,2,6,5,8,7]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,3,1,6,2,4,8,7]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,3,1,5,2,8,4,6]=>[1,7,4,5,2,3,6,8]=>[5,6,3,4,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[8,4,5,1,2,7,3,6]=>[1,8,6,7,3,5,2,4]=>[7,5,8,6,3,4,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[7,4,5,1,2,8,3,6]=>[1,7,3,5,2,4,6,8]=>[5,3,6,4,7,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[5,4,6,1,2,3,8,7]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[2,1,6,5,3,4,8,7]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,6,1,5,2,4,8,7]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,6,5,1,2,3,8,7]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,4,1,2,3,8,7]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,6,4,1,7,2,3,5]=>[1,8,5,7,3,4,2,6]=>[7,5,6,3,8,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[6,7,4,1,8,2,3,5]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,7,4,1,2,8,3,6]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,5,1,2,8,3,6]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,5,2,8,4,6]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,7,5,3,8,4,6]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,8,5,1,2,7,3,6]=>[1,4,2,8,6,7,3,5]=>[3,7,2,8,5,6,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[6,8,4,1,7,2,3,5]=>[1,6,2,8,5,7,3,4]=>[3,7,8,5,2,6,4,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[8,7,4,1,6,2,3,5]=>[1,8,5,6,2,7,3,4]=>[5,7,8,3,4,6,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[4,8,6,1,7,2,3,5]=>[1,4,2,8,5,7,3,6]=>[3,7,2,5,8,6,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[3,8,1,6,7,2,4,5]=>[1,3,2,8,5,7,4,6]=>[3,2,7,5,8,6,4,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[2,1,7,6,8,3,4,5]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[3,7,1,6,8,2,4,5]=>[1,3,2,7,4,6,5,8]=>[3,2,5,7,6,4,8,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[4,7,6,1,8,2,3,5]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,7,6,8,1,2,3,4]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,7,1,2,8,3,6]=>[1,5,2,4,3,7,6,8]=>[3,5,4,2,7,6,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,4,7,1,8,2,3,5]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,4,6,1,8,2,3,5]=>[1,7,3,6,2,4,5,8]=>[5,3,6,7,4,2,8,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[8,4,6,1,7,2,3,5]=>[1,8,5,7,3,6,2,4]=>[7,5,8,3,6,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[8,3,1,6,7,2,4,5]=>[1,8,5,7,4,6,2,3]=>[7,8,5,3,6,4,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[6,3,1,7,8,2,4,5]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,1,7,2,8,4,6]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,1,2,7,8,5,6]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,1,4,3,8,7,5,6]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[3,4,1,2,8,7,5,6]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[6,3,1,8,7,2,4,5]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,4,8,1,6,2,3,5]=>[1,7,3,8,5,6,2,4]=>[7,3,8,5,6,2,4,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[5,4,8,1,2,7,3,6]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,5,8,1,2,7,3,6]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,1,8,2,7,4,6]=>[1,3,2,5,4,8,6,7]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[2,1,5,8,3,7,4,6]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,1,6,8,7,3,4,5]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[3,6,1,8,7,2,4,5]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,6,8,1,7,2,3,5]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,6,8,7,1,2,3,4]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,5,8,6,1,2,3,4]=>[1,7,3,8,4,6,2,5]=>[7,3,5,8,6,2,4,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[8,5,7,6,1,2,3,4]=>[1,8,4,6,2,5,3,7]=>[5,7,3,6,4,8,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[5,7,8,6,1,2,3,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,8,1,6,2,3,5]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,8,6,2,4,5]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,7,8,6,3,4,5]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[2,1,8,7,6,3,4,5]=>[1,2,3,8,5,6,4,7]=>[2,3,7,5,6,8,4,1]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[3,8,1,7,6,2,4,5]=>[1,3,2,8,5,6,4,7]=>[3,2,7,5,6,8,4,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[5,8,7,6,1,2,3,4]=>[1,5,2,8,4,6,3,7]=>[3,7,5,2,6,8,4,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,4,7,3,5,8,1,2]=>[1,6,8,2,4,3,7,5]=>[4,6,5,8,2,7,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,4,3,7,6,8,1,2]=>[1,5,6,8,2,4,7,3]=>[5,8,6,2,3,7,4,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[6,4,8,3,5,7,1,2]=>[1,6,7,2,4,3,8,5]=>[4,6,5,8,2,3,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,4,3,8,6,7,1,2]=>[1,5,6,7,2,4,8,3]=>[5,8,6,2,3,4,7,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[5,4,3,6,8,7,1,2]=>[1,5,8,2,4,6,7,3]=>[4,8,5,2,6,7,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,4,2,6,7,1,8,3]=>[1,5,7,8,3,2,4,6]=>[6,5,7,2,8,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,4,2,6,7,1,3,8]=>[1,5,7,3,2,4,6,8]=>[5,4,6,2,7,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,3,2,6,1,7,4,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,2,6,1,7,8,4]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,4,2,6,8,1,7,3]=>[1,5,8,3,2,4,6,7]=>[5,4,6,2,7,8,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,4,2,8,6,1,7,3]=>[1,5,6,2,4,8,3,7]=>[4,7,5,2,3,8,6,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[6,4,8,2,5,1,7,3]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,8,4,2,5,1,3,6]=>[1,7,3,4,2,8,6,5]=>[5,3,4,8,7,2,6,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[4,3,2,1,6,8,5,7]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,3,2,1,8,6,5,7]=>[1,4,2,3,5,8,7,6]=>[3,4,2,5,8,7,6,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[6,3,8,2,1,5,4,7]=>[1,6,5,2,3,8,7,4]=>[4,5,8,3,2,7,6,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[7,8,3,2,1,5,4,6]=>[1,7,4,2,8,6,5,3]=>[4,8,3,7,6,2,5,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,3,8,2,1,5,7,4]=>[1,6,5,2,3,8,4,7]=>[4,5,7,3,2,8,6,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[5,3,2,8,1,6,7,4]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,2,7,8,1,6,3]=>[1,5,8,3,2,4,7,6]=>[5,4,6,2,8,7,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,3,2,7,1,8,6,4]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,7,1,6,4,8]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,7,2,1,8,5,4]=>[1,6,8,4,2,3,7,5]=>[5,6,4,8,2,7,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,4,7,2,8,1,5,3]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,5,7,8,2,1,4,3]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,5,8,7,2,1,3,4]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,3,7,2,1,8,4,5]=>[1,6,8,5,2,3,7,4]=>[5,6,8,4,2,7,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[5,4,2,8,7,1,3,6]=>[1,5,7,3,2,4,8,6]=>[5,4,6,2,8,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,3,2,8,1,7,4,6]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,2,1,8,7,5,6]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,3,2,1,7,5,8,6]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,2,1,7,5,6,8]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,2,1,8,5,7,6]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,2,8,1,4,7,6]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,3,8,2,1,4,7,5]=>[1,6,4,2,3,8,5,7]=>[4,5,3,7,2,8,6,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,8,3,2,1,4,6,5]=>[1,7,6,4,2,8,5,3]=>[5,8,4,7,3,2,6,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[6,3,8,2,1,4,5,7]=>[1,6,4,2,3,8,7,5]=>[4,5,3,8,2,7,6,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[4,3,2,1,8,5,6,7]=>[1,4,2,3,5,8,7,6]=>[3,4,2,5,8,7,6,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[4,3,2,1,5,8,6,7]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[7,8,5,6,1,2,4,3]=>[1,7,4,6,2,8,3,5]=>[5,7,3,8,4,2,6,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,8,4,1,6,2,5,3]=>[1,7,5,6,2,8,3,4]=>[5,7,8,3,4,2,6,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,8,1,4,6,2,5,3]=>[1,7,5,6,2,8,3,4]=>[5,7,8,3,4,2,6,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[6,1,8,4,7,2,5,3]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,6,8,4,7,2,5,3]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,8,1,3,2,6,5,4]=>[1,7,5,2,8,4,3,6]=>[4,7,6,3,8,2,5,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,8,3,1,2,6,5,4]=>[1,7,5,2,8,4,3,6]=>[4,7,6,3,8,2,5,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,8,3,4,6,5,1,2]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,2,4,6,1,5,3]=>[1,7,5,6,2,8,3,4]=>[5,7,8,3,4,2,6,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,8,2,3,1,6,5,4]=>[1,7,5,2,8,4,3,6]=>[4,7,6,3,8,2,5,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,8,2,1,3,6,5,4]=>[1,7,5,3,2,8,4,6]=>[5,4,7,3,8,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[7,8,1,2,3,6,5,4]=>[1,7,5,3,2,8,4,6]=>[5,4,7,3,8,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,5,2,8,3,7,6,4]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,2,8,4,7,1,5,3]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,6,8,4,7,5,1,2]=>[1,3,8,2,6,5,7,4]=>[4,2,8,6,5,7,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[2,6,8,4,7,1,5,3]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,5,1,8,3,7,6,4]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,2,5,8,3,7,6,4]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,5,3,8,1,7,6,4]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,2,3,8,1,7,6,4]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,2,1,3,8,7,6,5]=>[1,4,3,2,5,8,6,7]=>[4,3,2,5,7,8,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[4,1,2,3,8,7,6,5]=>[1,4,3,2,5,8,6,7]=>[4,3,2,5,7,8,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[4,1,3,2,8,7,6,5]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,3,1,2,8,7,6,5]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,3,1,8,2,7,6,4]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,1,3,8,2,7,6,4]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,5,3,8,2,7,6,4]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,4,8,1,7,2,5,3]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,5,8,7,1,2,4,3]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,6,8,7,3,4,1,2]=>[1,5,3,8,2,6,4,7]=>[5,3,7,2,6,8,4,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,6,8,7,2,1,4,3]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,5,1,8,7,2,6,3]=>[1,4,8,3,2,5,7,6]=>[5,4,2,6,8,7,3,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[4,1,5,8,7,2,6,3]=>[1,4,8,3,5,7,6,2]=>[8,4,2,5,7,6,3,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[1,4,5,8,7,2,6,3]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[1,3,5,8,2,7,6,4]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[3,1,5,8,2,7,6,4]=>[1,3,5,2,4,8,6,7]=>[4,2,5,3,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[3,6,8,1,2,7,5,4]=>[1,3,8,4,2,6,7,5]=>[5,2,4,8,6,7,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[3,6,8,2,1,7,5,4]=>[1,3,8,4,2,6,7,5]=>[5,2,4,8,6,7,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,6,8,2,7,1,5,3]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,6,8,3,7,5,1,2]=>[1,4,3,8,2,6,5,7]=>[5,3,2,7,6,8,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[4,5,3,8,7,6,1,2]=>[1,4,8,2,5,7,3,6]=>[4,7,2,5,8,6,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[4,5,2,8,7,1,6,3]=>[1,4,8,3,2,5,7,6]=>[5,4,2,6,8,7,3,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[3,5,2,8,1,7,6,4]=>[1,3,2,5,4,8,6,7]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[3,1,2,4,8,7,6,5]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[3,2,5,8,1,7,6,4]=>[1,3,5,2,4,8,6,7]=>[4,2,5,3,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[4,2,5,8,7,1,6,3]=>[1,4,8,3,5,7,6,2]=>[8,4,2,5,7,6,3,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[2,4,5,8,7,1,6,3]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[2,3,5,8,1,7,6,4]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[4,1,3,2,6,5,8,7]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,1,3,2,5,4,8,6]=>[1,7,8,6,4,2,3,5]=>[6,7,5,8,4,2,3,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[8,1,4,2,5,3,7,6]=>[1,8,6,3,4,2,5,7]=>[6,4,5,7,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[7,1,4,2,5,3,8,6]=>[1,7,8,6,3,4,2,5]=>[7,5,6,8,4,2,3,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[5,1,4,2,6,3,8,7]=>[1,5,6,3,4,2,7,8]=>[6,4,5,2,3,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,3,5,4,8,7]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,1,6,2,5,3,8,7]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,2,5,1,4,3,8,7]=>[1,6,3,5,4,2,7,8]=>[6,3,5,4,2,7,8,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,2,6,1,4,3,8,7]=>[1,5,4,2,3,6,7,8]=>[4,5,3,2,6,7,8,1]=>[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]
[5,2,7,1,4,3,8,6]=>[1,5,4,2,3,7,8,6]=>[4,5,3,2,8,6,7,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[6,2,8,1,4,3,7,5]=>[1,6,3,8,5,4,2,7]=>[7,3,6,5,2,8,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,2,7,1,4,3,8,5]=>[1,6,3,7,8,5,4,2]=>[8,3,7,6,2,4,5,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[7,2,5,1,4,3,8,6]=>[1,7,8,6,3,5,4,2]=>[8,5,7,6,4,2,3,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[3,1,8,2,5,4,7,6]=>[1,3,8,6,4,2,5,7]=>[6,2,5,7,4,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[7,1,4,3,8,2,6,5]=>[1,7,6,2,3,4,5,8]=>[4,5,6,7,3,2,8,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[8,1,4,3,7,2,6,5]=>[1,8,5,7,6,2,3,4]=>[6,7,8,3,5,4,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[8,1,5,3,7,2,6,4]=>[1,8,4,3,5,7,6,2]=>[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[7,1,5,3,8,2,6,4]=>[1,7,6,2,3,5,8,4]=>[4,5,8,6,3,2,7,1]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]
[5,1,8,2,6,3,7,4]=>[1,5,6,3,8,4,2,7]=>[7,4,6,2,3,8,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[2,1,8,3,6,4,7,5]=>[1,2,3,8,5,6,4,7]=>[2,3,7,5,6,8,4,1]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[5,1,7,2,6,3,8,4]=>[1,5,6,3,7,8,4,2]=>[8,4,7,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[6,2,8,1,5,3,7,4]=>[1,6,3,8,4,2,5,7]=>[6,3,5,7,2,8,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[6,1,5,2,7,3,8,4]=>[1,6,3,5,7,8,4,2]=>[8,3,7,4,2,5,6,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[4,1,3,2,7,5,8,6]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,1,4,3,8,5,7,6]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[4,1,3,2,8,5,7,6]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,1,3,2,8,4,7,6]=>[1,5,8,6,4,2,3,7]=>[6,7,5,2,4,8,3,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[6,1,3,2,8,4,7,5]=>[1,6,4,2,3,5,8,7]=>[4,5,3,6,2,8,7,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[8,4,7,1,3,2,6,5]=>[1,8,5,3,7,6,2,4]=>[7,4,8,3,6,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[7,4,8,1,3,2,6,5]=>[1,7,6,2,4,3,8,5]=>[4,6,5,8,3,2,7,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[8,3,7,1,4,2,6,5]=>[1,8,5,4,2,3,7,6]=>[5,6,4,3,8,7,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[6,1,4,2,8,3,7,5]=>[1,6,3,4,2,5,8,7]=>[5,3,4,6,2,8,7,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[4,1,5,2,8,3,7,6]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[2,1,6,3,8,4,7,5]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[4,1,6,2,8,3,7,5]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,1,6,2,8,3,7,4]=>[1,5,8,4,2,3,6,7]=>[5,6,4,2,7,8,3,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[6,1,5,2,8,3,7,4]=>[1,6,3,5,8,4,2,7]=>[7,3,6,4,2,8,5,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,2,8,3,7,1,5,4]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,3,7,2,6,1,5,4]=>[1,8,4,2,3,7,5,6]=>[4,5,3,7,8,6,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[4,1,8,3,7,2,6,5]=>[1,4,3,8,5,7,6,2]=>[8,3,2,5,7,6,4,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[2,1,8,4,7,3,6,5]=>[1,2,3,8,5,7,6,4]=>[2,3,8,5,7,6,4,1]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[3,1,7,4,8,2,6,5]=>[1,3,7,6,2,4,5,8]=>[5,2,6,7,4,3,8,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[4,1,7,3,8,2,6,5]=>[1,4,3,7,6,2,5,8]=>[6,3,2,7,5,4,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[5,1,7,3,8,2,6,4]=>[1,5,8,4,3,7,6,2]=>[8,5,4,2,7,6,3,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[7,3,8,2,6,1,5,4]=>[1,7,5,6,2,3,8,4]=>[5,6,8,3,4,2,7,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[8,2,6,3,7,1,5,4]=>[1,8,4,3,6,2,5,7]=>[6,4,3,7,5,8,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[7,2,6,3,8,1,5,4]=>[1,7,5,8,4,3,6,2]=>[8,6,5,3,7,2,4,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[3,4,2,6,8,1,5,7]=>[1,3,2,4,6,5,8,7]=>[3,2,4,6,5,8,7,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[5,7,3,8,2,4,6,1]=>[1,5,2,7,6,4,8,3]=>[3,8,6,2,5,4,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[7,4,2,5,8,3,1,6]=>[1,7,2,4,5,8,6,3]=>[3,8,4,5,7,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,5,2,6,3,8,1,7]=>[1,4,6,8,7,2,5,3]=>[6,8,2,7,3,5,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,1,6,8,2,4,7]=>[1,5,8,7,4,6,2,3]=>[7,8,5,2,6,4,3,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[5,6,2,8,1,3,4,7]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,5,6,1,4,8,2,7]=>[1,3,6,8,7,2,5,4]=>[6,2,8,7,3,5,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,1,5,6,3,8,2,7]=>[1,4,6,8,7,2,3,5]=>[6,7,2,8,3,5,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,5,1,6,3,8,2,7]=>[1,4,6,8,7,2,5,3]=>[6,8,2,7,3,5,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,4,5,3,8,2,1,6]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,4,5,3,8,2,6,1]=>[1,7,6,2,4,3,5,8]=>[4,6,5,7,3,2,8,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[6,7,4,8,3,2,5,1]=>[1,6,2,7,5,3,4,8]=>[3,6,7,5,2,4,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,4,5,3,1,8,2,6]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,7,1,5,8,3,2,6]=>[1,4,5,8,6,3,2,7]=>[7,6,2,3,5,8,4,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[5,3,7,8,1,4,2,6]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,3,5,8,1,4,6,2]=>[1,7,6,4,8,2,3,5]=>[6,7,4,8,3,2,5,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[4,5,1,7,8,3,6,2]=>[1,4,7,6,3,2,5,8]=>[6,5,2,7,4,3,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[6,7,4,8,3,1,5,2]=>[1,6,2,7,5,3,4,8]=>[3,6,7,5,2,4,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,7,4,8,3,5,2,1]=>[1,6,5,3,4,8,2,7]=>[7,4,5,3,2,8,6,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[5,6,7,3,1,8,4,2]=>[1,5,2,6,8,3,7,4]=>[3,6,8,2,4,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,1,7,3,8,4,2]=>[1,5,3,2,6,8,4,7]=>[4,3,7,2,5,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[5,1,6,7,3,8,4,2]=>[1,5,3,6,8,2,4,7]=>[6,3,7,2,4,8,5,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[6,4,7,1,8,3,5,2]=>[1,6,3,7,5,8,2,4]=>[7,3,8,5,2,4,6,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[6,7,8,3,1,4,5,2]=>[1,6,4,3,8,2,7,5]=>[6,4,3,8,2,7,5,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[6,1,7,4,8,3,2,5]=>[1,6,3,7,2,4,5,8]=>[5,3,6,7,2,4,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,1,6,7,3,2,8,4]=>[1,5,3,6,2,4,7,8]=>[5,3,6,2,4,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,6,1,7,3,2,8,4]=>[1,5,3,2,6,4,7,8]=>[4,3,6,2,5,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,6,7,3,2,1,8,4]=>[1,5,2,6,3,7,8,4]=>[3,5,8,2,4,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,6,7,3,2,8,4,1]=>[1,5,2,6,8,3,7,4]=>[3,6,8,2,4,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,2,7,3,8,4,1]=>[1,5,3,2,6,8,4,7]=>[4,3,7,2,5,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[5,6,2,7,3,1,8,4]=>[1,5,3,2,6,4,7,8]=>[4,3,6,2,5,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,6,2,1,7,3,8,4]=>[1,5,7,8,4,2,6,3]=>[6,8,5,2,7,3,4,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[6,1,7,4,2,8,3,5]=>[1,6,8,5,2,3,7,4]=>[5,6,8,4,2,7,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[7,5,8,2,1,3,4,6]=>[1,7,4,2,5,3,8,6]=>[4,6,3,5,8,2,7,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[4,7,1,5,2,8,3,6]=>[1,4,5,2,7,3,6,8]=>[4,6,2,3,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,7,4,2,1,8,3,5]=>[1,6,8,5,2,7,3,4]=>[5,7,8,4,2,6,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[3,6,7,2,8,4,5,1]=>[1,3,7,5,8,2,6,4]=>[6,2,8,4,7,3,5,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,4,7,8,2,1,5,6]=>[1,3,7,5,2,4,8,6]=>[5,2,6,4,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,4,7,8,2,5,3,1]=>[1,6,5,2,4,8,3,7]=>[4,7,5,3,2,8,6,1]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[6,4,7,8,2,1,5,3]=>[1,6,2,4,8,3,7,5]=>[3,6,4,8,2,7,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,1,5,7,8,2,6,3]=>[1,4,7,6,2,3,5,8]=>[5,6,2,7,4,3,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,3,7,8,1,6,2,4]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,1,6,2,7,8,4,3]=>[1,5,7,4,2,3,6,8]=>[5,6,4,2,7,3,8,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,6,7,2,1,8,4,3]=>[1,5,2,6,8,3,7,4]=>[3,6,8,2,4,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,1,6,7,2,8,4,3]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,4,7,1,8,2,5,3]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,7,8,5,2,4,1,3]=>[1,6,4,5,2,7,3,8]=>[5,7,3,4,2,6,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,7,8,3,5,1,4,2]=>[1,6,2,7,4,3,8,5]=>[3,6,5,8,2,4,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[4,6,7,8,1,5,3,2]=>[1,4,8,2,6,5,3,7]=>[4,7,2,6,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[8,6,1,3,4,2,5,7]=>[1,8,7,5,4,3,2,6]=>[7,6,5,4,8,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[8,3,2,5,1,6,4,7]=>[1,8,7,4,5,2,3,6]=>[6,7,4,5,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,5,3,6,2,4,1,7]=>[1,8,7,2,5,3,4,6]=>[4,6,7,5,8,3,2,1]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[7,5,3,8,2,4,6,1]=>[1,7,6,4,8,2,5,3]=>[6,8,4,7,3,2,5,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[2,4,5,3,7,1,8,6]=>[1,2,4,3,5,7,8,6]=>[2,4,3,5,8,6,7,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[8,2,4,5,6,3,1,7]=>[1,8,7,2,3,4,5,6]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[8,2,4,5,6,1,3,7]=>[1,8,7,3,4,5,6,2]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[8,1,2,4,5,6,3,7]=>[1,8,7,3,2,4,5,6]=>[5,4,6,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[8,2,5,1,3,6,4,7]=>[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,5,6,2,1,4,3,7]=>[1,8,7,3,6,4,2,5]=>[7,4,6,8,5,3,2,1]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]
[8,1,4,5,6,3,2,7]=>[1,8,7,2,3,4,5,6]=>[4,5,6,7,8,3,2,1]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[7,4,5,8,3,2,6,1]=>[1,7,6,2,4,8,3,5]=>[4,7,5,8,3,2,6,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[4,3,6,7,2,8,5,1]=>[1,4,7,5,2,3,6,8]=>[5,6,2,4,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,4,3,6,7,2,8,5]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,5,3,7,1,8,2,6]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,3,8,4,1,6,2]=>[1,7,6,2,5,4,8,3]=>[4,8,6,5,3,2,7,1]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[7,4,5,8,3,6,1,2]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,6,4,7,8,3,5,2]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,4,7,8,3,5,2,1]=>[1,6,5,3,7,2,4,8]=>[6,4,7,3,2,5,8,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[4,6,1,7,8,3,5,2]=>[1,4,7,5,8,2,6,3]=>[6,8,2,4,7,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,5,3,6,7,8,2,4]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,5,6,7,8,2,1,4]=>[1,3,6,2,5,8,4,7]=>[4,2,7,5,3,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,5,6,7,8,2,4,1]=>[1,3,6,2,5,8,4,7]=>[4,2,7,5,3,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[5,3,1,7,8,2,4,6]=>[1,5,8,6,2,3,4,7]=>[5,6,7,2,4,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,2,7,8,1,3,6]=>[1,4,7,3,2,5,8,6]=>[5,4,2,6,8,3,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[3,6,2,7,4,8,5,1]=>[1,3,2,6,8,4,7,5]=>[3,2,6,8,4,7,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[3,2,1,6,4,7,8,5]=>[1,3,2,4,6,7,8,5]=>[3,2,4,8,5,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[7,8,4,2,1,3,6,5]=>[1,7,6,3,4,2,8,5]=>[6,4,5,8,3,2,7,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[7,8,1,3,4,2,6,5]=>[1,7,6,2,8,5,4,3]=>[4,8,7,6,3,2,5,1]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[3,6,2,7,1,8,5,4]=>[1,3,2,6,8,4,7,5]=>[3,2,6,8,4,7,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,4,7,8,5,2,3,1]=>[1,6,2,4,8,3,7,5]=>[3,6,4,8,2,7,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,6,4,7,8,1,5,3]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[4,6,2,7,8,1,5,3]=>[1,4,7,5,8,3,2,6]=>[7,6,2,4,8,3,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[7,4,5,8,6,2,1,3]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,3,8,6,1,2,4]=>[1,7,2,5,6,3,4,8]=>[3,6,7,4,5,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,5,8,2,1,6,3,4]=>[1,7,3,8,4,2,5,6]=>[6,3,5,7,8,2,4,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[6,2,7,1,3,8,5,4]=>[1,6,8,4,2,3,7,5]=>[5,6,4,8,2,7,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,3,1,7,8,2,5,4]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,1,7,8,5,2,3]=>[1,4,7,2,6,5,8,3]=>[4,8,2,6,5,3,7,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,1,2,6,7,8,4,3]=>[1,5,7,4,6,8,3,2]=>[8,7,4,2,5,3,6,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[2,5,6,7,8,4,1,3]=>[1,2,5,8,3,6,4,7]=>[2,5,7,3,6,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,5,2,6,7,8,4,3]=>[1,2,5,7,4,6,8,3]=>[2,8,5,3,6,4,7,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[1,6,4,7,8,5,2,3]=>[1,2,6,5,8,3,4,7]=>[2,6,7,4,3,8,5,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[6,7,3,8,5,1,4,2]=>[1,6,2,7,4,8,3,5]=>[3,7,5,8,2,4,6,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,4,7,8,5,3,1,2]=>[1,6,3,7,2,4,8,5]=>[5,3,6,8,2,4,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,5,2,3,7,6,1,8]=>[1,4,3,2,5,7,6,8]=>[4,3,2,5,7,6,8,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[1,7,5,4,8,3,6,2]=>[1,2,7,6,3,5,8,4]=>[2,5,8,6,4,3,7,1]=>[[.,[[[.,[[.,.],.]],.],[.,.]]],.]
[8,7,5,4,1,3,2,6]=>[1,8,6,3,5,2,7,4]=>[6,4,8,5,3,7,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[6,8,5,4,2,1,3,7]=>[1,6,2,8,7,3,5,4]=>[3,6,8,7,2,5,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[5,8,6,2,4,1,3,7]=>[1,5,4,2,8,7,3,6]=>[4,7,3,2,8,6,5,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[4,8,2,6,5,1,3,7]=>[1,4,6,2,8,7,3,5]=>[4,7,2,8,3,6,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,1,5,4,2,8,7,3]=>[1,6,8,3,5,2,4,7]=>[6,4,7,5,2,8,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[7,1,5,4,8,2,6,3]=>[1,7,6,2,3,5,8,4]=>[4,5,8,6,3,2,7,1]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]
[8,1,5,4,7,6,2,3]=>[1,8,3,5,7,2,4,6]=>[6,3,7,4,8,5,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[8,1,6,7,4,5,2,3]=>[1,8,3,6,5,4,7,2]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[7,1,6,8,4,2,5,3]=>[1,7,5,4,8,3,6,2]=>[8,6,4,3,7,2,5,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[6,1,7,8,2,4,5,3]=>[1,6,4,8,3,7,5,2]=>[8,5,3,7,2,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[5,1,7,2,8,4,6,3]=>[1,5,8,3,7,6,4,2]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[4,1,2,7,8,5,6,3]=>[1,4,7,6,5,8,3,2]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[3,2,1,7,8,5,6,4]=>[1,3,2,4,7,6,5,8]=>[3,2,4,7,6,5,8,1]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[3,2,8,7,1,5,4,6]=>[1,3,8,6,5,2,4,7]=>[6,2,7,5,4,8,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[4,8,2,7,1,5,3,6]=>[1,4,7,3,2,8,6,5]=>[5,4,2,8,7,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[5,8,7,2,1,4,3,6]=>[1,5,2,8,6,4,3,7]=>[3,7,6,2,5,8,4,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[7,8,6,1,4,2,3,5]=>[1,7,3,6,2,8,5,4]=>[5,3,8,7,4,2,6,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[8,7,6,1,4,3,2,5]=>[1,8,5,4,2,7,3,6]=>[5,7,4,3,8,6,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[1,7,6,8,4,3,5,2]=>[1,2,7,5,4,8,3,6]=>[2,7,5,4,8,3,6,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[1,6,7,8,3,4,5,2]=>[1,2,6,4,8,3,7,5]=>[2,6,4,8,3,7,5,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[8,6,7,1,3,4,2,5]=>[1,8,5,3,7,2,6,4]=>[6,4,8,3,7,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[7,6,8,1,3,2,4,5]=>[1,7,4,2,6,3,8,5]=>[4,6,3,8,5,2,7,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[4,7,2,8,1,3,5,6]=>[1,4,8,6,3,2,7,5]=>[6,5,2,8,4,7,3,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[3,2,6,8,4,1,5,7]=>[1,3,6,2,4,8,7,5]=>[4,2,5,8,3,7,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,6,2,8,3,1,5,7]=>[1,4,8,7,5,3,2,6]=>[7,6,2,5,8,4,3,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[7,5,8,3,1,2,4,6]=>[1,7,4,3,8,6,2,5]=>[7,4,3,8,6,2,5,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[8,5,7,3,1,4,2,6]=>[1,8,6,4,3,7,2,5]=>[7,5,4,8,3,6,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[1,5,7,3,8,4,6,2]=>[1,2,5,8,3,7,6,4]=>[2,5,8,3,7,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[4,5,2,3,8,1,6,7]=>[1,4,3,2,5,8,7,6]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[4,5,2,3,1,8,7,6]=>[1,4,3,2,5,6,8,7]=>[4,3,2,5,6,8,7,1]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[7,4,3,1,8,2,6,5]=>[1,7,6,2,4,3,5,8]=>[4,6,5,7,3,2,8,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[1,5,8,3,7,6,4,2]=>[1,2,5,7,4,3,8,6]=>[2,6,5,3,8,4,7,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[8,5,1,3,7,6,2,4]=>[1,8,4,3,2,5,7,6]=>[5,4,3,6,8,7,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[6,5,1,3,2,8,7,4]=>[1,6,8,4,3,2,5,7]=>[6,5,4,7,2,8,3,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[5,6,1,2,3,8,7,4]=>[1,5,3,2,6,8,4,7]=>[4,3,7,2,5,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[3,2,7,1,8,4,6,5]=>[1,3,7,6,4,2,5,8]=>[6,2,5,7,4,3,8,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[4,7,2,1,8,3,6,5]=>[1,4,2,7,6,3,5,8]=>[3,6,2,7,5,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[7,6,1,8,3,2,5,4]=>[1,7,5,3,2,6,4,8]=>[5,4,7,3,6,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[8,6,1,7,3,5,2,4]=>[1,8,4,7,2,6,5,3]=>[5,8,3,7,6,4,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[1,7,8,6,5,3,4,2]=>[1,2,7,4,6,3,8,5]=>[2,6,4,8,5,3,7,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[8,7,1,6,5,3,2,4]=>[1,8,4,6,3,2,7,5]=>[6,5,3,8,4,7,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[7,8,1,6,5,2,3,4]=>[1,7,3,2,8,4,6,5]=>[4,3,6,8,7,2,5,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[5,8,1,2,7,6,3,4]=>[1,5,7,3,2,8,4,6]=>[5,4,7,2,8,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[4,8,2,1,7,6,3,5]=>[1,4,2,8,5,7,3,6]=>[3,7,2,5,8,6,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[4,1,2,8,7,6,5,3]=>[1,4,8,3,2,5,7,6]=>[5,4,2,6,8,7,3,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[5,1,8,2,7,6,4,3]=>[1,5,7,4,2,3,8,6]=>[5,6,4,2,8,3,7,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[6,1,8,7,2,5,4,3]=>[1,6,5,2,3,8,4,7]=>[4,5,7,3,2,8,6,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[7,1,8,6,5,2,4,3]=>[1,7,4,6,2,3,8,5]=>[5,6,3,8,4,2,7,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[3,1,2,6,5,8,7,4]=>[1,3,2,4,6,8,5,7]=>[3,2,4,7,5,8,6,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[1,6,5,3,4,8,7,2]=>[1,2,6,8,3,5,4,7]=>[2,5,7,6,3,8,4,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[6,1,5,2,4,8,7,3]=>[1,6,8,3,5,4,2,7]=>[7,4,6,5,2,8,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,5,1,2,3,8,7,4]=>[1,6,8,4,2,5,3,7]=>[5,7,4,6,2,8,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,4,1,2,3,8,7,5]=>[1,6,8,5,3,2,4,7]=>[6,5,7,4,2,8,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[5,4,1,2,7,3,6,8]=>[1,5,7,6,3,2,4,8]=>[6,5,7,2,4,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,4,1,7,2,3,5,8]=>[1,6,3,2,4,7,5,8]=>[4,3,5,7,2,6,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,7,5,3,8,4,6,2]=>[1,2,7,6,4,3,5,8]=>[2,6,5,7,4,3,8,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[1,8,5,3,7,4,6,2]=>[1,2,8,3,5,7,6,4]=>[2,4,8,5,7,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[8,1,5,2,7,4,6,3]=>[1,8,3,5,7,6,4,2]=>[8,3,7,4,6,5,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[8,4,1,2,7,3,6,5]=>[1,8,5,7,6,3,2,4]=>[7,6,8,3,5,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[1,8,6,7,3,4,5,2]=>[1,2,8,3,6,4,7,5]=>[2,4,6,8,5,7,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,7,6,8,3,4,5,2]=>[1,2,7,5,3,6,4,8]=>[2,5,7,4,6,3,8,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[7,1,6,8,2,4,5,3]=>[1,7,5,2,3,6,4,8]=>[4,5,7,3,6,2,8,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[4,7,1,2,8,3,6,5]=>[1,4,2,7,6,3,5,8]=>[3,6,2,7,5,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,1,7,2,8,4,6,5]=>[1,3,7,6,4,2,5,8]=>[6,2,5,7,4,3,8,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,1,2,7,8,5,6,4]=>[1,3,2,4,7,6,5,8]=>[3,2,4,7,6,5,8,1]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[1,4,3,8,7,5,6,2]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[4,1,2,8,7,5,6,3]=>[1,4,8,3,2,5,7,6]=>[5,4,2,6,8,7,3,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[3,1,8,2,7,4,6,5]=>[1,3,8,5,7,6,4,2]=>[8,2,7,4,6,5,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[3,1,7,6,2,4,5,8]=>[1,3,7,5,2,4,6,8]=>[5,2,6,4,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,8,1,7,2,3,5,6]=>[1,4,7,5,2,8,6,3]=>[5,8,2,4,7,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,1,2,7,3,6,4]=>[1,5,7,6,3,2,8,4]=>[6,5,8,2,4,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,1,8,7,2,4,5,3]=>[1,6,4,7,5,2,3,8]=>[6,7,3,5,2,4,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,8,7,1,2,3,4,5]=>[1,6,3,7,4,2,8,5]=>[6,3,5,8,2,4,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,8,7,1,2,3,4,6]=>[1,5,2,8,6,3,7,4]=>[3,6,8,2,5,7,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,1,8,6,2,4,5,3]=>[1,7,5,2,3,8,4,6]=>[4,5,7,3,8,2,6,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[1,7,8,6,3,4,5,2]=>[1,2,7,5,3,8,4,6]=>[2,5,7,4,8,3,6,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[8,7,1,6,2,3,5,4]=>[1,8,4,6,3,2,7,5]=>[6,5,3,8,4,7,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[3,2,5,4,7,1,8,6]=>[1,3,5,7,8,6,2,4]=>[7,2,8,3,6,4,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,2,5,1,6,3,8,7]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,3,5,1,6,2,8,7]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,3,5,2,7,1,8,6]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,6,2,7,5,8,1]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,3,6,2,7,1,8,5]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,3,6,1,7,2,8,5]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,3,5,1,7,2,8,6]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,1,5,4,7,2,8,6]=>[1,3,5,7,8,6,2,4]=>[7,2,8,3,6,4,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,1,5,4,7,3,8,6]=>[1,2,3,5,7,8,6,4]=>[2,3,8,4,7,5,6,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[3,1,5,4,7,6,8,2]=>[1,3,5,7,8,2,4,6]=>[6,2,7,3,8,4,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,3,5,1,7,6,8,2]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,6,1,7,5,8,2]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,3,6,5,7,1,8,2]=>[1,4,5,7,8,2,3,6]=>[6,7,2,3,8,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,1,6,4,7,5,8,2]=>[1,3,6,5,7,8,2,4]=>[7,2,8,4,3,5,6,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[2,1,6,4,7,5,8,3]=>[1,2,3,6,5,7,8,4]=>[2,3,8,5,4,6,7,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,1,6,4,7,3,8,5]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,1,6,3,7,2,8,5]=>[1,4,3,6,2,5,7,8]=>[5,3,2,6,4,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[5,1,6,3,7,2,8,4]=>[1,5,7,8,4,3,6,2]=>[8,6,5,2,7,3,4,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[5,2,6,3,7,1,8,4]=>[1,5,7,8,4,3,6,2]=>[8,6,5,2,7,3,4,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[4,2,5,1,7,3,8,6]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,2,6,1,7,3,8,5]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,2,6,3,7,1,8,5]=>[1,4,3,6,2,5,7,8]=>[5,3,2,6,4,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[3,2,6,4,7,5,8,1]=>[1,3,6,5,7,8,2,4]=>[7,2,8,4,3,5,6,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[3,2,5,1,7,4,8,6]=>[1,3,5,7,8,6,4,2]=>[8,2,7,3,6,4,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,2,6,5,7,3,8,1]=>[1,4,5,7,8,2,3,6]=>[6,7,2,3,8,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,2,6,1,7,5,8,3]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,2,5,1,7,6,8,3]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,1,5,2,7,6,8,3]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,1,6,3,7,5,8,4]=>[1,2,3,6,5,7,8,4]=>[2,3,8,5,4,6,7,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,1,6,2,7,5,8,3]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,1,6,2,7,4,8,3]=>[1,5,7,8,3,6,4,2]=>[8,5,7,2,6,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,2,6,1,7,4,8,3]=>[1,5,7,8,3,6,4,2]=>[8,5,7,2,6,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,2,6,4,7,1,8,3]=>[1,5,7,8,3,6,2,4]=>[7,5,8,2,6,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,4,6,2,7,3,8,1]=>[1,5,7,8,2,4,3,6]=>[5,7,6,2,8,3,4,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,4,6,2,7,1,8,3]=>[1,5,7,8,3,6,2,4]=>[7,5,8,2,6,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,4,6,1,7,2,8,3]=>[1,5,7,8,3,6,2,4]=>[7,5,8,2,6,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,1,6,4,7,2,8,3]=>[1,5,7,8,3,6,2,4]=>[7,5,8,2,6,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[2,1,6,5,7,3,8,4]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,1,6,5,7,3,8,2]=>[1,4,5,7,8,2,3,6]=>[6,7,2,3,8,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,4,6,1,7,3,8,2]=>[1,5,7,8,2,4,3,6]=>[5,7,6,2,8,3,4,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,4,6,3,7,1,8,2]=>[1,5,7,8,2,4,3,6]=>[5,7,6,2,8,3,4,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[8,3,5,2,1,6,4,7]=>[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,6,3,5,2,4,1,7]=>[1,8,7,2,6,4,5,3]=>[4,8,6,7,5,3,2,1]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]
[8,2,4,5,7,3,6,1]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[8,2,4,6,5,3,1,7]=>[1,8,7,2,3,4,6,5]=>[4,5,6,8,7,3,2,1]=>[[[[.,[.,[.,[[.,.],.]]]],.],.],.]
[8,2,5,4,6,1,3,7]=>[1,8,7,3,5,6,2,4]=>[7,4,8,5,6,3,2,1]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]
[8,6,3,5,1,4,2,7]=>[1,8,7,2,6,4,5,3]=>[4,8,6,7,5,3,2,1]=>[[[[.,[[[.,.],[.,.]],.]],.],.],.]
[8,1,5,6,4,3,2,7]=>[1,8,7,2,3,5,4,6]=>[4,5,7,6,8,3,2,1]=>[[[[.,[.,[[.,.],[.,.]]]],.],.],.]
[5,7,4,3,2,1,8,6]=>[1,5,2,7,8,6,3,4]=>[3,7,8,2,6,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,7,4,3,2,6,1]=>[1,8,2,5,3,7,6,4]=>[3,5,8,4,7,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[4,6,8,3,2,7,5,1]=>[1,4,3,8,2,6,7,5]=>[5,3,2,8,6,7,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[5,4,7,3,1,8,2,6]=>[1,5,2,4,3,7,6,8]=>[3,5,4,2,7,6,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[1,7,4,5,3,2,8,6]=>[1,2,7,8,6,3,4,5]=>[2,6,7,8,5,3,4,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,7,4,2,1,3,8,6]=>[1,5,2,7,8,6,3,4]=>[3,7,8,2,6,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,7,4,2,1,6,3]=>[1,8,3,7,6,2,5,4]=>[6,3,8,7,5,4,2,1]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]
[4,6,3,8,7,1,5,2]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,6,5,8,7,4,1,2]=>[1,3,5,7,2,6,4,8]=>[5,2,7,3,6,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,1,5,8,6,7,4,2]=>[1,3,5,6,7,4,8,2]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[3,6,4,1,8,7,5,2]=>[1,3,4,2,6,7,5,8]=>[4,2,3,7,5,6,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,7,6,8,1,4,3,5]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,7,3,5,6,8,2,4]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,7,6,5,8,2,1,4]=>[1,3,6,2,7,4,5,8]=>[4,2,6,7,3,5,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,6,8,5,7,2,4,1]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[4,2,7,6,8,3,1,5]=>[1,4,6,3,7,2,5,8]=>[6,4,2,7,3,5,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[3,8,2,4,6,7,5,1]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,2,6,1,4,7,8,5]=>[1,3,6,7,8,5,4,2]=>[8,2,7,6,3,4,5,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[2,7,4,8,1,6,5,3]=>[1,2,7,5,3,4,8,6]=>[2,5,6,4,8,3,7,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[8,4,1,5,7,2,6,3]=>[1,8,3,2,4,5,7,6]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[8,5,3,7,1,6,2,4]=>[1,8,4,7,2,5,3,6]=>[5,7,3,6,8,4,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[8,5,7,2,1,3,6,4]=>[1,8,4,2,5,3,7,6]=>[4,6,3,5,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,1,2,5,6,7,4,3]=>[1,8,3,2,4,5,6,7]=>[4,3,5,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[8,2,6,5,7,4,1,3]=>[1,8,3,6,4,5,7,2]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[2,1,7,8,5,6,4,3]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[8,2,5,7,6,4,3,1]=>[1,8,2,3,5,6,4,7]=>[3,4,7,5,6,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,7,6,8,5,4,1,3]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,7,2,5,8,6,4,3]=>[1,2,7,4,5,8,3,6]=>[2,7,4,5,8,3,6,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[1,7,4,8,2,6,5,3]=>[1,2,7,5,3,4,8,6]=>[2,5,6,4,8,3,7,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[3,7,8,1,6,5,2,4]=>[1,3,8,4,2,7,5,6]=>[5,2,4,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[2,7,8,6,1,3,5,4]=>[1,2,7,5,3,8,4,6]=>[2,5,7,4,8,3,6,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[8,4,7,6,5,1,3,2]=>[1,8,2,4,6,3,7,5]=>[3,6,4,8,5,7,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[8,7,1,5,6,4,3,2]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,5,3,1,2,4,8,7]=>[1,6,4,2,5,3,7,8]=>[4,6,3,5,2,7,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,8,1,4,5,7,3,2]=>[1,6,7,3,2,8,4,5]=>[5,4,7,8,2,3,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[3,6,2,4,5,1,8,7]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,6,1,4,5,3,8,7]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,1,2,4,5,3,8,7]=>[1,6,3,2,4,5,7,8]=>[4,3,5,6,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,4,3,6,1,2,8,7]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,3,1,4,5,2,8,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,8,7,4,2,6,3,1]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,8,7,4,1,6,3,5]=>[1,2,8,5,3,7,4,6]=>[2,5,7,4,8,6,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[8,1,7,4,2,6,3,5]=>[1,8,5,2,3,7,4,6]=>[4,5,7,3,8,6,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[3,7,8,4,5,1,2,6]=>[1,3,8,6,2,7,4,5]=>[5,2,7,8,4,6,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[2,1,6,8,5,7,3,4]=>[1,2,3,6,7,4,8,5]=>[2,3,6,8,4,5,7,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,6,3,8,1,7,2,4]=>[1,5,2,6,7,3,4,8]=>[3,6,7,2,4,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,5,7,4,1,6,3,2]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[5,1,8,4,7,6,2,3]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,5,8,4,7,6,1,3]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,4,8,3,5,6,7,1]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[8,4,1,3,5,6,7,2]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,5,8,4,3,6,1,2]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,1,5,8,4,6,7,3]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,1,4,8,3,6,7,5]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[7,3,8,4,2,6,1,5]=>[1,7,2,3,8,5,4,6]=>[3,4,7,6,8,2,5,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,3,8,1,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[3,8,2,1,5,6,7,4]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,8,1,3,5,6,7,4]=>[1,2,8,4,3,5,6,7]=>[2,5,4,6,7,8,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[8,1,2,3,5,6,7,4]=>[1,8,4,3,2,5,6,7]=>[5,4,3,6,7,8,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[7,8,2,4,3,6,1,5]=>[1,7,2,8,5,3,4,6]=>[3,6,7,5,8,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,1,7,8,5,4,3,6]=>[1,2,3,7,4,8,6,5]=>[2,3,5,8,7,4,6,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[7,1,8,4,5,3,2,6]=>[1,7,2,3,8,6,4,5]=>[3,4,7,8,6,2,5,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[3,8,7,4,2,6,1,5]=>[1,3,7,2,8,5,4,6]=>[4,2,7,6,8,3,5,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[5,6,3,8,4,2,7,1]=>[1,5,4,8,2,6,3,7]=>[5,7,3,2,6,8,4,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[4,8,3,6,2,1,7,5]=>[1,4,6,2,8,5,3,7]=>[4,7,2,6,3,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,1,3,2,6,8,7,5]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[7,5,3,6,2,8,1,4]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,6,3,5,1,2,7,4]=>[1,8,4,5,2,6,3,7]=>[5,7,3,4,6,8,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[5,8,3,2,6,1,7,4]=>[1,5,6,2,8,4,3,7]=>[4,7,6,2,3,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[3,5,8,4,7,6,2,1]=>[1,3,8,2,5,7,4,6]=>[4,2,7,5,8,6,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[5,8,2,4,7,6,1,3]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,7,5,4,1,6,2,3]=>[1,8,3,5,2,7,4,6]=>[5,3,7,4,8,6,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[2,7,6,4,5,8,1,3]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[7,1,6,4,5,8,2,3]=>[1,7,2,3,6,8,4,5]=>[3,4,7,8,5,2,6,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,7,3,6,1,8,2,4]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,7,6,5,8,3,4]=>[1,2,3,7,4,6,8,5]=>[2,3,5,8,6,4,7,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[2,1,8,5,3,6,7,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,8,5,4,2,6,1,3]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,1,4,2,5,6,7,3]=>[1,8,3,4,2,5,6,7]=>[5,3,4,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[2,8,4,1,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,8,1,2,5,6,7,3]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,4,8,1,5,6,7,2]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,4,1,8,5,6,7,3]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[8,4,2,1,5,6,7,3]=>[1,8,3,2,4,5,6,7]=>[4,3,5,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[2,1,5,3,8,6,7,4]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[6,4,3,5,8,1,7,2]=>[1,6,2,4,5,8,3,7]=>[3,7,4,5,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,3,5,4,8,6,1,2]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,3,4,1,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,1,4,8,5,6,7,2]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[6,5,3,7,2,8,4,1]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,3,7,4,5,8,2,1]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,7,2,4,5,8,3,1]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,1,7,4,8,6,3,2]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,5,7,4,8,6,3,1]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[3,8,7,4,5,2,1,6]=>[1,3,7,2,8,6,4,5]=>[4,2,7,8,6,3,5,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,2,5,1,6,8,4,7]=>[1,3,5,6,8,7,4,2]=>[8,2,7,3,4,6,5,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[3,6,2,5,4,8,1,7]=>[1,3,2,6,8,7,4,5]=>[3,2,7,8,4,6,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[3,5,2,4,7,1,8,6]=>[1,3,2,5,7,8,6,4]=>[3,2,8,4,7,5,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,2,6,5,3,8,1,7]=>[1,4,5,3,6,8,7,2]=>[8,4,2,3,5,7,6,1]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[6,3,5,1,4,8,2,7]=>[1,6,8,7,2,3,5,4]=>[5,6,8,7,2,4,3,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[5,4,3,8,2,7,6,1]=>[1,5,2,4,8,3,6,7]=>[3,6,4,2,7,8,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,4,3,1,7,2,8,5]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,5,4,3,1,8,2,6]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,1,3,5,8,4,2,6]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,5,7,4,6,1,3]=>[1,2,8,3,5,4,7,6]=>[2,4,6,5,8,7,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[3,5,8,7,1,4,6,2]=>[1,3,8,2,5,4,7,6]=>[4,2,6,5,8,7,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[1,4,5,8,7,3,6,2]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[4,3,7,1,8,6,5,2]=>[1,4,2,3,7,5,8,6]=>[3,4,2,6,8,5,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,3,7,6,5,2,1]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,8,6,5,3,7,4,2]=>[1,2,8,3,6,7,4,5]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,5,8,6,3,7,4,2]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,6,1,8,7,3,5,2]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[6,8,7,3,1,4,5,2]=>[1,6,4,3,7,5,2,8]=>[7,4,3,6,2,5,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[6,2,8,7,4,5,1,3]=>[1,6,5,4,7,2,3,8]=>[6,7,4,3,2,5,8,1]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[7,6,2,8,4,1,3,5]=>[1,7,3,2,6,4,8,5]=>[4,3,6,8,5,2,7,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[7,3,1,6,8,4,2,5]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[1,7,6,4,8,3,2,5]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,7,1,6,3,2,8,4]=>[1,5,3,2,7,8,4,6]=>[4,3,7,2,8,5,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,1,7,5,3,2,8,4]=>[1,6,2,3,7,8,4,5]=>[3,4,7,8,2,5,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,2,6,3,8,7,4,1]=>[1,5,8,2,3,6,7,4]=>[4,5,8,2,6,7,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,2,7,6,3,1,8,4]=>[1,5,3,7,8,4,6,2]=>[8,3,6,2,7,4,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,5,2,1,7,3,8,4]=>[1,6,3,2,5,7,8,4]=>[4,3,8,5,2,6,7,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[4,7,2,6,3,1,8,5]=>[1,4,6,2,7,8,5,3]=>[4,8,2,7,3,5,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,7,2,1,4,8,5]=>[1,3,7,8,5,2,6,4]=>[6,2,8,5,7,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,3,7,8,2,1,5,6]=>[1,4,8,6,2,3,7,5]=>[5,6,2,8,4,7,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[8,3,7,1,4,6,2,5]=>[1,8,5,4,2,3,7,6]=>[5,6,4,3,8,7,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[8,7,3,6,2,5,4,1]=>[1,8,2,7,4,6,5,3]=>[3,8,5,7,6,4,2,1]=>[[[.,[[[.,.],[[.,.],.]],.]],.],.]
[5,8,7,2,6,1,3,4]=>[1,5,6,2,8,4,3,7]=>[4,7,6,2,3,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[3,6,8,1,7,5,2,4]=>[1,3,8,4,2,6,5,7]=>[5,2,4,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[5,2,7,1,8,6,4,3]=>[1,5,8,3,7,4,2,6]=>[7,4,6,2,8,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,8,2,7,6,4,3,1]=>[1,5,6,4,7,3,2,8]=>[7,6,4,2,3,5,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[6,2,8,7,5,4,3,1]=>[1,6,4,7,3,8,2,5]=>[7,5,3,8,2,4,6,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[7,6,2,1,8,5,4,3]=>[1,7,4,2,6,5,8,3]=>[4,8,3,6,5,2,7,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,5,1,8,2,6,4,3]=>[1,7,4,8,3,2,5,6]=>[6,5,3,7,8,2,4,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[7,8,3,1,6,5,2,4]=>[1,7,2,8,4,3,5,6]=>[3,6,5,7,8,2,4,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,7,4,6,1,5,3,2]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[8,5,7,1,6,4,3,2]=>[1,8,2,5,6,4,3,7]=>[3,7,6,4,5,8,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[7,1,8,6,5,4,3,2]=>[1,7,3,8,2,4,6,5]=>[5,3,6,8,7,2,4,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[5,4,2,3,7,6,1,8]=>[1,5,7,2,4,3,6,8]=>[4,6,5,2,7,3,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[7,4,2,6,3,5,1,8]=>[1,7,2,4,6,5,3,8]=>[3,7,4,6,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,4,2,6,3,1,5,7]=>[1,8,7,5,3,2,4,6]=>[6,5,7,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[4,7,2,6,3,5,1,8]=>[1,4,6,5,3,2,7,8]=>[6,5,2,4,3,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[5,7,6,2,3,4,1,8]=>[1,5,3,6,4,2,7,8]=>[6,3,5,2,4,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,6,5,2,3,8,4,7]=>[1,2,6,8,7,4,3,5]=>[2,7,6,8,3,5,4,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[4,8,2,6,3,1,5,7]=>[1,4,6,2,8,7,5,3]=>[4,8,2,7,3,6,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,2,8,6,4,1,5,7]=>[1,3,8,7,5,4,6,2]=>[8,2,6,5,7,4,3,1]=>[[[.,.],[[[[.,.],[.,.]],.],.]],.]
[7,1,5,2,8,3,4,6]=>[1,7,4,2,3,5,8,6]=>[4,5,3,6,8,2,7,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[1,8,5,2,7,3,4,6]=>[1,2,8,6,3,5,7,4]=>[2,5,8,6,4,7,3,1]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]
[1,8,6,7,2,3,4,5]=>[1,2,8,5,3,6,4,7]=>[2,5,7,4,6,8,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[8,1,6,7,2,3,4,5]=>[1,8,5,2,3,6,4,7]=>[4,5,7,3,6,8,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[5,8,7,2,1,3,4,6]=>[1,5,2,8,6,3,7,4]=>[3,6,8,2,5,7,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,7,6,8,2,3,4,5]=>[1,2,7,4,8,5,3,6]=>[2,7,4,6,8,3,5,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[5,4,2,3,8,1,6,7]=>[1,5,8,7,6,2,4,3]=>[6,8,7,2,5,4,3,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[4,5,2,3,1,8,6,7]=>[1,4,3,2,5,6,8,7]=>[4,3,2,5,6,8,7,1]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[6,4,2,1,3,8,5,7]=>[1,6,8,7,5,3,2,4]=>[7,6,8,5,2,4,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[7,4,2,1,8,3,5,6]=>[1,7,5,8,6,3,2,4]=>[7,6,8,3,5,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[8,4,2,1,7,3,5,6]=>[1,8,6,3,2,4,5,7]=>[5,4,6,7,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[1,4,2,8,7,3,5,6]=>[1,2,4,8,6,3,5,7]=>[2,6,3,7,5,8,4,1]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[1,5,8,2,7,3,4,6]=>[1,2,5,7,4,3,8,6]=>[2,6,5,3,8,4,7,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[3,2,6,1,4,8,5,7]=>[1,3,6,8,7,5,4,2]=>[8,2,7,6,3,5,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,2,7,1,8,4,5,6]=>[1,3,7,5,8,6,4,2]=>[8,2,7,4,6,3,5,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,7,2,1,8,3,5,6]=>[1,4,2,7,5,8,6,3]=>[3,8,2,5,7,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,7,8,6,2,3,4,5]=>[1,2,7,4,6,3,8,5]=>[2,6,4,8,5,3,7,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[7,8,1,6,2,3,4,5]=>[1,7,4,6,3,2,8,5]=>[6,5,3,8,4,2,7,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[3,2,8,1,7,4,5,6]=>[1,3,8,6,4,2,5,7]=>[6,2,5,7,4,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[5,1,8,2,7,3,4,6]=>[1,5,7,4,2,3,8,6]=>[5,6,4,2,8,3,7,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[6,1,8,7,2,3,4,5]=>[1,6,3,8,5,2,4,7]=>[6,3,7,5,2,8,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[8,1,7,6,2,3,4,5]=>[1,8,5,2,3,7,4,6]=>[4,5,7,3,8,6,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[1,8,7,6,2,3,4,5]=>[1,2,8,5,3,7,4,6]=>[2,5,7,4,8,6,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[4,3,5,6,1,2,8,7]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,3,7,5,1,8,4,2]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,6,1,5,4,3,8,7]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,3,1,4,6,2,8,7]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,7,4,6,2,8,3,1]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,1,4,7,2,6,3,5]=>[1,8,5,2,3,4,7,6]=>[4,5,6,3,8,7,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[3,4,7,8,5,2,1,6]=>[1,3,7,2,4,8,6,5]=>[4,2,5,8,7,3,6,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[5,8,2,4,6,7,3,1]=>[1,5,6,7,3,2,8,4]=>[6,5,8,2,3,4,7,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[7,5,4,8,1,6,3,2]=>[1,7,3,4,8,2,5,6]=>[6,3,4,7,8,2,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[2,4,6,3,7,5,8,1]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,1,6,3,8,5,7,2]=>[1,4,3,6,5,8,2,7]=>[7,3,2,5,4,8,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[3,7,4,2,8,6,5,1]=>[1,3,4,2,7,5,8,6]=>[4,2,3,6,8,5,7,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[7,4,1,3,5,8,6,2]=>[1,7,6,8,2,4,3,5]=>[5,7,6,8,3,2,4,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[6,5,8,4,1,7,3,2]=>[1,6,7,3,8,2,5,4]=>[6,4,8,7,2,3,5,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[2,1,4,8,3,7,6,5]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,3,7,4,1,8,2,5]=>[1,6,8,5,2,3,7,4]=>[5,6,8,4,2,7,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[3,1,8,2,7,6,5,4]=>[1,3,8,4,2,5,7,6]=>[5,2,4,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[2,3,8,1,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,3,7,2,6,8,5,1]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,7,2,3,8,5,6,1]=>[1,4,3,2,7,6,5,8]=>[4,3,2,7,6,5,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[2,8,1,3,6,5,7,4]=>[1,2,8,4,3,5,6,7]=>[2,5,4,6,7,8,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[5,3,8,7,4,2,6,1]=>[1,5,4,7,6,2,3,8]=>[6,7,3,2,5,4,8,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[4,3,8,7,2,1,6,5]=>[1,4,7,6,2,3,8,5]=>[5,6,2,8,4,3,7,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[7,3,5,8,2,4,1,6]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,3,4,1,8,5,7,6]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[4,1,3,2,6,7,8,5]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,3,5,6,2,7,1,4]=>[1,8,4,6,7,2,3,5]=>[6,7,3,8,4,5,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[5,3,6,1,8,7,2,4]=>[1,5,8,4,2,3,6,7]=>[5,6,4,2,7,8,3,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[7,8,5,6,1,4,2,3]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,8,6,5,4,7,1,3]=>[1,2,8,3,6,7,4,5]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[8,1,6,4,5,7,2,3]=>[1,8,3,6,7,2,4,5]=>[6,3,7,8,4,5,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[2,1,8,6,5,7,3,4]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[2,7,4,1,6,5,8,3]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,4,1,5,8,7,6,3]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[4,1,2,5,8,6,7,3]=>[1,4,5,8,3,2,6,7]=>[6,5,2,3,7,8,4,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[6,4,2,1,5,8,7,3]=>[1,6,8,3,2,4,5,7]=>[5,4,6,7,2,8,3,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[7,5,3,2,6,8,1,4]=>[1,7,2,5,6,8,4,3]=>[3,8,7,4,5,2,6,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,3,5,4,6,1,8,2]=>[1,7,8,2,3,5,6,4]=>[4,5,8,6,7,2,3,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,3,4,1,5,7,8,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,1,5,7,6,8,2]=>[1,4,5,7,8,2,3,6]=>[6,7,2,3,8,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,1,4,5,6,8,7,2]=>[1,3,4,5,6,8,2,7]=>[7,2,3,4,5,8,6,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[8,5,2,7,4,1,6,3]=>[1,8,3,2,5,4,7,6]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[8,3,7,5,2,1,6,4]=>[1,8,4,5,2,3,7,6]=>[5,6,3,4,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[6,3,7,5,2,8,4,1]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,7,2,3,4,8,5,1]=>[1,6,8,2,7,5,4,3]=>[4,8,7,6,2,5,3,1]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]
[8,7,2,3,4,1,6,5]=>[1,8,5,4,3,2,7,6]=>[6,5,4,3,8,7,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[2,5,7,3,8,6,4,1]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[7,6,1,3,5,8,4,2]=>[1,7,4,3,2,6,8,5]=>[5,4,3,8,6,2,7,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[3,6,7,4,1,8,5,2]=>[1,3,7,5,2,6,8,4]=>[5,2,8,4,6,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,1,8,7,4,3,6,5]=>[1,2,3,8,5,4,7,6]=>[2,3,6,5,8,7,4,1]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[5,8,3,7,4,2,6,1]=>[1,5,4,7,6,2,8,3]=>[6,8,3,2,5,4,7,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[7,8,1,3,5,2,6,4]=>[1,7,6,2,8,4,3,5]=>[4,7,6,8,3,2,5,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[2,8,6,3,1,5,7,4]=>[1,2,8,4,3,6,5,7]=>[2,5,4,7,6,8,3,1]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[8,1,6,3,2,5,4,7]=>[1,8,7,4,3,6,5,2]=>[8,5,4,7,6,3,2,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[4,8,1,2,7,6,3,5]=>[1,4,2,8,5,7,3,6]=>[3,7,2,5,8,6,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[2,1,5,3,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,4,1,8,7,6,5,3]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[8,4,2,1,7,5,3,6]=>[1,8,6,5,7,3,2,4]=>[7,6,8,4,3,5,2,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[3,1,4,8,6,5,7,2]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[7,1,6,5,4,8,2,3]=>[1,7,2,3,6,8,4,5]=>[3,4,7,8,5,2,6,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,6,2,5,1,7,4,3]=>[1,8,3,2,6,7,4,5]=>[4,3,7,8,5,6,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[7,5,2,6,3,8,1,4]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,1,2,3,6,8,7,5]=>[1,4,3,2,5,6,8,7]=>[4,3,2,5,6,8,7,1]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[7,5,2,8,3,4,6,1]=>[1,7,6,4,8,2,5,3]=>[6,8,4,7,3,2,5,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[5,6,2,8,4,3,1,7]=>[1,5,4,8,7,2,6,3]=>[6,8,3,2,7,5,4,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[4,7,2,8,1,5,3,6]=>[1,4,8,6,5,2,7,3]=>[6,8,2,5,4,7,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[8,7,2,1,4,5,6,3]=>[1,8,3,2,7,6,5,4]=>[4,3,8,7,6,5,2,1]=>[[[[.,.],[[[[.,.],.],.],.]],.],.]
[3,6,8,7,1,5,4,2]=>[1,3,8,2,6,5,4,7]=>[4,2,7,6,5,8,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[7,1,8,5,4,3,6,2]=>[1,7,6,3,8,2,4,5]=>[6,4,7,8,3,2,5,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[2,7,8,4,5,3,6,1]=>[1,2,7,6,3,8,4,5]=>[2,5,7,8,4,3,6,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[5,7,3,8,1,4,6,2]=>[1,5,2,7,6,4,8,3]=>[3,8,6,2,5,4,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[7,5,8,4,3,6,2,1]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,1,8,3,6,5,2,7]=>[1,4,3,8,7,2,5,6]=>[6,3,2,7,8,5,4,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[3,4,8,1,7,2,5,6]=>[1,3,8,6,2,4,5,7]=>[5,2,6,7,4,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[8,4,1,3,7,2,6,5]=>[1,8,5,7,6,2,4,3]=>[6,8,7,3,5,4,2,1]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[6,3,8,4,2,5,7,1]=>[1,6,5,2,3,8,4,7]=>[4,5,7,3,2,8,6,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[2,1,4,8,3,5,7,6]=>[1,2,3,4,8,6,5,7]=>[2,3,4,7,6,8,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[6,8,2,4,3,5,1,7]=>[1,6,5,3,2,8,7,4]=>[5,4,8,3,2,7,6,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[4,8,2,3,5,1,6,7]=>[1,4,3,2,8,7,6,5]=>[4,3,2,8,7,6,5,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[2,8,1,3,4,5,7,6]=>[1,2,8,6,5,4,3,7]=>[2,7,6,5,4,8,3,1]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[2,8,4,1,6,5,3,7]=>[1,2,8,7,3,4,5,6]=>[2,5,6,7,8,4,3,1]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[2,8,4,1,6,5,7,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,8,7,6,1,4,3,5]=>[1,2,8,5,3,7,4,6]=>[2,5,7,4,8,6,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[2,8,5,6,7,4,3,1]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[7,5,8,6,1,4,2,3]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,5,7,6,1,4,2,8]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,8,5,3,4,7,6,1]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[2,8,5,3,4,1,6,7]=>[1,2,8,7,6,3,5,4]=>[2,6,8,7,5,4,3,1]=>[[.,[[[[.,[[.,.],.]],.],.],.]],.]
[2,8,5,3,6,1,7,4]=>[1,2,8,4,3,5,6,7]=>[2,5,4,6,7,8,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[2,8,5,6,7,4,1,3]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[2,8,5,3,4,6,7,1]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[3,5,7,2,4,6,1,8]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,5,2,7,3,1,4,8]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,5,2,8,3,1,7,4]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,5,2,8,3,1,4,7]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[7,5,8,2,4,6,3,1]=>[1,7,3,8,2,5,4,6]=>[5,3,7,6,8,2,4,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,5,8,6,1,4,3,2]=>[1,7,3,8,2,5,4,6]=>[5,3,7,6,8,2,4,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,5,8,2,1,3,7,4]=>[1,6,3,8,4,2,5,7]=>[6,3,5,7,2,8,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[3,5,7,6,1,4,8,2]=>[1,3,7,8,2,5,4,6]=>[5,2,7,6,8,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,5,7,2,4,6,8,1]=>[1,3,7,8,2,5,4,6]=>[5,2,7,6,8,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,5,2,7,3,1,8,4]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,1,6,8,7,3,4,2]=>[1,5,7,4,8,2,3,6]=>[6,7,4,2,8,3,5,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[4,1,2,3,8,7,5,6]=>[1,4,3,2,5,8,6,7]=>[4,3,2,5,7,8,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[4,1,2,3,8,6,5,7]=>[1,4,3,2,5,8,7,6]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[4,1,2,3,8,6,7,5]=>[1,4,3,2,5,8,6,7]=>[4,3,2,5,7,8,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[4,1,2,3,7,6,5,8]=>[1,4,3,2,5,7,6,8]=>[4,3,2,5,7,6,8,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[4,1,2,3,8,5,7,6]=>[1,4,3,2,5,8,6,7]=>[4,3,2,5,7,8,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[7,1,6,8,4,3,5,2]=>[1,7,5,4,8,2,3,6]=>[6,7,4,3,8,2,5,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[5,6,8,2,3,1,7,4]=>[1,5,3,8,4,2,6,7]=>[6,3,5,2,7,8,4,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[6,5,8,2,4,3,1,7]=>[1,6,3,8,7,2,5,4]=>[6,3,8,7,2,5,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[5,1,6,8,7,3,2,4]=>[1,5,7,2,3,6,4,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,1,6,8,4,3,2,5]=>[1,7,2,3,6,4,8,5]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,1,8,3,6,2,7,5]=>[1,4,3,8,5,6,2,7]=>[7,3,2,5,6,8,4,1]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[3,1,4,8,6,2,7,5]=>[1,3,4,8,5,6,2,7]=>[7,2,3,5,6,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[3,1,4,8,6,5,2,7]=>[1,3,4,8,7,2,5,6]=>[6,2,3,7,8,5,4,1]=>[[[.,.],[.,[[[.,[.,.]],.],.]]],.]
[7,1,6,5,8,3,2,4]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,5,2,7,3,8,1,6]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,5,6,2,4,8,1,7]=>[1,3,6,8,7,2,5,4]=>[6,2,8,7,3,5,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,1,2,3,5,8,7,6]=>[1,4,3,2,5,6,8,7]=>[4,3,2,5,6,8,7,1]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[4,1,2,3,7,8,6,5]=>[1,4,3,2,5,7,6,8]=>[4,3,2,5,7,6,8,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[7,8,5,6,1,4,3,2]=>[1,7,3,5,2,8,4,6]=>[5,3,7,4,8,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,8,4,2,1,5,3,6]=>[1,7,3,4,2,8,6,5]=>[5,3,4,8,7,2,6,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[6,4,1,2,5,7,3,8]=>[1,6,7,3,2,4,5,8]=>[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,3,1,4,7,2,5,8]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,3,5,4,2,1,6]=>[1,7,2,8,6,3,4,5]=>[3,6,7,8,5,2,4,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,8,4,1,2,3,6,5]=>[1,7,6,3,4,2,8,5]=>[6,4,5,8,3,2,7,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[7,8,3,6,5,4,1,2]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,8,2,1,5,3,4,6]=>[1,7,4,2,8,6,3,5]=>[4,7,3,8,6,2,5,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[7,8,2,6,4,1,3,5]=>[1,7,3,2,8,5,4,6]=>[4,3,7,6,8,2,5,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,8,2,5,6,4,1,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,1,6,5,4,3,2]=>[1,7,3,2,8,4,6,5]=>[4,3,6,8,7,2,5,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[1,3,8,2,6,4,7,5]=>[1,2,3,8,5,6,4,7]=>[2,3,7,5,6,8,4,1]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[5,3,6,2,7,4,1,8]=>[1,5,7,2,3,6,4,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,1,8,4,2,7,5]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,2,1,5,3,8,7]=>[1,6,3,2,4,5,7,8]=>[4,3,5,6,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[2,4,7,1,5,3,6,8]=>[1,2,4,3,7,6,5,8]=>[2,4,3,7,6,5,8,1]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[2,1,7,5,6,8,4,3]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[3,7,2,8,6,4,1,5]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,8,1,7,6,4,5,2]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[1,8,5,7,3,6,4,2]=>[1,2,8,3,5,4,7,6]=>[2,4,6,5,8,7,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[2,7,5,8,3,6,1,4]=>[1,2,7,3,5,4,8,6]=>[2,4,6,5,8,3,7,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,5,6,8,2,4,7,3]=>[1,2,5,3,6,4,8,7]=>[2,4,6,3,5,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[2,6,8,5,3,1,4,7]=>[1,2,6,3,8,7,4,5]=>[2,4,7,8,3,6,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,6,1,4,7,3,5,8]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[4,5,6,7,2,8,1,3]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,5,8,6,2,7,3,4]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,7,5,6,3,1,8,2]=>[1,4,6,2,7,8,3,5]=>[4,7,2,8,3,5,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,7,1,4,2,3,8,6]=>[1,5,2,7,8,6,3,4]=>[3,7,8,2,6,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,4,5,8,7,1,2]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,4,1,8,3,7,5]=>[1,6,3,4,2,5,8,7]=>[5,3,4,6,2,8,7,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[6,2,3,5,4,8,1,7]=>[1,6,8,7,2,3,4,5]=>[5,6,7,8,2,4,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,1,3,4,5,8,7,2]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,1,4,2,7,6,8,3]=>[1,5,7,8,3,4,2,6]=>[7,5,6,2,8,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,6,2,4,7,8,3,5]=>[1,2,6,8,5,7,3,4]=>[2,7,8,5,3,6,4,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[5,7,2,4,1,6,3,8]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,7,5,8,1,4,3,2]=>[1,6,4,8,2,7,3,5]=>[5,7,3,8,2,6,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[5,8,7,6,3,4,1,2]=>[1,5,3,7,2,8,4,6]=>[5,3,7,2,8,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,8,7,6,2,3,1,4]=>[1,5,2,8,4,6,3,7]=>[3,7,5,2,6,8,4,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,1,7,2,6,5,3,8]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,2,1,5,6,3,7]=>[1,4,2,8,7,3,5,6]=>[3,6,2,7,8,5,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,2,7,8,1,6,3,5]=>[1,4,8,5,2,3,7,6]=>[5,6,2,4,8,7,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[2,1,8,7,6,5,3,4]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[4,3,7,5,6,8,1,2]=>[1,4,5,6,8,2,3,7]=>[6,7,2,3,4,8,5,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,8,6,3,5,7,1,2]=>[1,4,3,6,7,2,8,5]=>[6,3,2,8,4,5,7,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[3,8,5,6,1,4,7,2]=>[1,3,5,2,8,4,6,7]=>[4,2,6,3,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[5,3,7,8,2,1,6,4]=>[1,5,2,3,7,6,4,8]=>[3,4,7,2,6,5,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,8,7,1,6,4,3]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,6,8,7,5,2,4,3]=>[1,2,6,3,8,4,7,5]=>[2,4,6,8,3,7,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,7,8,5,1,2,4,6]=>[1,3,8,6,2,7,4,5]=>[5,2,7,8,4,6,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[3,7,1,6,4,2,5,8]=>[1,3,2,7,5,4,6,8]=>[3,2,6,5,7,4,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,7,8,6,3,5,1,2]=>[1,4,6,5,3,8,2,7]=>[7,5,2,4,3,8,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[3,8,7,6,5,4,1,2]=>[1,3,7,2,8,4,6,5]=>[4,2,6,8,7,3,5,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[2,1,7,6,5,3,4,8]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[2,8,6,7,5,1,3,4]=>[1,2,8,4,7,3,6,5]=>[2,6,4,8,7,5,3,1]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[2,7,8,6,5,4,1,3]=>[1,2,7,3,8,4,6,5]=>[2,4,6,8,7,3,5,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[7,5,3,6,1,8,2,4]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,3,6,2,4,8,1,5]=>[1,7,2,3,6,8,5,4]=>[3,4,8,7,5,2,6,1]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[3,7,5,1,2,4,8,6]=>[1,3,5,2,7,8,6,4]=>[4,2,8,3,7,5,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,6,4,2,3,8,1,5]=>[1,7,2,6,8,5,3,4]=>[3,7,8,6,4,2,5,1]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[4,7,6,3,8,1,2,5]=>[1,4,3,6,2,7,5,8]=>[5,3,2,7,4,6,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[5,7,4,2,3,8,1,6]=>[1,5,3,4,2,7,6,8]=>[5,3,4,2,7,6,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,7,2,6,1,8,3,4]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,4,7,5,2,8,1,3]=>[1,6,8,3,7,2,4,5]=>[6,4,7,8,2,5,3,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[5,8,2,6,3,7,1,4]=>[1,5,3,2,8,4,6,7]=>[4,3,6,2,7,8,5,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[6,8,4,3,7,1,2,5]=>[1,6,2,8,5,7,3,4]=>[3,7,8,5,2,6,4,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,8,5,3,7,1,2,4]=>[1,6,2,8,4,3,5,7]=>[3,6,5,7,2,8,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,8,6,2,7,1,3,5]=>[1,4,2,8,5,7,3,6]=>[3,7,2,5,8,6,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[7,3,8,5,6,1,2,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,7,6,4,8,1,3,5]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[3,6,5,8,1,2,4,7]=>[1,3,5,2,6,4,8,7]=>[4,2,6,3,5,8,7,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[4,6,3,7,1,8,2,5]=>[1,4,7,2,6,8,5,3]=>[4,8,2,7,5,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,5,7,1,4,8,2,6]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[7,4,6,3,8,1,2,5]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,4,1,6,7,2,3,5]=>[1,8,5,7,3,2,4,6]=>[6,5,7,3,8,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[6,5,3,7,1,8,2,4]=>[1,6,8,4,7,2,5,3]=>[6,8,4,7,2,5,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,5,1,2,8,6,3,4]=>[1,7,3,2,5,8,4,6]=>[4,3,7,5,8,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,4,1,8,6,2,3,5]=>[1,7,3,2,4,8,5,6]=>[4,3,5,7,8,2,6,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[7,6,1,8,5,2,3,4]=>[1,7,3,2,6,4,8,5]=>[4,3,6,8,5,2,7,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[6,4,7,8,2,5,1,3]=>[1,6,5,2,4,8,3,7]=>[4,7,5,3,2,8,6,1]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[4,3,8,7,1,2,5,6]=>[1,4,7,5,2,3,8,6]=>[5,6,2,4,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,3,8,7,1,2,4,6]=>[1,5,2,3,8,6,4,7]=>[3,4,7,2,6,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,3,7,6,1,2,4,5]=>[1,8,5,2,3,7,4,6]=>[4,5,7,3,8,6,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[5,4,8,7,1,2,3,6]=>[1,5,2,4,7,3,8,6]=>[3,6,4,2,8,5,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[4,6,8,2,7,1,3,5]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,7,1,8,6,2,3,5]=>[1,4,8,5,6,2,7,3]=>[6,8,2,4,5,7,3,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[7,5,8,6,4,1,2,3]=>[1,7,2,5,4,6,3,8]=>[3,7,5,4,6,2,8,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[5,8,7,1,6,2,3,4]=>[1,5,6,2,8,4,3,7]=>[4,7,6,2,3,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,8,7,6,1,3,4,5]=>[1,2,8,5,3,7,4,6]=>[2,5,7,4,8,6,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[4,8,7,6,1,2,3,5]=>[1,4,6,2,8,5,3,7]=>[4,7,2,6,3,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,7,1,4,5,8,2,3]=>[1,6,8,3,2,7,4,5]=>[5,4,7,8,2,6,3,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,7,1,4,5,3,2,6]=>[1,8,6,3,2,7,4,5]=>[5,4,7,8,3,6,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[2,7,8,4,1,6,5,3]=>[1,2,7,5,3,8,4,6]=>[2,5,7,4,8,3,6,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[7,1,8,4,2,6,5,3]=>[1,7,5,2,3,8,4,6]=>[4,5,7,3,8,2,6,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,5,1,4,8,6,3,2]=>[1,7,3,2,5,8,4,6]=>[4,3,7,5,8,2,6,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,4,3,8,1,5,7,2]=>[1,6,5,2,4,8,3,7]=>[4,7,5,3,2,8,6,1]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[8,6,3,1,2,5,7,4]=>[1,8,4,2,6,5,3,7]=>[4,7,3,6,5,8,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[7,3,8,4,1,6,5,2]=>[1,7,5,2,3,8,4,6]=>[4,5,7,3,8,2,6,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[2,3,4,5,6,7,8,1,9]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,3,4,5,6,8,9,1,7]=>[1,2,3,4,5,6,8,7,9]=>[2,3,4,5,6,8,7,9,1]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[3,4,5,6,7,8,9,1,2]=>[1,3,5,7,9,2,4,6,8]=>[6,2,7,3,8,4,9,5,1]=>[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]
[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[2,3,4,5,6,7,8,9,1,10]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[2,3,4,5,6,7,1,8,9]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,3,4,5,6,7,8,10,1,9]=>[1,2,3,4,5,6,7,8,10,9]=>[2,3,4,5,6,7,8,10,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[2,3,4,5,6,1,9,7,8]=>[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[2,3,4,5,1,8,9,6,7]=>[1,2,3,4,5,6,8,7,9]=>[2,3,4,5,6,8,7,9,1]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[3,6,4,5,7,2,8,1]=>[1,3,4,5,7,8,2,6]=>[7,2,3,4,8,5,6,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[7,5,3,6,2,4,8,1]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,3,2,5,1,8,4,7]=>[1,6,8,7,4,5,2,3]=>[7,8,5,6,2,4,3,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,2,7,3,4,5,8,1]=>[1,6,5,4,3,7,8,2]=>[8,5,4,3,2,6,7,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[4,2,5,7,3,6,8,1]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,4,7,6,2,3,8,1]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,7,3,5,2,4,8,1]=>[1,6,4,5,2,7,8,3]=>[5,8,3,4,2,6,7,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[3,7,6,2,4,5,8,1]=>[1,3,6,5,4,2,7,8]=>[6,2,5,4,3,7,8,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[5,6,2,3,1,8,4,7]=>[1,5,2,6,8,7,4,3]=>[3,8,7,2,4,6,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[7,8,5,2,3,6,1,4]=>[1,7,2,8,4,3,5,6]=>[3,6,5,7,8,2,4,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,8,6,3,7,2,4,5]=>[1,2,8,5,7,4,3,6]=>[2,7,6,4,8,5,3,1]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]
[1,8,2,7,3,4,5,6]=>[1,2,8,6,4,7,5,3]=>[2,8,5,7,4,6,3,1]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]
[2,8,1,7,3,4,5,6]=>[1,2,8,6,4,7,5,3]=>[2,8,5,7,4,6,3,1]=>[[.,[[[[.,.],[.,.]],[.,.]],.]],.]
[3,8,6,1,7,2,4,5]=>[1,3,6,2,8,5,7,4]=>[4,2,8,6,3,7,5,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,8,1,5,7,2,3,6]=>[1,4,5,7,3,2,8,6]=>[6,5,2,3,8,4,7,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[4,2,8,3,7,1,5,6]=>[1,4,3,8,6,2,5,7]=>[6,3,2,7,5,8,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[1,7,3,8,2,4,5,6]=>[1,2,7,5,3,4,8,6]=>[2,5,6,4,8,3,7,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[8,1,2,7,3,4,5,6]=>[1,8,6,4,7,5,3,2]=>[8,7,4,6,3,5,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[6,3,7,1,2,8,4,5]=>[1,6,8,5,2,3,7,4]=>[5,6,8,4,2,7,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[4,3,5,1,6,8,2,7]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[5,4,6,3,8,7,1,2]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,6,4,5,8,7,1,2]=>[1,3,4,5,8,2,6,7]=>[6,2,3,4,7,8,5,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[5,3,2,8,7,1,4,6]=>[1,5,7,4,8,6,2,3]=>[7,8,4,2,6,3,5,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,3,1,8,7,2,4,6]=>[1,5,7,4,8,6,2,3]=>[7,8,4,2,6,3,5,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[7,6,8,2,3,5,1,4]=>[1,7,2,6,5,3,8,4]=>[3,6,8,5,4,2,7,1]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[6,7,3,8,2,5,1,4]=>[1,6,5,2,7,3,4,8]=>[4,6,7,3,2,5,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[5,4,7,8,2,6,1,3]=>[1,5,2,4,8,3,7,6]=>[3,6,4,2,8,7,5,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[3,6,2,8,7,1,4,5]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[3,7,8,1,6,2,4,5]=>[1,3,8,5,6,2,7,4]=>[6,2,8,4,5,7,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[7,2,8,6,1,3,4,5]=>[1,7,4,6,3,8,5,2]=>[8,5,3,7,4,2,6,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[8,2,7,6,1,3,4,5]=>[1,8,5,2,3,7,4,6]=>[4,5,7,3,8,6,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[6,8,3,7,5,1,2,4]=>[1,6,2,8,4,7,3,5]=>[3,7,5,8,2,6,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,8,6,2,5,1,3,4]=>[1,7,3,6,2,8,4,5]=>[5,3,7,8,4,2,6,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[8,1,6,7,3,2,5,4]=>[1,8,4,7,5,3,6,2]=>[8,6,3,5,7,4,2,1]=>[[[[[.,.],.],[[.,[.,.]],.]],.],.]
[7,5,8,3,6,2,4,1]=>[1,7,4,3,8,2,5,6]=>[6,4,3,7,8,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[7,4,8,3,2,6,5,1]=>[1,7,5,2,4,3,8,6]=>[4,6,5,3,8,2,7,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,4,1,3,2,6,5,8]=>[1,7,5,2,4,3,6,8]=>[4,6,5,3,7,2,8,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[8,1,4,3,2,6,5,7]=>[1,8,7,5,2,3,4,6]=>[5,6,7,4,8,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[8,1,5,4,6,7,2,3]=>[1,8,3,5,6,7,2,4]=>[7,3,8,4,5,6,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[8,1,4,3,2,5,7,6]=>[1,8,6,5,2,3,4,7]=>[5,6,7,4,3,8,2,1]=>[[[[[.,[.,[.,.]]],.],[.,.]],.],.]
[8,1,4,3,2,5,6,7]=>[1,8,7,6,5,2,3,4]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[7,4,1,3,2,5,6,8]=>[1,7,6,5,2,4,3,8]=>[5,7,6,4,3,2,8,1]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]
[7,4,8,3,2,5,6,1]=>[1,7,6,5,2,4,3,8]=>[5,7,6,4,3,2,8,1]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]
[6,4,3,8,2,5,7,1]=>[1,6,5,2,4,8,3,7]=>[4,7,5,3,2,8,6,1]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[7,5,1,4,6,8,2,3]=>[1,7,2,5,6,8,3,4]=>[3,7,8,4,5,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,4,8,3,2,6,1,5]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,4,8,3,2,5,1,6]=>[1,7,2,4,3,8,6,5]=>[3,5,4,8,7,2,6,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,4,3,8,2,5,1,7]=>[1,6,5,2,4,8,7,3]=>[4,8,5,3,2,7,6,1]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[7,4,1,3,2,8,6,5]=>[1,7,6,8,5,2,4,3]=>[6,8,7,5,3,2,4,1]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]
[7,4,1,3,2,8,5,6]=>[1,7,5,2,4,3,6,8]=>[4,6,5,3,7,2,8,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,6,1,8,3,2,4,5]=>[1,7,4,8,5,3,2,6]=>[7,6,3,5,8,2,4,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[7,6,8,1,3,2,5,4]=>[1,7,5,3,8,4,2,6]=>[7,4,6,3,8,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[6,5,3,7,8,2,4,1]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[7,4,8,3,2,1,5,6]=>[1,7,5,2,4,3,8,6]=>[4,6,5,3,8,2,7,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,4,8,3,2,1,6,5]=>[1,7,6,2,4,3,8,5]=>[4,6,5,8,3,2,7,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[7,5,8,3,1,2,6,4]=>[1,7,6,2,5,3,8,4]=>[4,6,8,5,3,2,7,1]=>[[[[.,[[.,[.,.]],.]],.],[.,.]],.]
[7,5,8,4,1,6,2,3]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,3,8,1,2,7,4]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,4,3,7,2,1,8,5]=>[1,6,2,4,7,8,5,3]=>[3,8,4,7,2,5,6,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,5,3,7,1,2,8,4]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,5,3,7,8,2,1,4]=>[1,6,2,5,8,4,7,3]=>[3,8,6,4,2,7,5,1]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]
[5,4,3,2,7,8,1,6]=>[1,5,7,2,4,3,6,8]=>[4,6,5,2,7,3,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,6,2,1,3,4,8,7]=>[1,5,3,2,6,4,7,8]=>[4,3,6,2,5,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,3,7,8,2,1,4,6]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,7,8,4,3,5,6]=>[1,2,3,7,5,4,8,6]=>[2,3,6,5,8,4,7,1]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[5,8,7,4,2,1,6,3]=>[1,5,2,8,3,7,6,4]=>[3,5,8,2,7,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,7,2,8,1,3,6,5]=>[1,4,8,5,2,7,6,3]=>[5,8,2,4,7,6,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[7,3,8,6,1,2,5,4]=>[1,7,5,2,3,8,4,6]=>[4,5,7,3,8,2,6,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[3,4,7,1,8,2,6,5]=>[1,3,7,6,2,4,5,8]=>[5,2,6,7,4,3,8,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[1,8,2,4,3,5,6,7]=>[1,2,8,7,6,5,3,4]=>[2,7,8,6,5,4,3,1]=>[[.,[[[[[.,[.,.]],.],.],.],.]],.]
[1,6,2,4,3,5,7,8]=>[1,2,6,5,3,4,7,8]=>[2,5,6,4,3,7,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[1,5,2,4,3,6,7,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,7,2,5,3,4,6,8]=>[1,2,7,6,4,5,3,8]=>[2,7,5,6,4,3,8,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[1,8,2,5,3,4,6,7]=>[1,2,8,7,6,4,5,3]=>[2,8,6,7,5,4,3,1]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]
[1,8,2,6,3,4,5,7]=>[1,2,8,7,5,3,4,6]=>[2,6,7,5,8,4,3,1]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[1,7,2,8,3,5,4,6]=>[1,2,7,4,8,6,5,3]=>[2,8,4,7,6,3,5,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,5,2,8,3,6,4,7]=>[1,2,5,3,4,8,7,6]=>[2,4,5,3,8,7,6,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[1,4,2,8,3,6,5,7]=>[1,2,4,8,7,5,3,6]=>[2,7,3,6,8,5,4,1]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[1,2,3,7,4,6,5,8]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,3,2,7,4,6,5,8]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,6,2,7,3,5,4,8]=>[1,2,6,5,3,4,7,8]=>[2,5,6,4,3,7,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[1,7,2,6,3,5,4,8]=>[1,2,7,4,6,5,3,8]=>[2,7,4,6,5,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,8,2,6,3,5,4,7]=>[1,2,8,7,4,6,5,3]=>[2,8,5,7,6,4,3,1]=>[[.,[[[[.,.],[[.,.],.]],.],.]],.]
[1,8,2,5,3,6,4,7]=>[1,2,8,7,4,5,3,6]=>[2,7,5,6,8,4,3,1]=>[[.,[[[[.,.],[.,[.,.]]],.],.]],.]
[1,7,2,5,3,6,4,8]=>[1,2,7,4,5,3,6,8]=>[2,6,4,5,7,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[1,5,2,4,3,7,6,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,6,2,4,3,7,5,8]=>[1,2,6,7,5,3,4,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[1,8,2,4,3,6,5,7]=>[1,2,8,7,5,3,4,6]=>[2,6,7,5,8,4,3,1]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[1,8,2,3,4,7,5,6]=>[1,2,8,6,7,5,4,3]=>[2,8,7,6,4,5,3,1]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[1,6,2,4,3,8,5,7]=>[1,2,6,8,7,5,3,4]=>[2,7,8,6,3,5,4,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[1,5,2,4,3,8,6,7]=>[1,2,5,3,4,6,8,7]=>[2,4,5,3,6,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[1,7,2,5,3,8,4,6]=>[1,2,7,4,5,3,6,8]=>[2,6,4,5,7,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[1,8,2,6,3,7,4,5]=>[1,2,8,5,3,4,6,7]=>[2,5,6,4,7,8,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[1,2,3,8,4,7,5,6]=>[1,2,3,4,8,6,7,5]=>[2,3,4,8,6,7,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[1,3,2,8,4,7,5,6]=>[1,2,3,4,8,6,7,5]=>[2,3,4,8,6,7,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[1,4,2,8,3,7,5,6]=>[1,2,4,8,6,7,5,3]=>[2,8,3,7,5,6,4,1]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[1,5,2,8,3,7,4,6]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,6,2,8,3,7,4,5]=>[1,2,6,7,4,8,5,3]=>[2,8,5,7,3,4,6,1]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[1,7,2,8,3,6,4,5]=>[1,2,7,4,8,5,3,6]=>[2,7,4,6,8,3,5,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[1,8,2,7,3,6,4,5]=>[1,2,8,5,3,4,7,6]=>[2,5,6,4,8,7,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[4,6,3,8,5,1,7,2]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,6,3,8,5,1,2,7]=>[1,4,8,7,2,6,3,5]=>[5,7,2,8,6,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[5,6,8,3,4,1,7,2]=>[1,5,4,3,8,2,6,7]=>[6,4,3,2,7,8,5,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]
[5,6,8,4,3,1,7,2]=>[1,5,3,8,2,6,4,7]=>[5,3,7,2,6,8,4,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,7,8,4,1,6,2,3]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,8,4,1,6,3,2]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,8,4,1,3,6,2]=>[1,5,2,7,6,3,8,4]=>[3,6,8,2,5,4,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,6,8,4,2,1,7,3]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,8,2,4,1,7,3]=>[1,5,4,2,6,3,8,7]=>[4,6,3,2,5,8,7,1]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[3,2,6,8,5,1,7,4]=>[1,3,6,2,4,8,5,7]=>[4,2,5,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[3,2,6,8,5,1,4,7]=>[1,3,6,2,4,8,7,5]=>[4,2,5,8,3,7,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,6,2,8,5,1,3,7]=>[1,4,8,7,3,2,6,5]=>[6,5,2,8,7,4,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[5,6,8,2,4,1,3,7]=>[1,5,4,2,6,3,8,7]=>[4,6,3,2,5,8,7,1]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[5,6,8,4,2,1,3,7]=>[1,5,2,6,3,8,7,4]=>[3,5,8,2,4,7,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,7,8,4,1,3,2,6]=>[1,5,2,7,3,8,6,4]=>[3,5,8,2,7,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,8,4,1,2,6,3]=>[1,5,2,7,6,3,8,4]=>[3,6,8,2,5,4,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,8,4,1,2,3,6]=>[1,5,2,7,3,8,6,4]=>[3,5,8,2,7,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,7,8,1,5,2,3,4]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,7,8,1,5,2,4,3]=>[1,6,2,7,4,3,8,5]=>[3,6,5,8,2,4,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,7,8,1,5,3,2,4]=>[1,6,3,8,4,2,7,5]=>[6,3,5,8,2,7,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[5,7,8,2,1,6,3,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,7,8,1,6,5,4]=>[1,3,7,5,2,4,8,6]=>[5,2,6,4,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,7,8,1,5,3,4,2]=>[1,6,3,8,2,7,4,5]=>[5,3,7,8,2,6,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[6,7,8,1,4,3,5,2]=>[1,6,3,8,2,7,5,4]=>[5,3,8,7,2,6,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,7,8,1,3,4,5,2]=>[1,6,4,2,7,5,3,8]=>[4,7,3,6,2,5,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[3,2,6,8,4,1,7,5]=>[1,3,6,2,4,8,5,7]=>[4,2,5,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[5,6,8,3,2,1,7,4]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,7,8,3,1,6,2,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,3,8,1,5,6,2]=>[1,4,8,2,7,6,5,3]=>[4,8,2,7,6,5,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[4,5,2,3,8,1,7,6]=>[1,4,3,2,5,8,6,7]=>[4,3,2,5,7,8,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[4,5,3,2,8,1,6,7]=>[1,4,2,5,8,7,6,3]=>[3,8,2,4,7,6,5,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[4,7,3,8,1,5,2,6]=>[1,4,8,6,5,2,7,3]=>[6,8,2,5,4,7,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,7,3,8,1,2,6,5]=>[1,4,8,5,2,7,6,3]=>[5,8,2,4,7,6,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[4,7,3,8,1,2,5,6]=>[1,4,8,6,2,7,5,3]=>[5,8,2,7,4,6,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,7,8,3,1,2,6,4]=>[1,5,2,7,6,3,8,4]=>[3,6,8,2,5,4,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,8,3,1,4,2,6]=>[1,5,2,7,3,8,6,4]=>[3,5,8,2,7,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,6,8,3,2,1,4,7]=>[1,5,2,6,3,8,7,4]=>[3,5,8,2,4,7,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,7,8,2,1,4,3,6]=>[1,5,2,7,3,8,6,4]=>[3,5,8,2,7,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,7,8,1,4,3,2,5]=>[1,6,3,8,5,4,2,7]=>[7,3,6,5,2,8,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,7,8,1,4,2,5,3]=>[1,6,2,7,5,4,3,8]=>[3,7,6,5,2,4,8,1]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[6,7,8,1,4,2,3,5]=>[1,6,2,7,3,8,5,4]=>[3,5,8,7,2,4,6,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,7,8,1,2,5,3,4]=>[1,6,5,2,7,3,8,4]=>[4,6,8,3,2,5,7,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,7,8,1,2,4,5,3]=>[1,6,4,2,7,5,3,8]=>[4,7,3,6,2,5,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,7,8,1,3,2,5,4]=>[1,6,2,7,5,3,8,4]=>[3,6,8,5,2,4,7,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,7,8,2,1,3,6,4]=>[1,5,2,7,6,3,8,4]=>[3,6,8,2,5,4,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,7,8,1,4,6,5]=>[1,3,7,6,4,8,5,2]=>[8,2,5,7,4,3,6,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[6,7,8,1,3,2,4,5]=>[1,6,2,7,4,3,8,5]=>[3,6,5,8,2,4,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,7,8,1,2,3,5,4]=>[1,6,3,8,4,2,7,5]=>[6,3,5,8,2,7,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[7,2,8,5,1,6,4,3]=>[1,7,4,5,2,3,8,6]=>[5,6,3,4,8,2,7,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[1,3,7,5,2,6,4,8]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[2,8,4,5,6,1,7,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,8,4,3,5,6,1,7]=>[1,2,8,7,3,4,5,6]=>[2,5,6,7,8,4,3,1]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[7,2,8,4,5,6,1,3]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,6,3,7,5,2,4,8]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,2,3,8,5,1,7,4]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,4,8,2,5,6,3,1]=>[1,7,3,8,2,4,5,6]=>[5,3,6,7,8,2,4,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[7,4,8,5,2,1,3,6]=>[1,7,3,8,6,2,4,5]=>[6,3,7,8,5,2,4,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[6,4,8,5,1,3,7,2]=>[1,6,3,8,2,4,5,7]=>[5,3,6,7,2,8,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[6,3,7,5,2,1,8,4]=>[1,6,2,3,7,8,4,5]=>[3,4,7,8,2,5,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,7,5,1,2,8,6]=>[1,4,5,2,3,7,8,6]=>[4,5,2,3,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,4,1,2,7,6,8,5]=>[1,3,2,4,5,7,8,6]=>[3,2,4,5,8,6,7,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[3,4,2,1,7,5,8,6]=>[1,3,2,4,5,7,8,6]=>[3,2,4,5,8,6,7,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[3,6,5,7,1,4,8,2]=>[1,3,5,2,6,4,7,8]=>[4,2,6,3,5,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[3,5,2,6,4,8,7,1]=>[1,3,2,5,4,6,8,7]=>[3,2,5,4,6,8,7,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[5,6,1,8,7,2,4,3]=>[1,5,7,4,8,3,2,6]=>[7,6,4,2,8,3,5,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[6,3,5,8,2,7,4,1]=>[1,6,7,4,8,2,3,5]=>[6,7,4,8,2,3,5,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,2,5,8,3,7,1,4]=>[1,6,7,2,3,5,4,8]=>[4,5,7,6,2,3,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[1,6,5,7,3,4,2,8]=>[1,2,6,4,7,3,5,8]=>[2,6,4,7,3,5,8,1]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[1,5,2,7,4,6,3,8]=>[1,2,5,4,7,3,6,8]=>[2,6,4,3,7,5,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[5,2,1,8,7,6,3,4]=>[1,5,7,3,2,4,8,6]=>[5,4,6,2,8,3,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[7,1,3,8,4,6,2,5]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,8,6,1,7,5]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,7,3,5,8,6,1,4]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,2,4,7,8,6,1,5]=>[1,3,4,7,2,5,8,6]=>[5,2,3,6,8,4,7,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[1,5,4,6,2,7,3,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[5,2,4,7,1,8,3,6]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,6,4,1,8,7,2]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,3,5,6,8,4,2,1]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,6,1,5,8,4,7,3]=>[1,2,6,4,5,8,3,7]=>[2,7,4,5,3,8,6,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[2,7,6,5,8,3,4,1]=>[1,2,7,4,5,8,3,6]=>[2,7,4,5,8,3,6,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[5,7,1,6,3,8,4,2]=>[1,5,3,2,7,4,6,8]=>[4,3,6,2,7,5,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,1,4,7,2,8,6,3]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,1,4,6,8,5,7,2]=>[1,3,4,6,5,8,2,7]=>[7,2,3,5,4,8,6,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[6,3,4,5,7,1,8,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,5,4,6,1,7,8,3]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,2,1,4,3,6,5,8]=>[1,7,5,3,2,4,6,8]=>[5,4,6,3,7,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[7,3,4,1,2,6,5,8]=>[1,7,5,2,3,4,6,8]=>[4,5,6,3,7,2,8,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[7,4,3,2,1,6,5,8]=>[1,7,5,2,4,3,6,8]=>[4,6,5,3,7,2,8,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[6,7,3,2,5,4,8,1]=>[1,6,4,2,7,8,3,5]=>[4,7,3,8,2,5,6,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[1,8,4,5,2,3,7,6]=>[1,2,8,6,3,4,5,7]=>[2,5,6,7,4,8,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[7,3,5,1,6,2,4,8]=>[1,7,4,2,3,5,6,8]=>[4,5,3,6,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[7,2,1,5,6,3,4,8]=>[1,7,4,5,6,3,2,8]=>[7,6,3,4,5,2,8,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[7,3,6,1,5,4,2,8]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,4,6,5,1,3,2,8]=>[1,7,2,4,5,3,6,8]=>[3,6,4,5,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,8,6,4,3,7,2,5]=>[1,2,8,5,3,6,7,4]=>[2,5,8,4,6,7,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[6,4,7,5,1,3,8,2]=>[1,6,3,7,8,2,4,5]=>[6,3,7,8,2,4,5,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[2,7,8,4,3,6,5,1]=>[1,2,7,5,3,8,4,6]=>[2,5,7,4,8,3,6,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,8,7,5,6,3,4,2]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[2,7,8,5,6,3,4,1]=>[1,2,7,4,5,6,3,8]=>[2,7,4,5,6,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,6,8,5,7,3,1,4]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,5,8,6,7,1,3,4]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,4,8,6,1,7,3,5]=>[1,2,4,6,7,3,8,5]=>[2,6,3,8,4,5,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,4,7,6,1,8,3,2]=>[1,5,2,4,6,8,3,7]=>[3,7,4,2,5,8,6,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,2,1,6,7,8,3,4]=>[1,5,7,3,2,4,6,8]=>[5,4,6,2,7,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,2,1,5,7,3,8,4]=>[1,6,3,2,4,5,7,8]=>[4,3,5,6,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,3,5,1,7,2,8,4]=>[1,6,2,3,5,7,8,4]=>[3,4,8,5,2,6,7,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,5,4,7,2,1,8,3]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,8,4,6,2,7,3,5]=>[1,2,8,5,3,4,6,7]=>[2,5,6,4,7,8,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[1,8,3,2,6,7,4,5]=>[1,2,8,5,6,7,4,3]=>[2,8,7,4,5,6,3,1]=>[[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[4,7,3,2,8,6,5,1]=>[1,4,2,7,5,8,3,6]=>[3,7,2,5,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,8,4,7,2,6,5,3]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[3,4,5,8,1,2,7,6]=>[1,3,5,2,4,8,6,7]=>[4,2,5,3,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[4,3,5,1,8,2,7,6]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,2,1,5,8,3,7,6]=>[1,4,5,8,6,3,2,7]=>[7,6,2,3,5,8,4,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[3,4,6,8,1,7,2,5]=>[1,3,6,7,2,4,8,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,6,5,8,7,2,1,4]=>[1,3,5,7,2,6,4,8]=>[5,2,7,3,6,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,7,5,8,6,2,4,1]=>[1,3,5,6,2,7,4,8]=>[5,2,7,3,4,6,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,8,5,7,6,2,4,3]=>[1,2,8,3,5,6,4,7]=>[2,4,7,5,6,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[1,8,6,7,5,4,2,3]=>[1,2,8,3,6,4,7,5]=>[2,4,6,8,5,7,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[3,4,7,8,1,6,5,2]=>[1,3,7,5,2,4,8,6]=>[5,2,6,4,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,2,1,7,8,6,5,3]=>[1,4,7,5,8,3,2,6]=>[7,6,2,4,8,3,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[2,3,8,1,7,6,5,4]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[2,5,8,7,6,1,4,3]=>[1,2,5,6,3,8,4,7]=>[2,5,7,3,4,8,6,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[2,1,4,3,6,5,8,7,10,9,12,11]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[7,4,6,1,8,3,5,2]=>[1,7,5,8,2,4,3,6]=>[5,7,6,3,8,2,4,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[8,3,4,1,7,5,6,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[4,8,3,1,7,5,6,2]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[1,4,6,2,7,5,8,3]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,7,5,2,6,8,4,3]=>[1,2,7,4,3,5,6,8]=>[2,5,4,6,7,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[3,6,7,5,1,8,4,2]=>[1,3,7,4,5,2,6,8]=>[6,2,4,5,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,7,5,1,8,4,3,2]=>[1,6,4,2,7,3,5,8]=>[4,6,3,7,2,5,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,7,5,3,1,8,4,2]=>[1,6,8,2,7,4,3,5]=>[4,7,6,8,2,5,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[8,4,2,1,6,7,5,3]=>[1,8,3,2,4,5,6,7]=>[4,3,5,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,8,4,2,6,7,5,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,8,4,1,6,7,5,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,7,5,1,6,8,4,3]=>[1,2,7,4,3,5,6,8]=>[2,5,4,6,7,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,4,6,1,7,5,8,3]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,7,1,6,5,8,2,3]=>[1,4,6,8,3,2,7,5]=>[6,5,2,8,3,7,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[4,8,2,6,5,7,1,3]=>[1,4,6,7,2,8,3,5]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,4,1,2,6,7,5,3]=>[1,8,3,2,4,5,6,7]=>[4,3,5,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[4,3,1,2,7,6,8,5]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,5,1,2,7,6,8,4]=>[1,3,2,5,7,8,4,6]=>[3,2,7,4,8,5,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,7,1,5,8,2,3,4]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,7,6,1,5,8,3,4]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[7,6,1,5,8,3,2,4]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,1,6,5,8,2,4,3]=>[1,7,4,5,8,3,6,2]=>[8,6,3,4,7,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[3,5,2,1,7,6,8,4]=>[1,3,2,5,7,8,4,6]=>[3,2,7,4,8,5,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,7,6,2,5,8,3,4]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[8,3,1,5,7,6,2,4]=>[1,8,4,5,7,2,3,6]=>[6,7,3,4,8,5,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[6,2,4,1,7,5,8,3]=>[1,6,5,7,8,3,4,2]=>[8,6,7,3,2,4,5,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[7,1,6,4,8,2,5,3]=>[1,7,5,8,3,6,2,4]=>[7,5,8,3,6,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[8,2,6,4,7,1,5,3]=>[1,8,3,6,2,4,5,7]=>[5,3,6,7,4,8,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[7,6,2,5,8,3,1,4]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,3,5,7,6,2,1,4]=>[1,8,4,7,2,3,5,6]=>[5,6,3,7,8,4,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[5,2,1,3,7,6,8,4]=>[1,5,7,8,4,3,2,6]=>[7,6,5,2,8,3,4,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[6,1,4,2,7,5,8,3]=>[1,6,5,7,8,3,4,2]=>[8,6,7,3,2,4,5,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[8,2,6,5,7,1,4,3]=>[1,8,3,6,2,4,5,7]=>[5,3,6,7,4,8,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[3,6,8,2,5,7,1,4]=>[1,3,8,4,2,6,7,5]=>[5,2,4,8,6,7,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[8,3,2,5,7,6,1,4]=>[1,8,4,5,7,2,3,6]=>[6,7,3,4,8,5,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[4,1,3,2,7,6,8,5]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,4,2,3,7,6,8,5]=>[1,2,4,3,5,7,8,6]=>[2,4,3,5,8,6,7,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,4,1,3,7,6,8,5]=>[1,2,4,3,5,7,8,6]=>[2,4,3,5,8,6,7,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,8,2,3,5,7,1,4]=>[1,6,7,2,8,4,3,5]=>[4,7,6,8,2,3,5,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,7,1,3,5,8,2,4]=>[1,6,8,4,3,2,7,5]=>[6,5,4,8,2,7,3,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[8,3,5,7,6,1,2,4]=>[1,8,4,7,2,3,5,6]=>[5,6,3,7,8,4,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[5,1,2,3,7,6,8,4]=>[1,5,7,8,4,3,2,6]=>[7,6,5,2,8,3,4,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[3,1,2,4,7,6,8,5]=>[1,3,2,4,5,7,8,6]=>[3,2,4,5,8,6,7,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[8,1,2,4,3,6,5,7]=>[1,8,7,5,3,2,4,6]=>[6,5,7,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[8,1,3,2,4,5,7,6]=>[1,8,6,5,4,2,3,7]=>[6,7,5,4,3,8,2,1]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[2,7,8,3,4,5,6,1]=>[1,2,7,6,5,4,3,8]=>[2,7,6,5,4,3,8,1]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[4,7,8,5,6,1,2,3]=>[1,4,5,6,2,7,3,8]=>[5,7,2,3,4,6,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,6,2,8,4,5,1,7]=>[1,3,2,6,5,4,8,7]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,3,6,7,4,5,8,1]=>[1,2,3,6,5,4,7,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,6,5,8,7,1,2,3]=>[1,4,8,3,5,7,2,6]=>[7,4,2,5,8,6,3,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[6,4,5,1,7,8,2,3]=>[1,6,8,3,5,7,2,4]=>[7,4,8,5,2,6,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[7,4,1,2,3,8,5,6]=>[1,7,5,3,2,4,6,8]=>[5,4,6,3,7,2,8,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[2,6,4,8,3,7,5,1]=>[1,2,6,7,5,3,4,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[2,6,5,8,7,3,4,1]=>[1,2,6,3,5,7,4,8]=>[2,4,7,5,3,6,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[2,5,6,7,8,3,4,1]=>[1,2,5,8,3,6,4,7]=>[2,5,7,3,6,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,6,4,8,1,7,2,3]=>[1,5,2,6,7,3,4,8]=>[3,6,7,2,4,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,6,3,8,1,2,7,4]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,4,6,7,2,8,1,5]=>[1,3,6,8,5,2,4,7]=>[6,2,7,5,3,8,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,4,5,2,7,8,1,6]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,4,2,5,6,8,1,7]=>[1,3,2,4,5,6,8,7]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,1,2,7,8,6,4,3]=>[1,5,8,3,2,4,7,6]=>[5,4,6,2,8,7,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[4,7,1,2,8,6,5,3]=>[1,4,2,7,5,8,3,6]=>[3,7,2,5,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,8,7,1,5,3,2,4]=>[1,6,3,7,2,8,4,5]=>[5,3,7,8,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,8,1,6,3,5,2,4]=>[1,7,2,8,4,6,5,3]=>[3,8,5,7,6,2,4,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,8,1,3,6,5,2,4]=>[1,7,2,8,4,3,5,6]=>[3,6,5,7,8,2,4,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,8,3,6,5,2,1,4]=>[1,7,2,8,4,6,3,5]=>[3,7,5,8,6,2,4,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[1,7,3,4,8,6,5,2]=>[1,2,7,5,8,3,4,6]=>[2,6,7,4,8,3,5,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[4,2,7,1,8,6,5,3]=>[1,4,2,3,7,5,8,6]=>[3,4,2,6,8,5,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,8,2,3,6,5,1,4]=>[1,7,2,8,4,3,5,6]=>[3,6,5,7,8,2,4,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,5,7,1,2,6,3,4]=>[1,8,4,2,5,3,7,6]=>[4,6,3,5,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[6,8,7,2,5,3,1,4]=>[1,6,3,7,2,8,4,5]=>[5,3,7,8,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,2,4,8,7,1,5,3]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,6,8,3,4,7,5,2]=>[1,2,6,7,5,4,3,8]=>[2,7,6,5,3,4,8,1]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[6,2,4,8,1,7,5,3]=>[1,6,7,5,2,3,4,8]=>[5,6,7,4,2,3,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,8,2,1,7,3,5,4]=>[1,6,3,2,8,4,5,7]=>[4,3,6,7,2,8,5,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,5,7,2,1,6,3,4]=>[1,8,4,2,5,3,7,6]=>[4,6,3,5,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,5,7,1,2,3,6,4]=>[1,8,4,2,5,3,7,6]=>[4,6,3,5,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,7,6,2,1,4,3,5]=>[1,8,5,2,7,3,6,4]=>[4,6,8,3,7,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[8,5,7,2,3,1,6,4]=>[1,8,4,2,5,3,7,6]=>[4,6,3,5,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[5,8,4,2,7,1,6,3]=>[1,5,7,6,2,8,3,4]=>[5,7,8,2,4,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,8,7,5,3,4,6,2]=>[1,2,8,3,7,6,4,5]=>[2,4,7,8,6,5,3,1]=>[[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[1,8,7,3,5,4,6,2]=>[1,2,8,3,7,6,4,5]=>[2,4,7,8,6,5,3,1]=>[[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[8,5,2,7,3,1,6,4]=>[1,8,4,7,6,2,5,3]=>[6,8,3,7,5,4,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[8,7,6,2,4,3,1,5]=>[1,8,5,4,2,7,3,6]=>[5,7,4,3,8,6,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[8,7,6,1,2,4,3,5]=>[1,8,5,2,7,3,6,4]=>[4,6,8,3,7,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[8,7,6,1,4,2,3,5]=>[1,8,5,4,2,7,3,6]=>[5,7,4,3,8,6,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[8,7,6,4,1,3,2,5]=>[1,8,5,2,7,3,6,4]=>[4,6,8,3,7,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[5,8,4,7,2,1,6,3]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,8,7,5,4,3,6,2]=>[1,2,8,3,7,6,4,5]=>[2,4,7,8,6,5,3,1]=>[[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[6,8,7,3,2,5,1,4]=>[1,6,5,2,8,4,3,7]=>[4,7,6,3,2,8,5,1]=>[[[[.,[[.,.],.]],.],[[.,.],.]],.]
[6,8,1,7,3,2,5,4]=>[1,6,2,8,4,7,5,3]=>[3,8,5,7,2,6,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[8,5,7,1,3,2,6,4]=>[1,8,4,2,5,3,7,6]=>[4,6,3,5,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[5,8,4,7,1,2,6,3]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,8,4,1,7,2,6,3]=>[1,5,7,6,2,8,3,4]=>[5,7,8,2,4,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,4,7,1,6,2,3]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,2,5,6,7,4,1,3]=>[1,8,3,5,7,2,4,6]=>[6,3,7,4,8,5,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[4,8,5,7,1,6,2,3]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,5,7,1,2,6,3]=>[1,4,7,6,2,8,3,5]=>[5,7,2,8,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[4,8,5,1,7,2,6,3]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[8,5,3,7,1,2,6,4]=>[1,8,4,7,6,2,5,3]=>[6,8,3,7,5,4,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[6,8,1,3,7,2,5,4]=>[1,6,2,8,4,3,5,7]=>[3,6,5,7,2,8,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,6,2,8,1,7,5,3]=>[1,4,8,3,2,6,7,5]=>[5,4,2,8,6,7,3,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[1,6,4,8,3,7,5,2]=>[1,2,6,7,5,3,4,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[1,8,7,4,5,3,6,2]=>[1,2,8,3,7,6,4,5]=>[2,4,7,8,6,5,3,1]=>[[.,[[.,[[[.,[.,.]],.],.]],.]],.]
[4,8,5,7,2,1,6,3]=>[1,4,7,6,2,8,3,5]=>[5,7,2,8,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[8,5,3,7,2,1,6,4]=>[1,8,4,7,6,2,5,3]=>[6,8,3,7,5,4,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[8,7,6,3,1,4,2,5]=>[1,8,5,2,7,3,6,4]=>[4,6,8,3,7,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[8,7,6,1,3,2,4,5]=>[1,8,5,3,6,2,7,4]=>[6,4,8,3,5,7,2,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[4,8,5,2,7,1,6,3]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[1,8,7,4,3,5,6,2]=>[1,2,8,3,7,6,5,4]=>[2,4,8,7,6,5,3,1]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.]
[1,8,7,3,4,5,6,2]=>[1,2,8,3,7,6,5,4]=>[2,4,8,7,6,5,3,1]=>[[.,[[.,[[[[.,.],.],.],.]],.]],.]
[8,2,4,5,7,1,6,3]=>[1,8,3,4,5,7,6,2]=>[8,3,4,5,7,6,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[8,5,2,3,7,1,6,4]=>[1,8,4,3,2,5,7,6]=>[5,4,3,6,8,7,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[6,3,1,5,4,2,8,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,4,2,1,7,6,3]=>[1,8,3,4,2,5,6,7]=>[5,3,4,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[6,5,4,2,3,1,8,7]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,5,4,3,1,2,8,7]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,5,4,1,3,2,8,7]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,5,4,1,2,7,6,3]=>[1,8,3,4,2,5,6,7]=>[5,3,4,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[8,7,4,1,6,3,5,2]=>[1,8,2,7,5,6,3,4]=>[3,7,8,5,6,4,2,1]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[8,7,4,1,6,5,3,2]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,5,4,1,3,7,6,2]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,5,4,3,1,7,6,2]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,1,8,5,3,7,6,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[8,3,2,5,1,7,4,6]=>[1,8,6,7,4,5,2,3]=>[7,8,5,6,3,4,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[8,5,4,3,1,7,2,6]=>[1,8,6,7,2,5,3,4]=>[5,7,8,6,3,4,2,1]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[8,5,4,1,3,7,2,6]=>[1,8,6,7,2,5,3,4]=>[5,7,8,6,3,4,2,1]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[8,7,6,5,2,1,4,3]=>[1,8,3,6,2,7,4,5]=>[5,3,7,8,4,6,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[8,7,4,3,6,2,1,5]=>[1,8,5,6,2,7,3,4]=>[5,7,8,3,4,6,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[8,3,2,7,6,4,1,5]=>[1,8,5,6,4,7,2,3]=>[7,8,5,3,4,6,2,1]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[2,1,8,7,6,4,3,5]=>[1,2,3,8,5,6,4,7]=>[2,3,7,5,6,8,4,1]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[2,1,8,7,6,4,5,3]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[8,3,2,7,6,4,5,1]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[8,7,4,3,6,2,5,1]=>[1,8,2,7,5,6,3,4]=>[3,7,8,5,6,4,2,1]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[8,7,6,5,2,4,3,1]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[8,5,4,2,3,7,6,1]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,7,4,2,6,5,3,1]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,7,4,2,6,3,5,1]=>[1,8,2,7,5,6,3,4]=>[3,7,8,5,6,4,2,1]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[8,3,1,7,6,4,2,5]=>[1,8,5,6,4,7,2,3]=>[7,8,5,3,4,6,2,1]=>[[[[[.,[.,.]],.],[.,[.,.]]],.],.]
[8,3,1,7,6,4,5,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[8,3,1,7,6,5,4,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[8,3,1,5,4,7,6,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,1,5,4,7,2,6]=>[1,8,6,7,2,3,4,5]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[8,3,1,7,6,5,2,4]=>[1,8,4,7,2,3,5,6]=>[5,6,3,7,8,4,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[8,5,4,2,3,7,1,6]=>[1,8,6,7,2,5,3,4]=>[5,7,8,6,3,4,2,1]=>[[[[.,[[.,[.,.]],.]],[.,.]],.],.]
[8,3,2,5,4,7,1,6]=>[1,8,6,7,2,3,4,5]=>[5,6,7,8,3,4,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[8,3,2,7,6,5,1,4]=>[1,8,4,7,2,3,5,6]=>[5,6,3,7,8,4,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[8,7,4,3,6,5,1,2]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,7,6,5,3,1,4,2]=>[1,8,2,7,4,5,3,6]=>[3,7,5,6,8,4,2,1]=>[[[.,[[[.,.],[.,[.,.]]],.]],.],.]
[8,7,6,5,1,3,4,2]=>[1,8,2,7,4,5,3,6]=>[3,7,5,6,8,4,2,1]=>[[[.,[[[.,.],[.,[.,.]]],.]],.],.]
[8,7,6,5,1,4,3,2]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[8,7,6,5,4,1,3,2]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[8,7,4,3,6,1,5,2]=>[1,8,2,7,5,6,3,4]=>[3,7,8,5,6,4,2,1]=>[[[.,[[[.,[.,.]],[.,.]],.]],.],.]
[2,1,8,7,6,3,5,4]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[8,7,6,5,1,2,4,3]=>[1,8,3,6,2,7,4,5]=>[5,3,7,8,4,6,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[7,4,3,1,8,6,5,2]=>[1,7,5,8,2,4,3,6]=>[5,7,6,3,8,2,4,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,6,5,1,8,4,3,2]=>[1,7,3,5,8,2,6,4]=>[6,3,8,4,7,2,5,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,5,3,2,7,6,4,8]=>[1,2,5,7,4,3,6,8]=>[2,6,5,3,7,4,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[5,3,2,1,8,7,6,4]=>[1,5,8,4,2,3,6,7]=>[5,6,4,2,7,8,3,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[6,4,1,2,8,5,3,7]=>[1,6,5,8,7,3,2,4]=>[7,6,8,3,2,5,4,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[4,3,1,2,8,6,5,7]=>[1,4,2,3,5,8,7,6]=>[3,4,2,5,8,7,6,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[7,1,5,6,8,2,3,4]=>[1,7,3,5,8,4,6,2]=>[8,3,6,4,7,2,5,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,4,1,6,8,5,2,3]=>[1,7,2,4,6,5,8,3]=>[3,8,4,6,5,2,7,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[5,2,3,1,8,6,7,4]=>[1,5,8,4,2,3,6,7]=>[5,6,4,2,7,8,3,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[1,6,2,5,7,3,4,8]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,2,1,5,8,7,3,4]=>[1,6,7,3,2,4,5,8]=>[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,3,1,5,8,6,2,4]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,2,5,1,8,4,7,3]=>[1,6,4,2,3,5,8,7]=>[4,5,3,6,2,8,7,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[7,3,1,4,8,6,2,5]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,2,1,4,8,7,3,5]=>[1,6,7,3,2,4,5,8]=>[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,6,2,4,7,3,5,8]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,4,1,3,8,5,2,6]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,5,1,3,8,4,2,6]=>[1,7,2,5,8,6,4,3]=>[3,8,7,4,6,2,5,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,6,1,4,8,3,2,5]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,2,1,3,8,7,5,6]=>[1,4,3,2,5,8,6,7]=>[4,3,2,5,7,8,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[2,6,1,4,7,8,3,5]=>[1,2,6,8,5,7,3,4]=>[2,7,8,5,3,6,4,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[7,4,5,2,3,1,8,6]=>[1,7,8,6,2,4,3,5]=>[5,7,6,8,4,2,3,1]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[8,6,7,3,5,2,4,1]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,3,5,2,4,1,8,7]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[5,2,4,1,6,3,8,7]=>[1,5,6,3,4,2,7,8]=>[6,4,5,2,3,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,1,6,3,5,2,8,7]=>[1,4,3,6,2,5,7,8]=>[5,3,2,6,4,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[6,3,4,1,5,2,8,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,2,7,3,4,1,8,6]=>[1,5,4,3,7,8,6,2]=>[8,4,3,2,7,5,6,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[6,2,8,5,7,3,4,1]=>[1,6,3,8,2,4,5,7]=>[5,3,6,7,2,8,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[7,3,4,1,5,2,8,6]=>[1,7,8,6,2,3,4,5]=>[5,6,7,8,4,2,3,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[4,1,7,3,5,2,8,6]=>[1,4,3,7,8,6,2,5]=>[7,3,2,8,6,4,5,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[3,1,8,6,7,4,5,2]=>[1,3,8,2,4,6,5,7]=>[4,2,5,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,1,8,6,7,3,5,2]=>[1,4,6,3,8,2,5,7]=>[6,4,2,7,3,8,5,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[8,6,7,3,4,1,5,2]=>[1,8,2,6,3,7,5,4]=>[3,5,8,7,4,6,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[8,5,6,2,7,3,4,1]=>[1,8,2,5,7,4,3,6]=>[3,7,6,4,8,5,2,1]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]
[5,1,8,4,7,3,6,2]=>[1,5,7,6,3,8,2,4]=>[7,5,8,2,4,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,1,8,5,7,4,6,2]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[2,1,8,5,7,4,6,3]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[3,1,7,4,6,2,8,5]=>[1,3,7,8,5,6,2,4]=>[7,2,8,5,6,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,1,7,3,6,2,8,5]=>[1,4,3,7,8,5,6,2]=>[8,3,2,6,7,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[5,1,7,3,6,2,8,4]=>[1,5,6,2,3,7,8,4]=>[4,5,8,2,3,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,2,7,3,5,1,8,4]=>[1,6,2,3,7,8,4,5]=>[3,4,7,8,2,5,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,8,4,7,3,5,1]=>[1,6,3,8,2,4,5,7]=>[5,3,6,7,2,8,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,4,7,3,6,2,5,1]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[6,2,5,1,7,3,8,4]=>[1,6,3,5,7,8,4,2]=>[8,3,7,4,2,5,6,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,2,4,1,7,3,8,6]=>[1,5,7,8,6,3,4,2]=>[8,6,7,2,5,3,4,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[8,5,7,3,6,2,4,1]=>[1,8,2,5,6,3,7,4]=>[3,6,8,4,5,7,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,5,7,4,6,2,3,1]=>[1,8,2,5,6,3,7,4]=>[3,6,8,4,5,7,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,4,6,2,3,1,8,5]=>[1,7,8,5,3,6,2,4]=>[7,5,8,4,6,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[4,2,3,1,7,5,8,6]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,5,6,2,3,1,7,4]=>[1,8,4,2,5,3,6,7]=>[4,6,3,5,7,8,2,1]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[7,4,8,5,6,2,3,1]=>[1,7,3,8,2,4,5,6]=>[5,3,6,7,8,2,4,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[8,5,6,2,4,1,7,3]=>[1,8,3,6,2,5,4,7]=>[5,3,7,6,4,8,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[4,1,5,2,8,6,7,3]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[2,1,6,3,8,5,7,4]=>[1,2,3,6,5,8,4,7]=>[2,3,7,5,4,8,6,1]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[4,1,6,2,8,5,7,3]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,4,6,2,5,1,7,3]=>[1,8,3,6,2,4,5,7]=>[5,3,6,7,4,8,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[7,3,8,4,6,2,5,1]=>[1,7,5,6,2,3,8,4]=>[5,6,8,3,4,2,7,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[8,4,5,1,6,2,7,3]=>[1,8,3,5,6,2,4,7]=>[6,3,7,4,5,8,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[5,1,8,4,6,2,7,3]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,1,8,5,6,3,7,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,1,7,4,8,5,6,3]=>[1,2,3,7,6,5,8,4]=>[2,3,8,6,5,4,7,1]=>[[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[7,8,1,3,6,2,5,4]=>[1,7,5,6,2,8,4,3]=>[5,8,7,3,4,2,6,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[3,6,1,4,7,2,5,8]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,8,2,4,5,6,1,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,3,5,6,4,1,2]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,1,4,3,2,7,8]=>[1,5,3,2,6,4,7,8]=>[4,3,6,2,5,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,4,6,8,3,7,5,2]=>[1,2,4,8,3,6,7,5]=>[2,5,3,8,6,7,4,1]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[2,5,8,1,4,7,6,3]=>[1,2,5,4,3,8,6,7]=>[2,5,4,3,7,8,6,1]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]
[3,5,8,4,7,6,1,2]=>[1,3,8,2,5,7,4,6]=>[4,2,7,5,8,6,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[1,6,2,4,7,3,8,5]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[4,6,2,5,3,1,8,7]=>[1,4,5,3,2,6,7,8]=>[5,4,2,3,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[4,7,5,1,3,6,8,2]=>[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,3,6,2,4,1,8]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,7,3,6,1,4,8,2]=>[1,5,2,7,8,3,4,6]=>[3,6,7,2,8,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,4,7,2,5,3,8,6]=>[1,2,4,3,7,8,6,5]=>[2,4,3,8,7,5,6,1]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[4,6,7,8,3,5,1,2]=>[1,4,8,2,6,5,3,7]=>[4,7,2,6,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,6,7,5,8,2,4,3]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,5,6,7,8,1,4,2]=>[1,3,6,2,5,8,4,7]=>[4,2,7,5,3,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,7,5,6,8,4,1,3]=>[1,2,7,3,5,8,4,6]=>[2,4,7,5,8,3,6,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,7,6,8,5,4,1,2]=>[1,3,6,4,8,2,7,5]=>[6,2,4,8,3,7,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,3,8,5,6,7,1,2]=>[1,4,5,6,7,2,3,8]=>[6,7,2,3,4,5,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,1,8,5,4,6,7,2]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,2,8,4,5,6,1,7]=>[1,3,8,7,2,4,5,6]=>[5,2,6,7,8,4,3,1]=>[[[.,.],[[[.,[.,[.,.]]],.],.]],.]
[3,4,7,1,5,2,6,8]=>[1,3,7,6,2,4,5,8]=>[5,2,6,7,4,3,8,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[4,3,7,8,1,2,6,5]=>[1,4,8,5,2,3,7,6]=>[5,6,2,4,8,7,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[4,1,8,3,6,2,5,7]=>[1,4,3,8,7,5,6,2]=>[8,3,2,6,7,5,4,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[7,6,5,8,1,3,4,2]=>[1,7,4,8,2,6,3,5]=>[5,7,3,8,6,2,4,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[1,6,4,3,8,2,5,7]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,1,3,4,8,2,6,5]=>[1,7,6,2,3,4,5,8]=>[4,5,6,7,3,2,8,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[3,6,5,4,1,2,7,8]=>[1,3,5,2,6,4,7,8]=>[4,2,6,3,5,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[2,6,4,1,8,3,7,5]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,3,6,4,8,5,1,2]=>[1,7,2,3,6,5,8,4]=>[3,4,8,6,5,2,7,1]=>[[[.,[.,[[[.,.],.],.]]],[.,.]],.]
[7,2,1,4,8,3,5,6]=>[1,7,5,8,6,3,2,4]=>[7,6,8,3,5,2,4,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[7,2,5,6,3,8,1,4]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,5,2,7,1,8,4,3]=>[1,6,8,3,2,5,4,7]=>[5,4,7,6,2,8,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[5,6,2,7,3,1,4,8]=>[1,5,3,2,6,4,7,8]=>[4,3,6,2,5,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,6,7,4,2,8,1,3]=>[1,5,2,6,8,3,7,4]=>[3,6,8,2,4,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[1,7,5,2,4,8,3,6]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,1,5,2,8,3,4,7]=>[1,6,3,5,8,7,4,2]=>[8,3,7,4,2,6,5,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[1,6,5,4,2,3,8,7]=>[1,2,6,3,5,4,7,8]=>[2,4,6,5,3,7,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[7,6,1,5,3,2,8,4]=>[1,7,8,4,5,3,2,6]=>[7,6,4,5,8,2,3,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[7,5,6,4,1,2,8,3]=>[1,7,8,3,6,2,5,4]=>[6,4,8,7,5,2,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[7,4,6,1,2,5,3,8]=>[1,7,3,6,5,2,4,8]=>[6,3,7,5,4,2,8,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[7,1,4,2,5,3,6,8]=>[1,7,6,3,4,2,5,8]=>[6,4,5,7,3,2,8,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[6,8,1,4,2,5,7,3]=>[1,6,5,2,8,3,4,7]=>[4,6,7,3,2,8,5,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[1,6,3,7,5,4,2,8]=>[1,2,6,4,7,3,5,8]=>[2,6,4,7,3,5,8,1]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[6,8,1,3,7,5,4,2]=>[1,6,5,7,4,3,2,8]=>[7,6,5,3,2,4,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[7,1,3,5,6,4,2,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,1,6,4,5,2,8]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,4,6,3,1,5,2,8]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,2,4,1,5,3,6,8]=>[1,7,6,3,4,2,5,8]=>[6,4,5,7,3,2,8,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[7,2,3,5,4,1,6,8]=>[1,7,6,2,3,4,5,8]=>[4,5,6,7,3,2,8,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[1,5,7,2,3,8,6,4]=>[1,2,5,3,7,6,8,4]=>[2,4,8,3,6,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,1,8,2,3,6,7,4]=>[1,5,3,8,4,2,6,7]=>[6,3,5,2,7,8,4,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[6,8,2,3,5,4,7,1]=>[1,6,4,3,2,8,5,7]=>[5,4,3,7,2,8,6,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[6,8,2,4,1,5,7,3]=>[1,6,5,2,8,3,4,7]=>[4,6,7,3,2,8,5,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[2,6,3,5,7,1,4,8]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,5,3,6,8,4,7,1]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,1,4,7,8,5,6,3]=>[1,2,3,4,7,6,5,8]=>[2,3,4,7,6,5,8,1]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[2,5,3,7,6,1,8,4]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,5,7,4,1,6,2,8]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[5,3,4,1,8,6,7,2]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,2,8,4,6,1,7,3]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,2,8,6,5,3,7,1]=>[1,4,6,3,8,2,5,7]=>[6,4,2,7,3,8,5,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[4,2,8,5,7,6,3,1]=>[1,4,5,7,3,8,2,6]=>[7,5,2,3,8,4,6,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[5,3,8,7,6,2,4,1]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,8,4,7,6,2,1,3]=>[1,5,6,2,8,3,4,7]=>[4,6,7,2,3,8,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,8,7,4,3,6,1,2]=>[1,5,3,7,2,8,4,6]=>[5,3,7,2,8,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,4,8,3,1,7,2,5]=>[1,6,7,2,4,3,8,5]=>[4,6,5,8,2,3,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,3,8,7,2,5,1,4]=>[1,6,5,2,3,8,4,7]=>[4,5,7,3,2,8,6,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[5,8,3,7,1,6,4,2]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,1,3,8,6,7,2,4]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,5,3,7,8,6,2,4]=>[1,2,5,8,4,7,3,6]=>[2,7,5,3,8,6,4,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[5,8,7,4,1,6,2,3]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,8,5,1,2,3,7,4]=>[1,6,3,5,2,8,4,7]=>[5,3,7,4,2,8,6,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,8,5,3,1,2,7,4]=>[1,6,2,8,4,3,5,7]=>[3,6,5,7,2,8,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,5,1,2,7,6,3,8]=>[1,4,2,5,7,3,6,8]=>[3,6,2,4,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,5,7,1,2,8,6,4]=>[1,3,7,6,8,4,2,5]=>[7,2,6,8,4,3,5,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,6,2,7,5,1,4,8]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,2,6,1,7,3,5,8]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,5,3,1,7,6,2,8]=>[1,4,2,5,7,3,6,8]=>[3,6,2,4,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,1,4,7,5,6,2,8]=>[1,3,4,7,2,5,6,8]=>[5,2,3,6,7,4,8,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[3,4,6,5,8,7,1,2]=>[1,3,6,7,2,4,5,8]=>[5,2,6,7,3,4,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,1,4,5,8,6,7,2]=>[1,3,4,5,8,2,6,7]=>[6,2,3,4,7,8,5,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[3,4,6,8,5,2,7,1]=>[1,3,6,2,4,8,5,7]=>[4,2,5,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,2,5,6,1,8,7,3]=>[1,4,6,8,3,5,2,7]=>[7,5,2,6,3,8,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[2,1,7,5,8,6,4,3]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,2,7,5,3,8,6,4]=>[1,2,3,7,6,8,4,5]=>[2,3,7,8,5,4,6,1]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]
[6,1,3,7,5,2,4,8]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,1,2,6,8,5,4,7]=>[1,3,2,4,6,5,8,7]=>[3,2,4,6,5,8,7,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[1,3,7,2,4,8,6,5]=>[1,2,3,7,6,8,5,4]=>[2,3,8,7,5,4,6,1]=>[[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[2,7,4,1,5,8,6,3]=>[1,2,7,6,8,3,4,5]=>[2,6,7,8,4,3,5,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[2,3,7,1,5,8,6,4]=>[1,2,3,7,6,8,4,5]=>[2,3,7,8,5,4,6,1]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]
[2,1,6,8,3,4,7,5]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,3,7,4,5,1,8,2]=>[1,6,2,3,7,8,4,5]=>[3,4,7,8,2,5,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,6,3,7,5,8,1,4]=>[1,2,6,8,4,7,3,5]=>[2,7,5,8,3,6,4,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[4,7,2,3,6,8,1,5]=>[1,4,3,2,7,5,6,8]=>[4,3,2,6,7,5,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[5,7,4,6,2,8,1,3]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,8,4,6,1,7,2]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,5,2,4,1,6,7,3]=>[1,8,3,2,5,4,6,7]=>[4,3,6,5,7,8,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[4,2,8,3,6,7,1,5]=>[1,4,3,8,5,6,7,2]=>[8,3,2,5,6,7,4,1]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[5,8,4,7,3,1,6,2]=>[1,5,3,4,7,6,2,8]=>[7,3,4,2,6,5,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[4,6,8,3,1,7,5,2]=>[1,4,3,8,2,6,7,5]=>[5,3,2,8,6,7,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[6,3,8,2,7,1,5,4]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,4,1,6,2,3,8]=>[1,5,6,2,7,3,4,8]=>[4,6,7,2,3,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,5,4,1,2,6,3,7]=>[1,8,7,3,4,2,5,6]=>[6,4,5,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,6,2,8,5,3,7,4]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,6,3,7,1,2,4,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,6,3,7,2,8,4,5]=>[1,2,6,8,5,3,4,7]=>[2,6,7,5,3,8,4,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[6,3,2,7,8,5,1,4]=>[1,6,5,8,4,7,2,3]=>[7,8,5,3,2,6,4,1]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[4,8,3,5,6,1,7,2]=>[1,4,5,6,2,8,3,7]=>[5,7,2,3,4,8,6,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,8,4,7,1,5,3,2]=>[1,6,5,2,8,3,4,7]=>[4,6,7,3,2,8,5,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[6,8,4,7,2,5,3,1]=>[1,6,5,2,8,3,4,7]=>[4,6,7,3,2,8,5,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[5,4,8,7,2,6,3,1]=>[1,5,2,4,7,3,8,6]=>[3,6,4,2,8,5,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,4,8,7,1,6,3,2]=>[1,5,2,4,7,3,8,6]=>[3,6,4,2,8,5,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,3,8,7,6,1,2,4]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,8,3,7,5,1,2,6]=>[1,4,7,2,8,6,3,5]=>[4,7,2,8,6,3,5,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[8,3,4,6,5,1,2,7]=>[1,8,7,2,3,4,6,5]=>[4,5,6,8,7,3,2,1]=>[[[[.,[.,[.,[[.,.],.]]]],.],.],.]
[4,5,8,7,6,1,2,3]=>[1,4,7,2,5,6,3,8]=>[4,7,2,5,6,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,5,8,2,7,6,4,1]=>[1,3,8,2,5,7,4,6]=>[4,2,7,5,8,6,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[3,5,8,1,7,6,4,2]=>[1,3,8,2,5,7,4,6]=>[4,2,7,5,8,6,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[2,5,8,1,7,6,4,3]=>[1,2,5,7,4,3,8,6]=>[2,6,5,3,8,4,7,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[2,5,8,7,1,6,3,4]=>[1,2,5,3,8,4,7,6]=>[2,4,6,3,8,7,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[2,4,8,7,1,6,3,5]=>[1,2,4,7,3,8,5,6]=>[2,5,3,7,8,4,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[8,2,4,6,1,5,3,7]=>[1,8,7,3,4,6,5,2]=>[8,4,5,7,6,3,2,1]=>[[[[[.,.],[.,[[.,.],.]]],.],.],.]
[8,1,4,6,2,5,3,7]=>[1,8,7,3,4,6,5,2]=>[8,4,5,7,6,3,2,1]=>[[[[[.,.],[.,[[.,.],.]]],.],.],.]
[1,4,8,7,2,6,3,5]=>[1,2,4,7,3,8,5,6]=>[2,5,3,7,8,4,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,5,8,7,2,6,3,4]=>[1,2,5,3,8,4,7,6]=>[2,4,6,3,8,7,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[1,5,8,2,7,6,4,3]=>[1,2,5,7,4,3,8,6]=>[2,6,5,3,8,4,7,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[2,5,8,3,7,6,4,1]=>[1,2,5,7,4,3,8,6]=>[2,6,5,3,8,4,7,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[1,4,2,8,7,6,5,3]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[1,8,3,2,7,5,4,6]=>[1,2,8,6,5,7,4,3]=>[2,8,7,5,4,6,3,1]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[8,1,3,2,6,5,4,7]=>[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,2,3,1,6,5,4,7]=>[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[2,8,3,1,7,5,4,6]=>[1,2,8,6,5,7,4,3]=>[2,8,7,5,4,6,3,1]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[4,2,1,8,7,6,5,3]=>[1,4,8,3,2,5,7,6]=>[5,4,2,6,8,7,3,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[3,8,2,1,7,5,4,6]=>[1,3,2,8,6,5,7,4]=>[3,2,8,6,5,7,4,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[8,3,2,1,6,5,4,7]=>[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[5,2,8,7,1,6,3,4]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,2,8,1,7,6,4,3]=>[1,5,7,4,2,3,8,6]=>[5,6,4,2,8,3,7,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,3,8,1,7,6,4,2]=>[1,5,7,4,2,3,8,6]=>[5,6,4,2,8,3,7,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,3,8,2,7,6,4,1]=>[1,5,7,4,2,3,8,6]=>[5,6,4,2,8,3,7,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[8,5,6,1,2,4,3,7]=>[1,8,7,3,6,4,2,5]=>[7,4,6,8,5,3,2,1]=>[[[[[.,.],[[.,[.,.]],.]],.],.],.]
[5,8,7,1,2,4,3,6]=>[1,5,2,8,6,4,3,7]=>[3,7,6,2,5,8,4,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,8,2,3,7,5,4,1]=>[1,6,5,7,4,3,2,8]=>[7,6,5,3,2,4,8,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[5,1,8,7,2,6,3,4]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,8,1,7,2,5,3,6]=>[1,4,7,3,2,8,6,5]=>[5,4,2,8,7,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[8,3,1,2,6,5,4,7]=>[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[3,8,1,2,7,5,4,6]=>[1,3,2,8,6,5,7,4]=>[3,2,8,6,5,7,4,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[2,8,1,3,7,5,4,6]=>[1,2,8,6,5,7,4,3]=>[2,8,7,5,4,6,3,1]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[8,2,1,3,6,5,4,7]=>[1,8,7,4,3,2,5,6]=>[6,5,4,7,8,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[8,1,2,3,6,5,4,7]=>[1,8,7,4,3,2,5,6]=>[6,5,4,7,8,3,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[1,8,2,3,7,5,4,6]=>[1,2,8,6,5,7,4,3]=>[2,8,7,5,4,6,3,1]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[3,5,1,8,2,4,7,6]=>[1,3,2,5,4,8,6,7]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[1,4,2,6,5,8,3,7]=>[1,2,4,6,8,7,3,5]=>[2,7,3,8,4,6,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[1,5,2,6,4,8,3,7]=>[1,2,5,4,6,8,7,3]=>[2,8,4,3,5,7,6,1]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[1,2,5,4,7,3,8,6]=>[1,2,3,5,7,8,6,4]=>[2,3,8,4,7,5,6,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[4,1,2,6,3,8,7,5]=>[1,4,6,8,5,3,2,7]=>[7,6,2,5,3,8,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[7,1,5,4,2,8,3,6]=>[1,7,3,5,2,4,6,8]=>[5,3,6,4,7,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,4,7,5,2,8,3,6]=>[1,2,4,5,3,7,6,8]=>[2,5,3,4,7,6,8,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,1,3,5,2,8,4,6]=>[1,7,4,5,2,3,6,8]=>[5,6,3,4,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[7,2,5,1,8,3,4,6]=>[1,7,4,2,3,5,8,6]=>[4,5,3,6,8,2,7,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[1,6,4,2,8,3,7,5]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,2,5,3,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[1,2,8,6,5,3,7,4]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,5,2,8,6,3,7,4]=>[1,2,5,6,3,4,8,7]=>[2,5,6,3,4,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[7,6,2,1,8,3,4,5]=>[1,7,4,2,6,3,5,8]=>[4,6,3,7,5,2,8,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[1,7,5,2,6,3,8,4]=>[1,2,7,8,4,3,5,6]=>[2,6,5,7,8,3,4,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[1,6,2,7,5,3,8,4]=>[1,2,6,3,4,7,8,5]=>[2,4,5,8,3,6,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,5,2,6,3,8,7,4]=>[1,2,5,3,4,6,8,7]=>[2,4,5,3,6,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[1,5,2,7,6,3,8,4]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,6,5,2,7,3,8,4]=>[1,2,6,3,5,7,8,4]=>[2,4,8,5,3,6,7,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[1,5,7,4,2,8,3,6]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,1,2,8,6,3,7,5]=>[1,4,8,5,6,3,2,7]=>[7,6,2,4,5,8,3,1]=>[[[[.,.],.],[[.,[.,[.,.]]],.]],.]
[3,1,8,6,2,4,7,5]=>[1,3,8,5,2,4,6,7]=>[5,2,6,4,7,8,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[4,3,7,1,8,2,5,6]=>[1,4,2,3,7,5,8,6]=>[3,4,2,6,8,5,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,8,7,3,2,4,6,5]=>[1,2,8,5,3,7,6,4]=>[2,5,8,4,7,6,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[1,7,4,2,8,3,6,5]=>[1,2,7,6,3,4,5,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[8,1,5,4,2,7,3,6]=>[1,8,6,7,3,5,2,4]=>[7,5,8,6,3,4,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[8,6,2,1,7,3,4,5]=>[1,8,5,7,4,2,6,3]=>[6,8,5,3,7,4,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[1,8,6,4,2,7,3,5]=>[1,2,8,5,3,6,7,4]=>[2,5,8,4,6,7,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[1,8,5,2,6,3,7,4]=>[1,2,8,4,3,5,6,7]=>[2,5,4,6,7,8,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[1,2,8,5,3,7,6,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,2,6,3,8,7,5,4]=>[1,2,3,6,7,5,8,4]=>[2,3,8,6,4,5,7,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,6,2,7,3,8,5,4]=>[1,2,6,8,4,7,5,3]=>[2,8,5,7,3,6,4,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[1,7,4,2,8,6,3,5]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,1,8,3,2,6,4,5]=>[1,7,4,3,8,5,2,6]=>[7,4,3,6,8,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[7,2,1,8,6,3,4,5]=>[1,7,4,8,5,6,3,2]=>[8,7,3,5,6,2,4,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[1,8,7,3,2,6,4,5]=>[1,2,8,5,3,7,4,6]=>[2,5,7,4,8,6,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[1,2,8,7,5,3,6,4]=>[1,2,3,8,4,7,6,5]=>[2,3,5,8,7,6,4,1]=>[[.,[.,[[.,[[[.,.],.],.]],.]]],.]
[1,2,8,6,3,7,5,4]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,2,7,3,8,6,5,4]=>[1,2,3,7,5,8,4,6]=>[2,3,7,5,8,4,6,1]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[4,1,7,3,6,5,8,2]=>[1,4,3,7,8,2,5,6]=>[6,3,2,7,8,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[5,1,8,7,6,2,4,3]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,7,8,6,2,4,1,3]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,1,6,2,4,3,8]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,4,1,5,2,7,3,8]=>[1,6,7,3,2,4,5,8]=>[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[8,1,4,5,3,7,6,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,1,4,5,3,8,7,2]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,1,4,5,3,7,8,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,1,7,8,6,2,4,3]=>[1,5,6,2,3,7,4,8]=>[4,5,7,2,3,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,1,4,8,3,5,7,2]=>[1,6,5,3,4,8,2,7]=>[7,4,5,3,2,8,6,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[7,1,8,6,3,4,5,2]=>[1,7,5,3,8,2,4,6]=>[6,4,7,3,8,2,5,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[7,1,4,5,3,8,6,2]=>[1,7,6,8,2,3,4,5]=>[5,6,7,8,3,2,4,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[7,1,4,5,3,6,8,2]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,1,4,5,3,6,7,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,3,5,7,2,1,4,8]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,3,5,7,2,1,8,4]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,4,5,7,3,6,1,2]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[5,8,7,6,2,4,1,3]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,8,1,6,2,4,3,7]=>[1,5,2,8,7,3,4,6]=>[3,6,7,2,8,5,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,4,1,5,2,6,3,7]=>[1,8,7,3,2,4,5,6]=>[5,4,6,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[2,3,4,1,8,6,5,7]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[8,3,5,6,2,1,4,7]=>[1,8,7,4,6,2,3,5]=>[6,7,4,8,5,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[2,3,8,6,1,5,7,4]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[2,8,6,7,1,3,5,4]=>[1,2,8,4,7,5,3,6]=>[2,7,4,6,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[8,3,5,7,2,1,6,4]=>[1,8,4,7,6,2,3,5]=>[6,7,3,8,5,4,2,1]=>[[[[.,[.,.]],[[[.,.],.],.]],.],.]
[2,3,8,5,6,1,7,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[8,4,5,6,3,1,7,2]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[7,3,5,6,2,8,1,4]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,7,6,5,1,3,4,8]=>[1,2,7,4,5,3,6,8]=>[2,6,4,5,7,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,7,6,8,1,3,5,4]=>[1,2,7,5,3,6,4,8]=>[2,5,7,4,6,3,8,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[2,7,6,5,8,3,1,4]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[8,7,5,6,1,4,2,3]=>[1,8,3,5,2,7,4,6]=>[5,3,7,4,8,6,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[2,6,4,1,8,5,7,3]=>[1,2,6,5,8,3,4,7]=>[2,6,7,4,3,8,5,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[2,7,1,3,6,5,8,4]=>[1,2,7,8,4,3,5,6]=>[2,6,5,7,8,3,4,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,7,6,8,4,3,1,5]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[2,7,6,1,8,3,4,5]=>[1,2,7,4,3,6,5,8]=>[2,5,4,7,6,3,8,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[7,3,5,1,2,8,4,6]=>[1,7,4,2,3,5,6,8]=>[4,5,3,6,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[8,4,1,5,2,3,7,6]=>[1,8,6,3,2,4,5,7]=>[5,4,6,7,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[7,8,1,6,3,4,2,5]=>[1,7,2,8,5,3,4,6]=>[3,6,7,5,8,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,3,5,7,2,4,1,6]=>[1,8,6,4,7,2,3,5]=>[6,7,4,8,3,5,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[2,3,4,1,8,7,5,6]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,8,6,1,7,3,4,5]=>[1,2,8,5,7,4,3,6]=>[2,7,6,4,8,5,3,1]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]
[2,3,8,1,6,4,7,5]=>[1,2,3,8,5,6,4,7]=>[2,3,7,5,6,8,4,1]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[2,3,8,1,4,5,7,6]=>[1,2,3,8,6,5,4,7]=>[2,3,7,6,5,8,4,1]=>[[.,[.,[[[[.,.],.],[.,.]],.]]],.]
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,1,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[2,1,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[9,1,2,3,4,5,6,7,10,8]=>[1,9,10,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,2,3,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]
[7,1,2,3,4,5,6,9,8]=>[1,7,6,5,4,3,2,8,9]=>[7,6,5,4,3,2,8,9,1]=>[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]
[2,1,9,3,4,5,6,7,8]=>[1,2,3,9,8,7,6,5,4]=>[2,3,9,8,7,6,5,4,1]=>[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.]
[2,8,1,3,4,5,6,7,9]=>[1,2,8,7,6,5,4,3,9]=>[2,8,7,6,5,4,3,9,1]=>[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]
[2,10,1,3,4,5,6,7,8,9]=>[1,2,10,9,8,7,6,5,4,3]=>[2,10,9,8,7,6,5,4,3,1]=>[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]
[2,1,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[8,4,3,6,5,1,7,2]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[8,6,5,4,3,1,7,2]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[1,7,6,5,4,2,3,8]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,8,6,5,2,7,3,4]=>[1,2,8,4,5,3,6,7]=>[2,6,4,5,7,8,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[8,7,5,4,1,6,3,2]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,8,5,4,1,3,6,2]=>[1,7,6,3,5,2,8,4]=>[6,4,8,5,3,2,7,1]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[6,8,5,4,2,1,7,3]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[5,8,6,2,4,1,7,3]=>[1,5,4,2,8,3,6,7]=>[4,6,3,2,7,8,5,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[3,2,8,6,5,1,7,4]=>[1,3,8,4,6,2,5,7]=>[6,2,4,7,5,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,1,3,7,6,2,5,8]=>[1,4,7,5,6,2,3,8]=>[6,7,2,4,5,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,1,7,3,6,2,4,8]=>[1,5,6,2,3,7,4,8]=>[4,5,7,2,3,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,1,6,5,2,4,3,8]=>[1,7,3,6,4,5,2,8]=>[7,3,5,6,4,2,8,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[8,1,7,2,6,3,5,4]=>[1,8,4,2,3,7,5,6]=>[4,5,3,7,8,6,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[7,1,8,2,6,4,3,5]=>[1,7,3,8,5,6,4,2]=>[8,3,7,5,6,2,4,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[4,1,3,8,2,7,5,6]=>[1,4,8,6,7,5,2,3]=>[7,8,2,6,4,5,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,2,1,8,4,7,5,6]=>[1,3,2,4,8,6,7,5]=>[3,2,4,8,6,7,5,1]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]
[4,8,2,7,1,6,5,3]=>[1,4,7,5,2,8,3,6]=>[5,7,2,4,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,7,2,1,6,4,3]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,8,6,1,5,3,4,2]=>[1,7,4,2,8,3,6,5]=>[4,6,3,8,7,2,5,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[8,7,6,1,5,4,3,2]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[1,8,7,2,6,5,3,4]=>[1,2,8,4,3,7,5,6]=>[2,5,4,7,8,6,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[1,7,8,2,5,6,3,4]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,6,7,1,4,5,3,2]=>[1,8,2,6,5,4,3,7]=>[3,7,6,5,4,8,2,1]=>[[[.,[[[[.,.],.],.],[.,.]]],.],.]
[7,6,8,1,4,3,5,2]=>[1,7,5,4,2,6,3,8]=>[5,7,4,3,6,2,8,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[6,5,8,3,2,1,7,4]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[7,5,8,3,1,4,6,2]=>[1,7,6,4,3,8,2,5]=>[7,5,4,8,3,2,6,1]=>[[[[[[.,.],.],[.,.]],.],[.,.]],.]
[8,5,7,3,1,6,4,2]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[1,5,4,8,2,7,3,6]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,4,3,1,5,2,7,8]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,4,3,1,2,6,5,8]=>[1,7,5,2,4,3,6,8]=>[4,6,5,3,7,2,8,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[8,4,3,1,2,5,7,6]=>[1,8,6,5,2,4,3,7]=>[5,7,6,4,3,8,2,1]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]
[1,5,4,2,3,6,7,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,5,1,4,2,3,7,6]=>[1,8,6,3,2,5,4,7]=>[5,4,7,6,3,8,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[7,5,1,4,2,6,3,8]=>[1,7,3,2,5,4,6,8]=>[4,3,6,5,7,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[6,5,1,4,3,2,7,8]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,6,1,3,4,2,7,8]=>[1,5,4,3,2,6,7,8]=>[5,4,3,2,6,7,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[4,6,2,1,5,3,7,8]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,7,2,1,3,6,5,8]=>[1,4,2,7,5,3,6,8]=>[3,6,2,5,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,6,1,2,5,3,7,4]=>[1,8,4,2,6,3,5,7]=>[4,6,3,7,5,8,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[1,7,2,3,6,4,5,8]=>[1,2,7,5,6,4,3,8]=>[2,7,6,4,5,3,8,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[5,8,1,3,2,4,7,6]=>[1,5,2,8,6,4,3,7]=>[3,7,6,2,5,8,4,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,1,3,2,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,1,2,4,3,6,7,8]=>[1,5,3,2,4,6,7,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[6,1,2,3,5,4,7,8]=>[1,6,4,3,2,5,7,8]=>[5,4,3,6,2,7,8,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[7,1,2,3,4,6,5,8]=>[1,7,5,4,3,2,6,8]=>[6,5,4,3,7,2,8,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[8,1,2,3,4,5,7,6]=>[1,8,6,5,4,3,2,7]=>[7,6,5,4,3,8,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[6,7,4,5,1,8,3,2]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,4,7,6,8,1,2,3]=>[1,5,8,3,7,2,4,6]=>[6,4,7,2,8,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,3,7,8,6,1,2,4]=>[1,5,6,2,3,7,4,8]=>[4,5,7,2,3,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,5,6,1,7,8,4,2]=>[1,3,6,8,2,5,7,4]=>[5,2,8,6,3,7,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,5,6,1,8,7,4,3]=>[1,2,5,8,3,6,7,4]=>[2,5,8,3,6,7,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[8,2,4,5,1,6,3,7]=>[1,8,7,3,4,5,2,6]=>[7,4,5,6,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,5,6,8,2,3,7,4]=>[1,2,5,3,6,4,8,7]=>[2,4,6,3,5,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[1,5,6,2,8,4,7,3]=>[1,2,5,8,3,6,4,7]=>[2,5,7,3,6,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[8,1,3,2,5,4,6,7]=>[1,8,7,6,4,2,3,5]=>[6,7,5,8,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[8,2,3,1,5,6,4,7]=>[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[2,4,1,6,8,7,5,3]=>[1,2,4,6,7,5,8,3]=>[2,8,3,6,4,5,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,4,1,6,7,8,5,2]=>[1,3,2,4,6,8,5,7]=>[3,2,4,7,5,8,6,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[5,2,7,8,1,6,3,4]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,7,3,1,5,8,4,2]=>[1,6,8,2,7,4,3,5]=>[4,7,6,8,2,5,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,7,2,8,1,5,3,4]=>[1,6,5,2,7,3,4,8]=>[4,6,7,3,2,5,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,7,1,2,8,4,5,3]=>[1,6,4,2,7,5,8,3]=>[4,8,3,6,2,5,7,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,7,1,3,4,8,5,2]=>[1,6,8,2,7,5,4,3]=>[4,8,7,6,2,5,3,1]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]
[5,2,7,3,4,6,8,1]=>[1,5,4,3,7,8,2,6]=>[7,4,3,2,8,5,6,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[5,1,7,3,4,8,6,2]=>[1,5,4,3,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[5,1,7,8,2,3,6,4]=>[1,5,2,3,7,6,4,8]=>[3,4,7,2,6,5,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,8,1,2,7,4,5,6]=>[1,3,2,8,6,4,5,7]=>[3,2,6,7,5,8,4,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[8,2,1,3,4,6,5,7]=>[1,8,7,5,4,3,2,6]=>[7,6,5,4,8,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[1,8,2,3,4,5,7,6]=>[1,2,8,6,5,4,3,7]=>[2,7,6,5,4,8,3,1]=>[[.,[[[[[.,.],.],.],[.,.]],.]],.]
[5,2,6,4,1,8,7,3]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,2,7,4,8,1,6,3]=>[1,5,8,3,7,6,2,4]=>[7,4,8,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,2,7,4,8,6,1,3]=>[1,5,8,3,7,2,4,6]=>[6,4,7,2,8,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,6,2,3,1,8,7,4]=>[1,5,2,6,8,4,3,7]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,2,1,3,8,7,4]=>[1,5,3,2,6,8,4,7]=>[4,3,7,2,5,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[5,1,6,4,2,8,7,3]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,1,3,2,8,7,4]=>[1,5,2,6,8,4,3,7]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,3,1,2,8,7,4]=>[1,5,2,6,8,4,3,7]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,3,2,1,8,7,4]=>[1,5,2,6,8,4,3,7]=>[3,7,6,2,4,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[6,7,3,8,2,1,5,4]=>[1,6,2,7,5,3,4,8]=>[3,6,7,5,2,4,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,7,3,8,1,2,5,4]=>[1,6,2,7,5,3,4,8]=>[3,6,7,5,2,4,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,1,7,4,8,2,6,3]=>[1,5,8,3,7,6,2,4]=>[7,4,8,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[1,5,7,4,8,3,6,2]=>[1,2,5,8,3,7,6,4]=>[2,5,8,3,7,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[1,5,7,4,8,6,3,2]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[5,1,7,4,8,6,2,3]=>[1,5,8,3,7,2,4,6]=>[6,4,7,2,8,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[6,7,3,8,1,5,2,4]=>[1,6,5,2,7,3,4,8]=>[4,6,7,3,2,5,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,7,1,8,3,5,2,4]=>[1,6,5,3,2,7,4,8]=>[5,4,7,3,2,6,8,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[6,1,7,8,4,2,5,3]=>[1,6,2,3,7,5,4,8]=>[3,4,7,6,2,5,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,7,1,8,3,2,5,4]=>[1,6,2,7,5,3,4,8]=>[3,6,7,5,2,4,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,7,2,8,3,1,5,4]=>[1,6,2,7,5,3,4,8]=>[3,6,7,5,2,4,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,7,2,8,3,5,1,4]=>[1,6,5,3,2,7,4,8]=>[5,4,7,3,2,6,8,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[6,2,7,8,4,1,5,3]=>[1,6,2,3,7,5,4,8]=>[3,4,7,6,2,5,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,2,7,8,1,4,5,3]=>[1,6,4,8,3,7,5,2]=>[8,5,3,7,2,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[5,2,7,1,8,4,6,3]=>[1,5,8,3,7,6,4,2]=>[8,4,7,2,6,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[4,2,1,7,8,5,6,3]=>[1,4,7,6,5,8,3,2]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[4,1,2,7,8,6,5,3]=>[1,4,7,5,8,3,2,6]=>[7,6,2,4,8,3,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[6,2,7,8,5,4,1,3]=>[1,6,4,8,3,7,2,5]=>[7,5,3,8,2,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[5,1,7,2,8,6,4,3]=>[1,5,8,3,7,4,2,6]=>[7,4,6,2,8,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[1,5,7,3,8,6,4,2]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[6,7,1,8,2,5,3,4]=>[1,6,5,2,7,3,4,8]=>[4,6,7,3,2,5,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,7,8,2,4,1,3,5]=>[1,6,2,7,3,8,5,4]=>[3,5,8,7,2,4,6,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,7,8,2,4,3,1,5]=>[1,6,3,8,5,4,2,7]=>[7,3,6,5,2,8,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[1,6,7,8,5,3,4,2]=>[1,2,6,3,7,4,8,5]=>[2,4,6,8,3,5,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,1,7,8,5,4,2,3]=>[1,6,4,8,3,7,2,5]=>[7,5,3,8,2,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[6,7,8,4,1,3,2,5]=>[1,6,3,8,5,2,7,4]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,3,8,5,2,7,4,1]=>[1,6,7,4,5,2,3,8]=>[6,7,4,5,2,3,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,5,2,8,4,7,3,1]=>[1,6,7,3,2,5,4,8]=>[5,4,7,6,2,3,8,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[6,3,4,5,8,7,2,1]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,8,1,4,7,2,3,6]=>[1,5,7,3,2,8,6,4]=>[5,4,8,2,7,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,6,4,8,5,7,1,2]=>[1,3,4,8,2,6,7,5]=>[5,2,3,8,6,7,4,1]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]
[5,1,4,8,6,3,7,2]=>[1,5,6,3,4,8,2,7]=>[7,4,5,2,3,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[6,3,8,4,2,7,1,5]=>[1,6,7,2,3,8,5,4]=>[4,5,8,7,2,3,6,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,6,8,7,1,4,2,5]=>[1,3,8,5,2,6,4,7]=>[5,2,7,4,6,8,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[4,3,8,5,6,7,2,1]=>[1,4,5,6,7,2,3,8]=>[6,7,2,3,4,5,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,8,1,7,6,2,4,3]=>[1,5,6,2,8,3,4,7]=>[4,6,7,2,3,8,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,6,1,2,7,8,5,3]=>[1,4,2,6,8,3,5,7]=>[3,6,2,7,4,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,6,4,2,8,7,5,1]=>[1,3,4,2,6,7,5,8]=>[4,2,3,7,5,6,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,5,2,7,4,8,1,3]=>[1,6,8,3,2,5,4,7]=>[5,4,7,6,2,8,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[5,7,1,4,8,3,2,6]=>[1,5,8,6,3,2,7,4]=>[6,5,8,2,4,7,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[6,3,7,4,2,8,5,1]=>[1,6,8,2,3,7,5,4]=>[4,5,8,7,2,6,3,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[5,3,8,7,4,1,2,6]=>[1,5,4,7,2,3,8,6]=>[5,6,3,2,8,4,7,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,6,1,8,7,3,2,4]=>[1,5,7,2,6,3,4,8]=>[4,6,7,2,5,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,2,7,3,6,8,1]=>[1,5,3,2,4,7,8,6]=>[4,3,5,2,8,6,7,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[7,5,3,6,4,2,8,1]=>[1,7,8,2,5,4,6,3]=>[4,8,6,5,7,2,3,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[8,5,2,6,4,7,3,1]=>[1,8,2,5,4,6,7,3]=>[3,8,5,4,6,7,2,1]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[8,2,6,3,4,7,5,1]=>[1,8,2,3,6,7,5,4]=>[3,4,8,7,5,6,2,1]=>[[[.,[.,[[[.,.],.],[.,.]]]],.],.]
[6,2,7,4,3,5,8,1]=>[1,6,5,3,7,8,2,4]=>[7,4,8,3,2,5,6,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[3,7,6,4,5,2,8,1]=>[1,3,6,2,7,8,4,5]=>[4,2,7,8,3,5,6,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,7,6,5,3,4,8,1]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[7,5,4,1,8,3,2,6]=>[1,7,2,5,8,6,3,4]=>[3,7,8,4,6,2,5,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,7,4,2,1,8,3,6]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,5,8,4,2,7,3,1]=>[1,6,7,3,8,2,5,4]=>[6,4,8,7,2,3,5,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,8,2,6,4,7,3,1]=>[1,5,4,6,7,3,2,8]=>[7,6,3,2,4,5,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[7,8,5,3,2,6,4,1]=>[1,7,4,3,5,2,8,6]=>[6,4,3,5,8,2,7,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[6,8,3,1,7,2,5,4]=>[1,6,2,8,4,3,5,7]=>[3,6,5,7,2,8,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[1,8,6,3,7,5,2,4]=>[1,2,8,4,3,6,5,7]=>[2,5,4,7,6,8,3,1]=>[[.,[[[.,.],[[.,.],[.,.]]],.]],.]
[7,8,1,6,3,2,5,4]=>[1,7,5,3,2,8,4,6]=>[5,4,7,3,8,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[2,8,1,7,3,5,6,4]=>[1,2,8,4,7,6,5,3]=>[2,8,4,7,6,5,3,1]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[3,8,6,1,7,4,5,2]=>[1,3,6,4,2,8,5,7]=>[5,2,4,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,8,1,3,7,2,6,5]=>[1,4,3,2,8,5,7,6]=>[4,3,2,6,8,7,5,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[3,7,1,5,8,4,2,6]=>[1,3,2,7,4,5,8,6]=>[3,2,5,6,8,4,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,7,3,1,8,4,2,5]=>[1,6,4,2,7,3,5,8]=>[4,6,3,7,2,5,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[7,6,1,8,4,3,2,5]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,6,1,7,4,2,5,3]=>[1,8,3,2,6,4,7,5]=>[4,3,6,8,5,7,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[7,1,2,8,3,5,4,6]=>[1,7,4,8,6,5,3,2]=>[8,7,3,6,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[7,2,6,1,8,4,3,5]=>[1,7,3,6,4,2,5,8]=>[6,3,5,7,4,2,8,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[8,3,1,4,7,5,6,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[7,3,1,5,8,4,2,6]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,1,5,8,3,6,7]=>[1,4,5,8,7,6,3,2]=>[8,7,2,3,6,5,4,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[8,6,4,7,5,3,2,1]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,1,8,3,7,6,2,4]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,5,8,3,2,6,4,1]=>[1,7,4,3,8,2,5,6]=>[6,4,3,7,8,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[5,4,6,8,2,7,3,1]=>[1,5,2,4,8,3,6,7]=>[3,6,4,2,7,8,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,2,6,8,7,3,4,1]=>[1,5,7,4,8,2,3,6]=>[6,7,4,2,8,3,5,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[3,6,8,1,7,2,5,4]=>[1,3,8,4,2,6,5,7]=>[5,2,4,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[2,3,8,7,4,5,6,1]=>[1,2,3,8,4,7,6,5]=>[2,3,5,8,7,6,4,1]=>[[.,[.,[[.,[[[.,.],.],.]],.]]],.]
[7,2,8,6,4,3,5,1]=>[1,7,5,4,6,3,8,2]=>[8,6,4,3,5,2,7,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[2,1,8,7,5,6,3,4]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[7,1,8,6,5,3,2,4]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[1,2,8,7,6,3,4,5]=>[1,2,3,8,5,6,4,7]=>[2,3,7,5,6,8,4,1]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[1,3,8,7,4,6,2,5]=>[1,2,3,8,5,4,7,6]=>[2,3,6,5,8,7,4,1]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[1,5,8,3,7,6,2,4]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,1,6,8,7,4,2,3]=>[1,5,7,2,3,6,4,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,8,4,7,5,3,2,1]=>[1,6,3,4,7,2,8,5]=>[6,3,4,8,2,5,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[3,8,7,6,4,5,2,1]=>[1,3,7,2,8,4,6,5]=>[4,2,6,8,7,3,5,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[2,8,7,6,5,3,4,1]=>[1,2,8,3,7,4,6,5]=>[2,4,6,8,7,5,3,1]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[1,8,7,6,5,4,2,3]=>[1,2,8,3,7,4,6,5]=>[2,4,6,8,7,5,3,1]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[1,8,5,7,4,6,2,3]=>[1,2,8,3,5,4,7,6]=>[2,4,6,5,8,7,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[3,8,5,7,4,6,1,2]=>[1,3,5,4,7,2,8,6]=>[6,2,4,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,8,5,7,3,6,1,2]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,8,3,6,4,5,1,2]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[5,8,3,7,4,6,1,2]=>[1,5,4,7,2,8,3,6]=>[5,7,3,2,8,4,6,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[4,7,3,8,5,6,1,2]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,7,1,8,5,6,2,4]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,7,2,8,5,6,1,4]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,8,2,7,4,6,1,3]=>[1,5,4,7,2,8,3,6]=>[5,7,3,2,8,4,6,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[7,8,2,6,4,5,1,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,8,1,6,4,5,2,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[5,8,1,7,4,6,2,3]=>[1,5,4,7,2,8,3,6]=>[5,7,3,2,8,4,6,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[4,8,1,7,3,6,2,5]=>[1,4,7,2,8,5,3,6]=>[4,7,2,6,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,1,7,3,6,2,4]=>[1,5,3,2,8,4,7,6]=>[4,3,6,2,8,7,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[6,8,1,7,3,5,2,4]=>[1,6,5,3,2,8,4,7]=>[5,4,7,3,2,8,6,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[7,8,2,6,3,5,1,4]=>[1,7,2,8,4,6,5,3]=>[3,8,5,7,6,2,4,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,8,2,7,3,5,1,4]=>[1,6,5,3,2,8,4,7]=>[5,4,7,3,2,8,6,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[5,8,2,7,3,6,1,4]=>[1,5,3,2,8,4,7,6]=>[4,3,6,2,8,7,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[4,8,2,7,3,6,1,5]=>[1,4,7,2,8,5,3,6]=>[4,7,2,6,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,2,8,4,6,1,5]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,7,1,8,4,6,2,5]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,8,4,7,3,6,2,5]=>[1,2,8,5,3,4,7,6]=>[2,5,6,4,8,7,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[2,8,4,7,3,6,1,5]=>[1,2,8,5,3,4,7,6]=>[2,5,6,4,8,7,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[4,8,5,7,2,6,1,3]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,8,5,7,3,6,1,4]=>[1,2,8,4,7,3,5,6]=>[2,6,4,7,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[1,8,5,7,3,6,2,4]=>[1,2,8,4,7,3,5,6]=>[2,6,4,7,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[1,8,6,7,3,5,2,4]=>[1,2,8,4,7,3,6,5]=>[2,6,4,8,7,5,3,1]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[2,8,6,7,3,5,1,4]=>[1,2,8,4,7,3,6,5]=>[2,6,4,8,7,5,3,1]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[3,8,6,7,2,5,1,4]=>[1,3,6,5,2,8,4,7]=>[5,2,7,4,3,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[5,8,6,7,2,4,1,3]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,8,5,7,1,4,2,3]=>[1,6,4,7,2,8,3,5]=>[5,7,3,8,2,4,6,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[5,8,6,7,1,4,2,3]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,8,6,7,1,5,2,4]=>[1,3,6,5,2,8,4,7]=>[5,2,7,4,3,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[6,8,4,7,1,5,2,3]=>[1,6,5,2,8,3,4,7]=>[4,6,7,3,2,8,5,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[7,8,4,6,1,5,2,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,8,3,6,1,5,2,4]=>[1,7,2,8,4,6,5,3]=>[3,8,5,7,6,2,4,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[4,8,3,7,1,6,2,5]=>[1,4,7,2,8,5,3,6]=>[4,7,2,6,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,1,6,2,7,3,5]=>[1,4,6,7,3,2,8,5]=>[6,5,2,8,3,4,7,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[6,8,2,5,1,7,3,4]=>[1,6,7,3,2,8,4,5]=>[5,4,7,8,2,3,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,8,2,6,1,7,3,5]=>[1,4,6,7,3,2,8,5]=>[6,5,2,8,3,4,7,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,2,3,5,6,7,8,9,4]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,2,4,5,6,7,8,9,3]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,3,4,5,6,7,8,9,2]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,6,8,9,7]=>[2,3,4,5,6,9,7,8,1]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,5,7,8,9,6]=>[2,3,4,5,9,6,7,8,1]=>[[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.]
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,2,3,6,5,7,8,9,4]=>[1,2,3,4,6,7,8,9,5]=>[2,3,4,9,5,6,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,2,5,4,6,7,8,9,3]=>[1,2,3,5,6,7,8,9,4]=>[2,3,9,4,5,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,4,3,5,6,7,8,9,2]=>[1,2,4,5,6,7,8,9,3]=>[2,9,3,4,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,4,5,6,7,8,9,10,3]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[3,2,4,5,6,7,8,9,1]=>[1,3,4,5,6,7,8,9,2]=>[9,2,3,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,4,5,6,7,8,9,10,2]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,7,4,8,3,5,1,2]=>[1,6,5,3,4,8,2,7]=>[7,4,5,3,2,8,6,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[5,7,4,6,2,3,1,8]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,4,6,3,8,1,2]=>[1,5,3,4,6,8,2,7]=>[7,3,4,2,5,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[5,7,4,8,3,6,1,2]=>[1,5,3,4,8,2,7,6]=>[6,3,4,2,8,7,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[6,8,4,5,3,7,1,2]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,6,4,8,3,7,1,2]=>[1,5,3,4,8,2,6,7]=>[6,3,4,2,7,8,5,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,6,3,7,2,4,1,8]=>[1,5,2,6,4,7,3,8]=>[3,7,5,2,4,6,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[5,6,3,7,2,8,1,4]=>[1,5,2,6,8,4,7,3]=>[3,8,6,2,4,7,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,3,8,2,7,1,4]=>[1,5,2,6,7,3,4,8]=>[3,6,7,2,4,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,6,4,8,2,7,1,3]=>[1,5,2,6,7,3,4,8]=>[3,6,7,2,4,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,8,4,6,2,7,1,3]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,8,4,5,2,7,1,3]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,4,5,2,6,1,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,8,4,6,2,3,1,7]=>[1,5,2,8,7,3,4,6]=>[3,6,7,2,8,5,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,6,4,8,2,3,1,7]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,3,8,2,4,1,7]=>[1,5,2,6,4,8,7,3]=>[3,8,5,2,4,7,6,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[4,6,3,5,2,8,1,7]=>[1,4,5,2,6,8,7,3]=>[4,8,2,3,5,7,6,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,6,3,8,2,5,1,7]=>[1,4,8,7,2,6,5,3]=>[5,8,2,7,6,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[5,8,3,6,2,4,1,7]=>[1,5,2,8,7,3,4,6]=>[3,6,7,2,8,5,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,8,3,5,2,4,1,6]=>[1,7,2,8,6,4,5,3]=>[3,8,6,7,5,2,4,1]=>[[[.,[[[.,.],[.,.]],.]],[.,.]],.]
[7,8,3,5,2,6,1,4]=>[1,7,2,8,4,5,3,6]=>[3,7,5,6,8,2,4,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,8,3,6,2,7,1,5]=>[1,4,6,7,2,8,5,3]=>[5,8,2,7,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,6,3,8,2,7,1,5]=>[1,4,8,5,2,6,7,3]=>[5,8,2,4,6,7,3,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[4,6,3,7,2,8,1,5]=>[1,4,7,2,6,8,5,3]=>[4,8,2,7,5,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[4,7,3,6,2,5,1,8]=>[1,4,6,5,2,7,3,8]=>[5,7,2,4,3,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,7,3,6,2,8,1,5]=>[1,4,6,8,5,2,7,3]=>[6,8,2,5,3,7,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,7,3,6,2,8,1,4]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,3,6,2,4,1,8]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,7,3,5,2,4,1,8]=>[1,6,4,5,2,7,3,8]=>[5,7,3,4,2,6,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,7,4,8,2,5,1,3]=>[1,6,5,2,7,3,4,8]=>[4,6,7,3,2,5,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,8,5,7,2,3,1,4]=>[1,6,3,5,2,8,4,7]=>[5,3,7,4,2,8,6,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[6,7,3,8,2,4,1,5]=>[1,6,4,8,5,2,7,3]=>[6,8,3,5,2,7,4,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[6,7,3,4,2,8,1,5]=>[1,6,8,5,2,7,3,4]=>[5,7,8,4,2,6,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[5,7,3,4,2,6,1,8]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,3,4,2,8,1,6]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,4,7,2,3,1,6]=>[1,5,2,8,6,3,4,7]=>[3,6,7,2,5,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,8,4,7,2,3,1,5]=>[1,6,3,4,7,2,8,5]=>[6,3,4,8,2,5,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,8,4,6,2,3,1,5]=>[1,7,2,8,5,3,4,6]=>[3,6,7,5,8,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,8,3,6,2,4,1,5]=>[1,7,2,8,5,3,4,6]=>[3,6,7,5,8,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,7,3,8,2,5,1,6]=>[1,4,8,6,5,2,7,3]=>[6,8,2,5,4,7,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,7,3,5,2,8,1,6]=>[1,4,5,2,7,3,6,8]=>[4,6,2,3,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,7,3,5,2,6,1,8]=>[1,4,5,2,7,3,6,8]=>[4,6,2,3,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,5,3,7,2,6,1,8]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,5,3,7,2,8,1,6]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,5,3,8,2,7,1,6]=>[1,4,8,6,7,2,5,3]=>[6,8,2,7,4,5,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[6,8,3,4,2,7,1,5]=>[1,6,7,2,8,5,3,4]=>[4,7,8,6,2,3,5,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,8,3,4,2,6,1,5]=>[1,7,2,8,5,3,4,6]=>[3,6,7,5,8,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,3,4,2,6,1,7]=>[1,5,2,8,7,3,4,6]=>[3,6,7,2,8,5,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,5,3,6,2,8,1,7]=>[1,4,6,8,7,2,5,3]=>[6,8,2,7,3,5,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,7,5,2,1,8,3,6]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,5,2,1,7,6,3]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[4,6,5,2,1,3,8,7]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,4,2,3,1,8,7]=>[1,5,3,4,2,6,7,8]=>[5,3,4,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[6,4,5,3,1,2,8,7]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,4,6,1,3,2,8,7]=>[1,5,3,6,2,4,7,8]=>[5,3,6,2,4,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,6,8,1,7,3,2,5]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,4,8,1,6,5,3,2]=>[1,7,3,8,2,4,5,6]=>[5,3,6,7,8,2,4,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[8,4,5,3,1,7,6,2]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,4,7,1,3,8,2,6]=>[1,5,3,7,2,4,6,8]=>[5,3,6,2,7,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,6,8,7,2,1,3,4]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,1,6,8,7,4,3,5]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[2,1,7,8,6,4,5,3]=>[1,2,3,7,5,6,4,8]=>[2,3,7,5,6,4,8,1]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[7,3,2,8,6,4,5,1]=>[1,7,5,6,4,8,2,3]=>[7,8,5,3,4,2,6,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[7,6,8,5,2,4,3,1]=>[1,7,3,8,2,6,4,5]=>[5,3,7,8,6,2,4,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[5,7,8,6,2,3,1,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,7,6,3,2,1,4]=>[1,5,3,7,2,8,4,6]=>[5,3,7,2,8,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,8,7,5,3,2,4,1]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,7,2,6,3,5,1]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,8,6,2,7,3,1,5]=>[1,4,2,8,5,7,3,6]=>[3,7,2,5,8,6,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[3,6,1,8,7,4,2,5]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[3,7,1,8,6,4,5,2]=>[1,3,2,7,5,6,4,8]=>[3,2,7,5,6,4,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,8,1,6,7,5,2,4]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[3,7,1,6,8,2,5,4]=>[1,3,2,7,5,8,4,6]=>[3,2,7,5,8,4,6,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,7,6,2,8,1,3,5]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,1,8,6,7,5,3,4]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[5,8,6,7,3,1,2,4]=>[1,5,3,6,2,8,4,7]=>[5,3,7,2,4,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[7,6,5,8,1,4,3,2]=>[1,7,3,5,2,6,4,8]=>[5,3,7,4,6,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[8,6,5,7,4,1,3,2]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[7,3,2,6,8,1,5,4]=>[1,7,5,8,4,6,2,3]=>[7,8,5,3,6,2,4,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[2,1,7,6,8,3,5,4]=>[1,2,3,7,5,8,4,6]=>[2,3,7,5,8,4,6,1]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[7,5,6,8,1,4,2,3]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,5,7,8,1,2,4,3]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,1,3,7,4,6,5,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[5,2,8,7,4,6,1,3]=>[1,5,4,7,2,3,8,6]=>[5,6,3,2,8,4,7,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[6,2,7,5,4,8,3,1]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,1,3,5,4,7,6,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,1,8,3,4,5,7,2]=>[1,6,5,4,3,8,2,7]=>[7,5,4,3,2,8,6,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[7,1,4,3,5,6,8,2]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,1,3,4,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,7,2,4,5,6,3,8]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,3,2,7,5,1,8,4]=>[1,6,2,3,4,7,8,5]=>[3,4,5,8,2,6,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,4,7,2,5,6,1,3]=>[1,8,3,7,2,4,5,6]=>[5,3,6,7,8,4,2,1]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]
[6,5,8,2,4,7,3,1]=>[1,6,7,3,8,2,5,4]=>[6,4,8,7,2,3,5,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[8,5,2,1,4,3,7,6]=>[1,8,6,3,2,5,4,7]=>[5,4,7,6,3,8,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[1,2,6,3,5,4,7,8]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,3,1,2,6,8,5,7]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[5,8,1,6,3,2,4,7]=>[1,5,3,2,8,7,4,6]=>[4,3,7,2,8,6,5,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[8,3,1,5,2,4,7,6]=>[1,8,6,4,5,2,3,7]=>[6,7,4,5,3,8,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[3,8,2,6,1,5,7,4]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[8,5,6,4,2,1,7,3]=>[1,8,3,6,2,5,4,7]=>[5,3,7,6,4,8,2,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[5,8,2,4,1,3,7,6]=>[1,5,2,8,6,3,4,7]=>[3,6,7,2,5,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,8,1,6,3,2,7,5]=>[1,4,6,2,8,5,3,7]=>[4,7,2,6,3,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,1,6,7,4,3,2,5]=>[1,8,5,4,7,2,3,6]=>[6,7,4,3,8,5,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[4,2,1,3,7,8,5,6]=>[1,4,3,2,5,7,6,8]=>[4,3,2,5,7,6,8,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[2,8,1,3,6,4,7,5]=>[1,2,8,5,6,4,3,7]=>[2,7,6,4,5,8,3,1]=>[[.,[[[[.,.],.],[.,[.,.]]],.]],.]
[5,1,8,3,2,4,6,7]=>[1,5,2,3,8,7,6,4]=>[3,4,8,2,7,6,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,4,2,7,8,6,3,5]=>[1,2,4,7,3,5,8,6]=>[2,5,3,6,8,4,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,6,2,4,8,5,3,7]=>[1,2,6,5,8,7,3,4]=>[2,7,8,4,3,6,5,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[4,2,5,7,8,6,1,3]=>[1,4,7,2,3,5,8,6]=>[4,5,2,6,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,2,1,8,3,4,7,5]=>[1,6,4,8,5,3,2,7]=>[7,6,3,5,2,8,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[6,2,8,3,5,1,7,4]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,2,4,8,5,7,1,3]=>[1,6,7,2,3,4,8,5]=>[4,5,6,8,2,3,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,3,6,4,8,5,7,2]=>[1,2,3,6,5,8,4,7]=>[2,3,7,5,4,8,6,1]=>[[.,[.,[[[.,.],.],[[.,.],.]]]],.]
[1,3,6,4,7,5,8,2]=>[1,2,3,6,5,7,8,4]=>[2,3,8,5,4,6,7,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,2,1,3,7,8,4,5]=>[1,6,8,5,7,4,3,2]=>[8,7,6,4,2,5,3,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[7,8,2,1,4,3,5,6]=>[1,7,5,4,2,8,6,3]=>[5,8,4,3,7,2,6,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[7,6,4,2,3,1,8,5]=>[1,7,8,5,3,4,2,6]=>[7,5,6,4,8,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[5,7,2,3,1,6,8,4]=>[1,5,2,7,8,4,3,6]=>[3,7,6,2,8,4,5,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[7,5,4,2,6,8,1,3]=>[1,7,2,5,6,8,3,4]=>[3,7,8,4,5,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,7,5,3,4,6,8,2]=>[1,2,7,8,3,5,4,6]=>[2,5,7,6,8,3,4,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,2,5,4,6,7,1,3]=>[1,8,3,5,6,7,2,4]=>[7,3,8,4,5,6,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[5,2,6,3,1,8,7,4]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,2,7,4,1,3,5,6]=>[1,8,6,3,7,5,2,4]=>[7,4,8,6,3,5,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[1,2,8,4,3,5,6,7]=>[1,2,3,8,7,6,5,4]=>[2,3,8,7,6,5,4,1]=>[[.,[.,[[[[[.,.],.],.],.],.]]],.]
[1,8,7,4,3,2,5,6]=>[1,2,8,6,3,7,5,4]=>[2,5,8,7,4,6,3,1]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]
[1,6,3,8,2,4,7,5]=>[1,2,6,4,8,5,3,7]=>[2,7,4,6,3,8,5,1]=>[[.,[[[.,.],[.,.]],[[.,.],.]]],.]
[1,7,5,4,2,6,3,8]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,5,8,2,4,6,3,7]=>[1,2,5,4,3,8,7,6]=>[2,5,4,3,8,7,6,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[1,4,6,2,8,3,7,5]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[5,3,6,1,2,8,4,7]=>[1,5,2,3,6,8,7,4]=>[3,4,8,2,5,7,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[1,6,3,2,7,8,4,5]=>[1,2,6,8,5,7,4,3]=>[2,8,7,5,3,6,4,1]=>[[.,[[[[.,.],.],.],[[.,.],.]]],.]
[1,7,4,5,3,8,6,2]=>[1,2,7,6,8,3,4,5]=>[2,6,7,8,4,3,5,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[6,3,4,1,2,5,8,7]=>[1,6,5,2,3,4,7,8]=>[4,5,6,3,2,7,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,3,1,4,2,7,5,8]=>[1,6,7,5,2,3,4,8]=>[5,6,7,4,2,3,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,8,3,2,4,5,6,7]=>[1,2,8,7,6,5,4,3]=>[2,8,7,6,5,4,3,1]=>[[.,[[[[[[.,.],.],.],.],.],.]],.]
[4,2,5,6,7,8,1,3]=>[1,4,6,8,3,5,7,2]=>[8,5,2,6,3,7,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[6,2,3,4,1,7,8,5]=>[1,6,7,8,5,2,3,4]=>[6,7,8,5,2,3,4,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[7,2,3,1,4,5,8,6]=>[1,7,8,6,5,4,2,3]=>[7,8,6,5,4,2,3,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[8,3,1,6,5,2,4,7]=>[1,8,7,4,6,2,3,5]=>[6,7,4,8,5,3,2,1]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[3,7,5,1,8,2,4,6]=>[1,3,5,8,6,2,7,4]=>[6,2,8,3,5,7,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[4,1,5,2,8,7,3,6]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[8,1,2,4,6,5,3,7]=>[1,8,7,3,2,4,5,6]=>[5,4,6,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[8,1,2,5,4,6,3,7]=>[1,8,7,3,2,4,5,6]=>[5,4,6,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[8,2,6,5,1,3,4,7]=>[1,8,7,4,5,2,3,6]=>[6,7,4,5,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,1,2,5,6,4,3,7]=>[1,8,7,3,2,4,5,6]=>[5,4,6,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,7,5,4,2,8,3,6]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,1,4,8,2,7,3,6]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,1,4,7,2,8,3,6]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,7,4,5,2,8,3,6]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,7,5,1,2,8,4,6]=>[1,3,5,2,7,4,6,8]=>[4,2,6,3,7,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[5,2,8,7,1,3,4,6]=>[1,5,2,3,8,6,4,7]=>[3,4,7,2,6,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,1,5,8,2,7,3,6]=>[1,4,8,6,7,3,5,2]=>[8,6,2,7,4,5,3,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[1,4,6,2,8,7,3,5]=>[1,2,4,3,6,7,5,8]=>[2,4,3,7,5,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,4,2,8,6,7,3,5]=>[1,2,4,8,5,6,7,3]=>[2,8,3,5,6,7,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[3,1,2,6,4,8,7,5]=>[1,3,2,4,6,8,5,7]=>[3,2,4,7,5,8,6,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[3,1,2,7,4,6,8,5]=>[1,3,2,4,7,8,5,6]=>[3,2,4,7,8,5,6,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[1,4,7,2,6,8,3,5]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,2,3,6,8,5,7,4]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[5,1,4,2,7,8,3,6]=>[1,5,7,3,4,2,6,8]=>[6,4,5,2,7,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,1,2,7,6,4,8,5]=>[1,3,2,4,7,8,5,6]=>[3,2,4,7,8,5,6,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[5,3,7,1,8,2,4,6]=>[1,5,8,6,2,3,7,4]=>[5,6,8,2,4,7,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,8,7,3,4,2,5,6]=>[1,2,8,6,3,7,5,4]=>[2,5,8,7,4,6,3,1]=>[[.,[[[.,[[.,.],.]],[.,.]],.]],.]
[1,4,2,7,8,3,6,5]=>[1,2,4,7,6,3,5,8]=>[2,6,3,7,5,4,8,1]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[1,2,3,7,8,5,6,4]=>[1,2,3,4,7,6,5,8]=>[2,3,4,7,6,5,8,1]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[1,2,3,7,5,8,6,4]=>[1,2,3,4,7,6,8,5]=>[2,3,4,8,6,5,7,1]=>[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]
[3,1,7,2,8,6,4,5]=>[1,3,7,4,2,5,8,6]=>[5,2,4,6,8,3,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,2,3,8,7,5,6,4]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[10,1,2,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[9,1,10,2,3,4,5,6,7,8]=>[1,9,7,5,3,10,8,6,4,2]=>[10,5,9,4,8,3,7,2,6,1]=>[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],.]
[11,1,2,3,4,5,6,7,8,9,10]=>[1,11,10,9,8,7,6,5,4,3,2]=>[11,10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]
[4,7,8,5,6,2,1,3]=>[1,4,5,6,2,7,3,8]=>[5,7,2,3,4,6,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,7,8,4,2,6,1,3]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,7,8,4,2,5,1,3]=>[1,6,5,2,7,3,8,4]=>[4,6,8,3,2,5,7,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,7,8,3,2,1,5,4]=>[1,6,2,7,5,3,8,4]=>[3,6,8,5,2,4,7,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,7,8,3,2,1,6,4]=>[1,5,2,7,6,3,8,4]=>[3,6,8,2,5,4,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,7,8,4,3,5,6,1]=>[1,2,7,6,5,3,8,4]=>[2,6,8,5,4,3,7,1]=>[[.,[[[[.,[.,.]],.],.],[.,.]]],.]
[3,7,8,4,2,5,1,6]=>[1,3,8,6,5,2,7,4]=>[6,2,8,5,4,7,3,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[5,6,3,8,2,1,4,7]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,6,4,8,2,5,1,7]=>[1,3,4,8,7,2,6,5]=>[6,2,3,8,7,5,4,1]=>[[[.,.],[.,[[[[.,.],.],.],.]]],.]
[2,6,4,7,3,5,8,1]=>[1,2,6,5,3,4,7,8]=>[2,5,6,4,3,7,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[5,6,3,7,2,1,4,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,5,4,2,8,6,1,7]=>[1,3,4,2,5,8,7,6]=>[4,2,3,5,8,7,6,1]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.]
[7,4,3,2,1,8,5,6]=>[1,7,5,2,4,3,6,8]=>[4,6,5,3,7,2,8,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[7,4,3,2,1,8,6,5]=>[1,7,6,8,5,2,4,3]=>[6,8,7,5,3,2,4,1]=>[[[[[.,[[.,.],.]],.],.],[.,.]],.]
[5,6,3,8,2,1,7,4]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,6,5,8,7,2,1,3]=>[1,4,8,3,5,7,2,6]=>[7,4,2,5,8,6,3,1]=>[[[[.,.],.],[[.,[[.,.],.]],.]],.]
[8,5,4,2,6,7,1,3]=>[1,8,3,4,2,5,6,7]=>[5,3,4,6,7,8,2,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[5,6,3,7,2,1,8,4]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,6,4,7,2,8,1,5]=>[1,3,4,7,2,6,8,5]=>[5,2,3,8,6,4,7,1]=>[[[.,.],[.,[[[.,.],.],[.,.]]]],.]
[8,4,3,2,1,5,7,6]=>[1,8,6,5,2,4,3,7]=>[5,7,6,4,3,8,2,1]=>[[[[[.,[[.,.],.]],.],[.,.]],.],.]
[3,5,4,2,6,8,1,7]=>[1,3,4,2,5,6,8,7]=>[4,2,3,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,6,3,4,1,2,8,7]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,5,7,4,2,6,3,1]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[7,5,8,4,2,6,1,3]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,1,7,8,5,6,3,4]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[3,2,6,4,8,5,1,7]=>[1,3,6,5,8,7,2,4]=>[7,2,8,4,3,6,5,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,5,2,4,1,7,6,8]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[4,5,2,3,7,1,6,8]=>[1,4,3,2,5,7,6,8]=>[4,3,2,5,7,6,8,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[4,2,5,3,8,1,6,7]=>[1,4,3,5,8,7,6,2]=>[8,3,2,4,7,6,5,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[4,1,5,3,8,2,6,7]=>[1,4,3,5,8,7,6,2]=>[8,3,2,4,7,6,5,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[4,7,3,5,2,1,6,8]=>[1,4,5,2,7,6,3,8]=>[4,7,2,3,6,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,2,7,5,1,6,8]=>[1,4,7,6,2,3,5,8]=>[5,6,2,7,4,3,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[4,3,6,2,5,1,7,8]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,6,3,2,5,1,7,8]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,6,7,1,3,2,5,8]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,5,1,3,7,2,6,8]=>[1,4,3,2,5,7,6,8]=>[4,3,2,5,7,6,8,1]=>[[[[.,.],.],[.,[[.,.],[.,.]]]],.]
[3,5,1,4,2,7,6,8]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[2,5,1,4,3,7,8,6]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[5,2,1,4,3,7,8,6]=>[1,5,3,2,4,6,7,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,3,1,4,2,7,6,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,1,5,7,2,6,8]=>[1,4,5,7,6,2,3,8]=>[6,7,2,3,5,4,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,1,7,5,2,6,8]=>[1,4,7,6,2,3,5,8]=>[5,6,2,7,4,3,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[4,3,6,1,5,2,7,8]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,6,3,1,5,2,7,8]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,3,6,1,7,2,5,8]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,3,4,1,2,7,5,8]=>[1,6,7,5,2,3,4,8]=>[5,6,7,4,2,3,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,2,4,1,3,7,8,5]=>[1,6,7,8,5,3,4,2]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[3,6,4,1,2,7,5,8]=>[1,3,4,2,6,7,5,8]=>[4,2,3,7,5,6,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[4,6,3,1,7,2,5,8]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,2,7,1,3,4,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,6,7,2,3,1,5,8]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,6,2,1,7,3,5,8]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,2,1,4,7,5,8]=>[1,3,2,6,7,5,4,8]=>[3,2,7,6,4,5,8,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[3,5,2,7,4,6,1,8]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,7,2,4,8,5,1,6]=>[1,3,2,7,4,5,8,6]=>[3,2,5,6,8,4,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,2,1,4,6,3,8,5]=>[1,7,8,5,6,3,2,4]=>[7,6,8,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[7,3,1,4,6,8,2,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,3,2,1,5,7,4,8]=>[1,6,7,4,2,3,5,8]=>[5,6,4,7,2,3,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,4,2,1,5,3,7,8]=>[1,6,3,2,4,5,7,8]=>[4,3,5,6,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,2,6,1,5,3,7,8]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,2,1,7,5,3,6,8]=>[1,4,7,6,3,2,5,8]=>[6,5,2,7,4,3,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[7,3,1,5,2,6,4,8]=>[1,7,4,5,2,3,6,8]=>[5,6,3,4,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[7,2,1,5,3,6,8,4]=>[1,7,8,4,5,3,2,6]=>[7,6,4,5,8,2,3,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[6,2,5,1,3,7,8,4]=>[1,6,7,8,4,2,3,5]=>[6,7,5,8,2,3,4,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,3,5,1,2,7,4,8]=>[1,6,7,4,2,3,5,8]=>[5,6,4,7,2,3,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,4,5,1,7,2,3,8]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[4,6,5,1,7,2,3,8]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,5,2,1,4,7,8,3]=>[1,6,7,8,3,2,5,4]=>[6,5,8,7,2,3,4,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[6,5,3,1,4,7,2,8]=>[1,6,7,2,5,4,3,8]=>[4,7,6,5,2,3,8,1]=>[[[.,[[[.,.],.],.]],[.,[.,.]]],.]
[2,3,1,8,5,4,7,6]=>[1,2,3,4,8,6,5,7]=>[2,3,4,7,6,8,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[2,4,1,5,3,8,7,6]=>[1,2,4,5,3,6,8,7]=>[2,5,3,4,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[1,8,4,5,3,2,7,6]=>[1,2,8,6,3,4,5,7]=>[2,5,6,7,4,8,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[3,4,5,8,2,1,7,6]=>[1,3,5,2,4,8,6,7]=>[4,2,5,3,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[3,4,6,2,1,7,8,5]=>[1,3,6,7,8,5,2,4]=>[7,2,8,6,3,4,5,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[3,5,6,2,7,1,8,4]=>[1,3,6,2,5,7,8,4]=>[4,2,8,5,3,6,7,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[3,4,6,2,8,7,1,5]=>[1,3,6,7,2,4,5,8]=>[5,2,6,7,3,4,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,4,6,8,2,7,1,5]=>[1,3,6,7,2,4,8,5]=>[5,2,6,8,3,4,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,4,8,6,3,7,1,5]=>[1,2,4,6,7,3,8,5]=>[2,6,3,8,4,5,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,8,4,6,3,7,2,5]=>[1,2,8,5,3,4,6,7]=>[2,5,6,4,7,8,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[3,4,6,2,8,7,5,1]=>[1,3,6,7,5,8,2,4]=>[7,2,8,5,3,4,6,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[3,5,6,2,7,8,4,1]=>[1,3,6,8,2,5,7,4]=>[5,2,8,6,3,7,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,5,8,6,7,3,4,1]=>[1,2,5,7,4,6,3,8]=>[2,7,5,3,6,4,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[1,8,5,6,7,3,4,2]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[2,5,8,6,7,3,1,4]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,5,6,7,2,1,8,3]=>[1,4,7,8,3,6,2,5]=>[7,5,2,8,6,3,4,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[3,4,6,1,8,7,2,5]=>[1,3,6,7,2,4,5,8]=>[5,2,6,7,3,4,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,3,1,8,6,7,4,5]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,8,3,2,6,7,5,4]=>[1,2,8,4,3,5,6,7]=>[2,5,4,6,7,8,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[2,5,1,6,7,8,4,3]=>[1,2,5,7,4,6,8,3]=>[2,8,5,3,6,4,7,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[2,5,1,6,7,4,3,8]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,4,6,1,8,7,5,2]=>[1,3,6,7,5,8,2,4]=>[7,2,8,5,3,4,6,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[1,8,5,6,7,2,4,3]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[2,5,8,6,7,1,4,3]=>[1,2,5,7,4,6,3,8]=>[2,7,5,3,6,4,8,1]=>[[.,[[[.,.],.],[[.,.],[.,.]]]],.]
[4,5,6,7,8,1,3,2]=>[1,4,7,3,6,2,5,8]=>[6,4,2,7,5,3,8,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[4,5,6,7,1,3,2,8]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,5,8,6,7,4,1,3]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,8,5,6,7,4,2,3]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[1,8,5,6,7,4,3,2]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[2,5,8,6,7,4,3,1]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,2,5,3,7,1,6,4]=>[1,8,4,3,5,7,6,2]=>[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[8,2,4,3,7,1,6,5]=>[1,8,5,7,6,2,3,4]=>[6,7,8,3,5,4,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[5,8,2,4,3,7,1,6]=>[1,5,3,2,8,6,7,4]=>[4,3,8,2,6,7,5,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[4,2,5,6,1,7,3,8]=>[1,4,6,7,3,5,2,8]=>[7,5,2,6,3,4,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[6,1,5,7,3,2,4,8]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,8,2,4,7,1,5,6]=>[1,3,2,8,6,4,5,7]=>[3,2,6,7,5,8,4,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[4,3,5,6,7,1,8,2]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,7,1,5,6,8,2,4]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,7,1,5,8,2,4,6]=>[1,3,2,7,4,5,8,6]=>[3,2,5,6,8,4,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,2,5,1,7,4,6,8]=>[1,3,5,7,6,4,2,8]=>[7,2,6,3,5,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,2,5,1,8,4,6,7]=>[1,3,5,8,7,6,4,2]=>[8,2,7,3,6,5,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[7,8,3,2,4,6,1,5]=>[1,7,2,8,5,4,3,6]=>[3,7,6,5,8,2,4,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[4,2,5,6,1,7,8,3]=>[1,4,6,7,8,3,5,2]=>[8,6,2,7,3,4,5,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[5,8,6,1,7,3,4,2]=>[1,5,7,4,2,8,3,6]=>[5,7,4,2,8,3,6,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[8,7,3,2,4,6,1,5]=>[1,8,5,4,2,7,3,6]=>[5,7,4,3,8,6,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[6,5,1,7,8,4,2,3]=>[1,6,4,7,2,5,8,3]=>[5,8,3,6,2,4,7,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[3,2,5,1,6,7,8,4]=>[1,3,5,6,7,8,4,2]=>[8,2,7,3,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[3,2,4,1,8,5,6,7]=>[1,3,4,2,5,8,7,6]=>[4,2,3,5,8,7,6,1]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.]
[3,2,4,1,6,8,5,7]=>[1,3,4,2,5,6,8,7]=>[4,2,3,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[8,3,2,4,7,6,1,5]=>[1,8,5,7,2,3,4,6]=>[5,6,7,3,8,4,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[3,2,5,1,6,7,4,8]=>[1,3,5,6,7,4,2,8]=>[7,2,6,3,4,5,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[4,2,6,1,8,3,7,5]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,2,6,1,8,3,7,4]=>[1,5,8,4,2,3,6,7]=>[5,6,4,2,7,8,3,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[8,4,6,1,7,3,5,2]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[7,4,2,3,8,5,1,6]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,5,1,6,4,2,3,7]=>[1,8,7,3,2,5,4,6]=>[5,4,7,6,8,3,2,1]=>[[[[[.,.],[[.,.],[.,.]]],.],.],.]
[7,5,1,6,4,2,3,8]=>[1,7,3,2,5,4,6,8]=>[4,3,6,5,7,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,3,2,4,8,6,1,5]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,6,1,5,7,3,2,4]=>[1,8,4,5,7,2,6,3]=>[6,8,3,4,7,5,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[4,2,6,1,8,5,7,3]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,5,6,1,7,3,4,2]=>[1,8,2,5,7,4,3,6]=>[3,7,6,4,8,5,2,1]=>[[[.,[[[.,.],.],[[.,.],.]]],.],.]
[8,5,1,6,7,4,2,3]=>[1,8,3,2,5,7,4,6]=>[4,3,7,5,8,6,2,1]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[3,2,4,1,8,6,5,7]=>[1,3,4,2,5,8,7,6]=>[4,2,3,5,8,7,6,1]=>[[[.,.],[.,[.,[[[.,.],.],.]]]],.]
[3,2,4,1,5,8,6,7]=>[1,3,4,2,5,6,8,7]=>[4,2,3,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[3,8,5,1,7,6,4,2]=>[1,3,5,7,4,2,8,6]=>[6,2,5,3,8,4,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,7,5,1,6,4,2,3]=>[1,8,3,5,6,4,2,7]=>[7,3,6,4,5,8,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[6,5,7,3,1,8,4,2]=>[1,6,8,2,5,3,7,4]=>[4,6,8,5,2,7,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,6,3,7,1,8,5,2]=>[1,4,7,5,2,6,8,3]=>[5,8,2,4,6,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,2,6,1,7,5,3,8]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,5,7,4,1,6,3,8]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,5,7,4,1,6,8,3]=>[1,2,5,3,7,8,4,6]=>[2,4,7,3,8,5,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,4,7,8,3,1,6,2]=>[1,5,3,7,6,2,4,8]=>[6,3,7,2,5,4,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[6,4,3,8,5,1,7,2]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,8,4,3,6,1,7,2]=>[1,5,6,2,8,3,4,7]=>[4,6,7,2,3,8,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,4,8,3,6,1,7,2]=>[1,5,6,2,4,3,8,7]=>[4,6,5,2,3,8,7,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,5,4,6,1,7,3,8]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,2,5,8,1,6,7,4]=>[1,3,5,2,4,8,6,7]=>[4,2,5,3,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[2,5,4,6,8,1,7,3]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,2,8,4,1,6,7,3]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,2,1,8,5,7,3]=>[1,4,2,6,5,8,3,7]=>[3,7,2,5,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,6,4,1,8,5,3,7]=>[1,2,6,5,8,7,3,4]=>[2,7,8,4,3,6,5,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[2,5,8,4,1,6,3,7]=>[1,2,5,3,8,7,4,6]=>[2,4,7,3,8,6,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[3,2,1,6,8,5,4,7]=>[1,3,2,4,6,5,8,7]=>[3,2,4,6,5,8,7,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[3,2,7,1,5,8,6,4]=>[1,3,7,6,8,4,2,5]=>[7,2,6,8,4,3,5,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,8,2,5,1,6,7,4]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,3,2,6,7,1,5,8]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,3,7,2,6,8,1,5]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,3,7,8,2,6,1,5]=>[1,4,8,5,2,3,7,6]=>[5,6,2,4,8,7,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[2,5,7,4,8,1,6,3]=>[1,2,5,8,3,7,6,4]=>[2,5,8,3,7,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[3,2,5,7,8,1,6,4]=>[1,3,5,8,4,7,6,2]=>[8,2,5,3,7,6,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[3,2,5,7,1,6,8,4]=>[1,3,5,2,4,7,8,6]=>[4,2,5,3,8,6,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,2,5,7,1,6,4,8]=>[1,3,5,2,4,7,6,8]=>[4,2,5,3,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,3,2,7,1,5,4,8]=>[1,6,5,2,3,4,7,8]=>[4,5,6,3,2,7,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,3,2,7,1,5,8,4]=>[1,6,5,2,3,4,7,8]=>[4,5,6,3,2,7,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[6,3,2,7,8,1,5,4]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,6,1,7,8,5,3]=>[1,4,2,3,6,8,5,7]=>[3,4,2,7,5,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,5,2,1,7,8,4,3]=>[1,6,8,3,2,5,7,4]=>[5,4,8,6,2,7,3,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[2,1,7,5,3,8,6,4]=>[1,2,3,7,6,8,4,5]=>[2,3,7,8,5,4,6,1]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]
[6,3,2,7,1,4,8,5]=>[1,6,4,7,8,5,2,3]=>[7,8,3,6,2,4,5,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,3,2,1,4,7,5,8]=>[1,6,7,5,4,2,3,8]=>[6,7,5,4,2,3,8,1]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[3,5,2,1,7,4,6,8]=>[1,3,2,5,7,6,4,8]=>[3,2,7,4,6,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,5,2,1,7,8,4,6]=>[1,3,2,5,7,4,6,8]=>[3,2,6,4,7,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,6,2,1,8,3,7,5]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,8,3,7,2,1,5,6]=>[1,4,7,5,2,8,6,3]=>[5,8,2,4,7,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,3,7,2,8,1,5,6]=>[1,4,2,3,7,5,8,6]=>[3,4,2,6,8,5,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,3,7,2,1,5,6,8]=>[1,4,2,3,7,6,5,8]=>[3,4,2,7,6,5,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,5,2,8,1,7,4,6]=>[1,3,2,5,4,8,6,7]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[3,2,1,4,7,5,8,6]=>[1,3,2,4,5,7,8,6]=>[3,2,4,5,8,6,7,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[4,8,3,2,1,5,6,7]=>[1,4,2,8,7,6,5,3]=>[3,8,2,7,6,5,4,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[4,3,8,2,1,5,6,7]=>[1,4,2,3,8,7,6,5]=>[3,4,2,8,7,6,5,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[8,6,7,2,5,3,4,1]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,2,5,3,4,1,8,7]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,1,5,2,4,3,8,7]=>[1,6,3,5,4,2,7,8]=>[6,3,5,4,2,7,8,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[6,4,5,1,3,2,8,7]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,1,5,3,4,2,8,7]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,3,5,1,4,2,8,7]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,3,7,5,6,2,4,1]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,3,7,2,4,1,6,5]=>[1,8,5,4,2,3,7,6]=>[5,6,4,3,8,7,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[8,6,7,4,5,1,3,2]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,6,7,1,5,3,4,2]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,6,7,3,5,1,4,2]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,3,7,5,6,1,4,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,5,7,3,6,1,4,2]=>[1,8,2,5,6,3,7,4]=>[3,6,8,4,5,7,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,1,7,5,6,3,4,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[2,1,8,4,7,5,6,3]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[8,1,7,3,4,2,6,5]=>[1,8,5,4,3,7,6,2]=>[8,5,4,3,7,6,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[8,3,7,1,6,2,5,4]=>[1,8,4,2,3,7,5,6]=>[4,5,3,7,8,6,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[8,2,7,1,6,3,5,4]=>[1,8,4,2,3,7,5,6]=>[4,5,3,7,8,6,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[8,1,7,2,4,3,6,5]=>[1,8,5,4,2,3,7,6]=>[5,6,4,3,8,7,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[8,1,3,2,7,4,6,5]=>[1,8,5,7,6,4,2,3]=>[7,8,6,3,5,4,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[2,1,8,3,7,4,6,5]=>[1,2,3,8,5,7,6,4]=>[2,3,8,5,7,6,4,1]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[8,2,7,1,4,3,6,5]=>[1,8,5,4,2,3,7,6]=>[5,6,4,3,8,7,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[8,2,7,3,4,1,6,5]=>[1,8,5,4,3,7,6,2]=>[8,5,4,3,7,6,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[8,2,7,5,6,3,4,1]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,4,7,2,3,1,6,5]=>[1,8,5,3,7,6,2,4]=>[7,4,8,3,6,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[8,2,3,1,7,4,6,5]=>[1,8,5,7,6,4,2,3]=>[7,8,6,3,5,4,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[4,2,3,1,8,5,7,6]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,1,3,2,8,6,7,5]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[8,6,7,2,3,1,5,4]=>[1,8,4,2,6,3,7,5]=>[4,6,3,8,5,7,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[8,2,3,1,7,5,6,4]=>[1,8,4,2,3,5,7,6]=>[4,5,3,6,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,5,7,2,6,3,4,1]=>[1,8,2,5,6,3,7,4]=>[3,6,8,4,5,7,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,5,7,2,6,1,4,3]=>[1,8,3,7,4,2,5,6]=>[6,3,5,7,8,4,2,1]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]
[8,6,7,1,3,2,5,4]=>[1,8,4,2,6,3,7,5]=>[4,6,3,8,5,7,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[2,1,8,6,7,3,5,4]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[2,1,8,3,7,5,6,4]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[8,1,3,2,7,5,6,4]=>[1,8,4,2,3,5,7,6]=>[4,5,3,6,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,1,7,2,6,4,5,3]=>[1,8,3,7,5,6,4,2]=>[8,3,7,5,6,4,2,1]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]
[8,2,7,1,6,4,5,3]=>[1,8,3,7,5,6,4,2]=>[8,3,7,5,6,4,2,1]=>[[[[.,.],[[[.,.],[.,.]],.]],.],.]
[8,4,7,2,6,3,5,1]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[8,5,7,1,6,2,4,3]=>[1,8,3,7,4,2,5,6]=>[6,3,5,7,8,4,2,1]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]
[2,1,8,5,7,3,6,4]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[8,5,7,4,6,1,3,2]=>[1,8,2,5,6,3,7,4]=>[3,6,8,4,5,7,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,5,7,1,6,3,4,2]=>[1,8,2,5,6,3,7,4]=>[3,6,8,4,5,7,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,4,7,1,6,3,5,2]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[8,4,7,3,6,1,5,2]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[2,4,8,3,6,1,7,5]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[6,5,8,1,3,2,7,4]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,5,8,6,3,2,7,1]=>[1,4,6,2,5,3,8,7]=>[4,6,2,5,3,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,5,8,7,3,1,2,4]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,5,8,7,3,6,2,4]=>[1,2,5,3,8,4,7,6]=>[2,4,6,3,8,7,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[1,7,2,8,4,6,5,3]=>[1,2,7,5,4,8,3,6]=>[2,7,5,4,8,3,6,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[3,6,2,8,4,5,7,1]=>[1,3,2,6,5,4,8,7]=>[3,2,6,5,4,8,7,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,1,6,8,4,5,7,2]=>[1,3,6,5,4,8,2,7]=>[7,2,5,4,3,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[6,3,7,8,4,1,5,2]=>[1,6,2,3,7,5,4,8]=>[3,4,7,6,2,5,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[1,3,7,8,4,6,5,2]=>[1,2,3,7,5,4,8,6]=>[2,3,6,5,8,4,7,1]=>[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]
[5,1,7,8,2,4,6,3]=>[1,5,2,3,7,6,4,8]=>[3,4,7,2,6,5,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,6,7,8,4,2,5,1]=>[1,3,7,5,4,8,2,6]=>[7,2,5,4,8,3,6,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,8,3,7,1,6,5,4]=>[1,2,8,4,7,5,3,6]=>[2,7,4,6,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[3,2,7,8,4,6,5,1]=>[1,3,7,5,4,8,2,6]=>[7,2,5,4,8,3,6,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[5,2,7,8,1,4,6,3]=>[1,5,2,3,7,6,4,8]=>[3,4,7,2,6,5,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,1,3,8,5,6,7]=>[1,4,3,2,5,8,7,6]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[7,2,5,8,3,4,6,1]=>[1,7,6,4,8,2,3,5]=>[6,7,4,8,3,2,5,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[6,2,8,5,4,3,1,7]=>[1,6,3,8,7,2,4,5]=>[6,3,7,8,2,5,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[2,8,3,5,4,1,6,7]=>[1,2,8,7,6,3,4,5]=>[2,6,7,8,5,4,3,1]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[2,8,4,5,3,1,6,7]=>[1,2,8,7,6,3,4,5]=>[2,6,7,8,5,4,3,1]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[6,4,8,5,2,3,1,7]=>[1,6,3,8,7,2,4,5]=>[6,3,7,8,2,5,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[7,3,5,8,2,4,6,1]=>[1,7,6,4,8,2,3,5]=>[6,7,4,8,3,2,5,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[4,3,1,2,8,5,6,7]=>[1,4,2,3,5,8,7,6]=>[3,4,2,5,8,7,6,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[2,7,6,8,4,3,5,1]=>[1,2,7,5,4,8,3,6]=>[2,7,5,4,8,3,6,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[5,7,1,8,3,4,6,2]=>[1,5,3,2,7,6,4,8]=>[4,3,7,2,6,5,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,7,5,8,3,4,6,2]=>[1,2,7,6,4,8,3,5]=>[2,7,5,8,4,3,6,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[1,6,8,5,4,3,2,7]=>[1,2,6,3,8,7,4,5]=>[2,4,7,8,3,6,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,6,8,1,4,3,2,7]=>[1,5,4,2,6,3,8,7]=>[4,6,3,2,5,8,7,1]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[7,5,8,6,3,4,2,1]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,8,4,1,5,6,3,7]=>[1,2,8,7,3,4,5,6]=>[2,5,6,7,8,4,3,1]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[4,1,8,3,5,6,2,7]=>[1,4,3,8,7,2,5,6]=>[6,3,2,7,8,5,4,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[5,6,8,4,1,3,2,7]=>[1,5,2,6,3,8,7,4]=>[3,5,8,2,4,7,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,6,8,1,5,3,2,7]=>[1,4,2,6,3,8,7,5]=>[3,5,2,8,4,7,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,6,8,4,5,3,2,7]=>[1,2,6,3,8,7,4,5]=>[2,4,7,8,3,6,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,7,3,8,5,4,6,2]=>[1,2,7,6,4,8,3,5]=>[2,7,5,8,4,3,6,1]=>[[.,[[[[.,.],[.,.]],.],[.,.]]],.]
[3,7,1,8,5,4,6,2]=>[1,3,2,7,6,4,8,5]=>[3,2,6,8,5,4,7,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[2,7,3,8,4,6,5,1]=>[1,2,7,5,4,8,3,6]=>[2,7,5,4,8,3,6,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[7,1,3,8,4,6,5,2]=>[1,7,5,4,8,2,3,6]=>[6,7,4,3,8,2,5,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[2,8,5,4,3,1,6,7]=>[1,2,8,7,6,3,5,4]=>[2,6,8,7,5,4,3,1]=>[[.,[[[[.,[[.,.],.]],.],.],.]],.]
[6,5,8,4,2,3,1,7]=>[1,6,3,8,7,2,5,4]=>[6,3,8,7,2,5,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[4,1,3,2,8,5,6,7]=>[1,4,2,3,5,8,7,6]=>[3,4,2,5,8,7,6,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[7,3,2,8,5,4,6,1]=>[1,7,6,4,8,2,3,5]=>[6,7,4,8,3,2,5,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[6,4,8,2,5,3,1,7]=>[1,6,3,8,7,2,4,5]=>[6,3,7,8,2,5,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[2,8,4,3,5,1,6,7]=>[1,2,8,7,6,3,4,5]=>[2,6,7,8,5,4,3,1]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[2,8,3,4,5,1,6,7]=>[1,2,8,7,6,3,4,5]=>[2,6,7,8,5,4,3,1]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[6,2,8,4,5,3,1,7]=>[1,6,3,8,7,2,4,5]=>[6,3,7,8,2,5,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[7,2,3,8,5,4,6,1]=>[1,7,6,4,8,2,3,5]=>[6,7,4,8,3,2,5,1]=>[[[[[.,[.,.]],[.,.]],.],[.,.]],.]
[4,2,3,1,8,5,6,7]=>[1,4,2,3,5,8,7,6]=>[3,4,2,5,8,7,6,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[1,8,4,2,5,3,6,7]=>[1,2,8,7,6,3,4,5]=>[2,6,7,8,5,4,3,1]=>[[.,[[[[.,[.,[.,.]]],.],.],.]],.]
[8,1,5,3,2,4,6,7]=>[1,8,7,6,4,3,5,2]=>[8,6,5,7,4,3,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[1,5,2,8,4,3,6,7]=>[1,2,5,4,8,7,6,3]=>[2,8,4,3,7,6,5,1]=>[[.,[[[.,.],.],[[[.,.],.],.]]],.]
[1,2,4,8,5,3,7,6]=>[1,2,3,4,8,6,5,7]=>[2,3,4,7,6,8,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[1,2,7,4,8,5,3,6]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,5,2,7,8,4,3,6]=>[1,2,5,8,6,4,7,3]=>[2,8,6,3,5,7,4,1]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]
[5,1,2,7,4,8,3,6]=>[1,5,4,7,3,2,6,8]=>[6,5,3,2,7,4,8,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[1,2,4,8,7,5,3,6]=>[1,2,3,4,8,6,5,7]=>[2,3,4,7,6,8,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[2,8,1,4,3,7,6,5]=>[1,2,8,5,3,4,6,7]=>[2,5,6,4,7,8,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[6,4,1,2,8,7,3,5]=>[1,6,7,3,2,4,5,8]=>[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,6,1,4,2,8,3,5]=>[1,7,3,2,6,8,5,4]=>[4,3,8,7,5,2,6,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[7,1,6,2,8,4,3,5]=>[1,7,3,6,4,2,5,8]=>[6,3,5,7,4,2,8,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[6,7,1,4,2,8,3,5]=>[1,6,8,5,2,7,3,4]=>[5,7,8,4,2,6,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[3,7,8,1,5,2,4,6]=>[1,3,8,6,2,7,4,5]=>[5,2,7,8,4,6,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[7,1,2,8,5,3,4,6]=>[1,7,4,8,6,3,2,5]=>[7,6,3,8,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],[.,.]],.]
[1,4,2,7,8,5,3,6]=>[1,2,4,7,3,5,8,6]=>[2,5,3,6,8,4,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,6,1,3,2,4,8,5]=>[1,7,8,5,2,6,4,3]=>[5,8,7,4,6,2,3,1]=>[[[[.,[[.,.],.]],[.,.]],[.,.]],.]
[1,2,7,3,5,8,4,6]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,2,7,5,8,3,4,6]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,2,5,8,3,7,4,6]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[8,6,1,3,2,4,7,5]=>[1,8,5,2,6,4,3,7]=>[4,7,6,3,5,8,2,1]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[2,8,1,7,4,3,6,5]=>[1,2,8,5,4,7,6,3]=>[2,8,5,4,7,6,3,1]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]
[1,2,8,7,4,5,3,6]=>[1,2,3,8,6,5,4,7]=>[2,3,7,6,5,8,4,1]=>[[.,[.,[[[[.,.],.],[.,.]],.]]],.]
[8,6,1,4,2,7,3,5]=>[1,8,5,2,6,7,3,4]=>[4,7,8,3,5,6,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[8,1,6,2,7,4,3,5]=>[1,8,5,7,3,6,4,2]=>[8,5,7,3,6,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[7,1,2,8,6,4,3,5]=>[1,7,3,2,4,8,5,6]=>[4,3,5,7,8,2,6,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[7,4,1,2,8,6,3,5]=>[1,7,3,2,4,5,8,6]=>[4,3,5,6,8,2,7,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[3,4,8,7,1,6,2,5]=>[1,3,8,5,2,4,7,6]=>[5,2,6,4,8,7,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[7,8,3,4,1,5,2,6]=>[1,7,2,8,6,5,3,4]=>[3,7,8,6,5,2,4,1]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[7,8,3,4,1,6,2,5]=>[1,7,2,8,5,3,4,6]=>[3,6,7,5,8,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,8,3,4,1,7,2,5]=>[1,6,7,2,8,5,3,4]=>[4,7,8,6,2,3,5,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,7,3,4,1,8,2,5]=>[1,6,8,5,2,7,3,4]=>[5,7,8,4,2,6,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[5,7,3,4,1,8,2,6]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,3,4,1,6,2,7]=>[1,5,2,8,7,3,4,6]=>[3,6,7,2,8,5,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,7,3,4,1,5,2,8]=>[1,6,5,2,7,3,4,8]=>[4,6,7,3,2,5,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[5,7,3,4,1,6,2,8]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,6,2,7,3,4,1,8]=>[1,5,3,2,6,4,7,8]=>[4,3,6,2,5,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,6,2,8,3,5,1,7]=>[1,4,8,7,2,6,5,3]=>[5,8,2,7,6,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[4,7,3,5,1,6,2,8]=>[1,4,5,2,7,3,6,8]=>[4,6,2,3,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,7,3,5,1,8,2,6]=>[1,4,5,2,7,3,6,8]=>[4,6,2,3,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,6,2,3,1,7,4,8]=>[1,5,2,6,7,4,3,8]=>[3,7,6,2,4,5,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[5,6,2,4,1,7,3,8]=>[1,5,2,6,7,3,4,8]=>[3,6,7,2,4,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,6,2,5,1,8,3,7]=>[1,4,5,2,6,8,7,3]=>[4,8,2,3,5,7,6,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,5,1,8,3,7,2,6]=>[1,4,8,6,7,2,5,3]=>[6,8,2,7,4,5,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,5,1,7,3,8,2,6]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,6,2,7,3,8,1,5]=>[1,4,7,2,6,8,5,3]=>[4,8,2,7,5,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,6,2,7,3,8,1,4]=>[1,5,3,2,6,8,4,7]=>[4,3,7,2,5,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[5,6,2,8,3,7,1,4]=>[1,5,3,2,6,7,4,8]=>[4,3,7,2,5,6,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,5,1,7,3,6,2,8]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[9,2,1,3,4,5,6,7,8]=>[1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,2,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],.],.]
[10,2,1,3,4,5,6,7,8,9]=>[1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]
[9,2,3,1,4,5,6,7,8]=>[1,9,8,7,6,5,4,2,3]=>[8,9,7,6,5,4,3,2,1]=>[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]
[4,2,3,5,6,7,8,9,1]=>[1,4,5,6,7,8,9,2,3]=>[8,9,2,3,4,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[3,4,2,5,6,7,8,9,1]=>[1,3,2,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,2,4,5,6,7,8,9,10,1]=>[1,3,4,5,6,7,8,9,10,2]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,3,4,5,6,7,8,9,10,11,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[6,5,3,2,1,4,8,7]=>[1,6,4,2,5,3,7,8]=>[4,6,3,5,2,7,8,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,8,2,4,5,7,3,1]=>[1,6,7,3,2,8,4,5]=>[5,4,7,8,2,3,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[8,7,2,4,5,3,1,6]=>[1,8,6,3,2,7,4,5]=>[5,4,7,8,3,6,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[3,6,1,4,5,2,8,7]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[5,8,7,4,3,6,2,1]=>[1,5,3,7,2,8,4,6]=>[5,3,7,2,8,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[2,8,7,4,3,6,1,5]=>[1,2,8,5,3,7,4,6]=>[2,5,7,4,8,6,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[8,1,7,4,3,6,2,5]=>[1,8,5,3,7,2,4,6]=>[6,4,7,3,8,5,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[2,1,6,8,5,7,4,3]=>[1,2,3,6,7,4,8,5]=>[2,3,6,8,4,5,7,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,5,8,4,7,6,3,1]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,8,7,4,1,6,3,2]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,8,3,6,1,4,7,2]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,8,3,6,1,2,7,5]=>[1,4,6,2,8,5,3,7]=>[4,7,2,6,3,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,8,7,4,1,6,2,5]=>[1,3,7,2,8,5,4,6]=>[4,2,7,6,8,3,5,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,8,1,2,5,6,7,4]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[8,7,1,4,2,6,3,5]=>[1,8,5,2,7,3,4,6]=>[4,6,7,3,8,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[8,6,3,1,2,4,7,5]=>[1,8,5,2,6,4,3,7]=>[4,7,6,3,5,8,2,1]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[2,8,7,4,5,1,3,6]=>[1,2,8,6,3,7,4,5]=>[2,5,7,8,4,6,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[8,7,2,4,1,6,3,5]=>[1,8,5,2,7,3,4,6]=>[4,6,7,3,8,5,2,1]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[5,8,3,6,2,4,7,1]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,6,3,2,1,4,7,5]=>[1,8,5,2,6,4,3,7]=>[4,7,6,3,5,8,2,1]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[5,8,3,6,2,1,7,4]=>[1,5,2,8,4,6,3,7]=>[3,7,5,2,6,8,4,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,8,7,4,2,6,1,3]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,1,5,8,3,6,7,4]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[5,8,3,6,1,2,7,4]=>[1,5,2,8,4,6,3,7]=>[3,7,5,2,6,8,4,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[2,4,8,1,5,6,7,3]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,8,2,1,5,6,7,3]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,4,8,2,5,6,7,1]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,8,1,4,7,6,2,3]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,3,1,6,2,7,4]=>[1,5,6,2,8,4,3,7]=>[4,7,6,2,3,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[3,5,7,2,6,4,8,1]=>[1,3,7,8,2,5,6,4]=>[5,2,8,6,7,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[8,3,4,7,6,1,5,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,7,1,3,5,8,4,2]=>[1,6,8,2,7,4,3,5]=>[4,7,6,8,2,5,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,8,7,3,6,1,4,2]=>[1,5,6,2,8,3,7,4]=>[4,6,8,2,3,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,8,3,7,6,1,5,2]=>[1,4,7,5,6,2,8,3]=>[6,8,2,4,5,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,8,4,7,1,6,5,3]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[8,1,3,2,7,6,5,4]=>[1,8,4,2,3,5,7,6]=>[4,5,3,6,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,2,3,1,7,6,5,4]=>[1,8,4,2,3,5,7,6]=>[4,5,3,6,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,3,2,1,7,6,5,4]=>[1,8,4,2,3,5,7,6]=>[4,5,3,6,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,4,2,7,1,6,5,3]=>[1,8,3,2,4,7,5,6]=>[4,3,5,7,8,6,2,1]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.]
[8,5,7,2,1,6,4,3]=>[1,8,3,7,4,2,5,6]=>[6,3,5,7,8,4,2,1]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]
[1,5,7,2,8,6,4,3]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[2,5,7,1,8,6,4,3]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[6,7,4,5,8,1,3,2]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,5,7,8,1,6,4,3]=>[1,2,5,3,7,4,8,6]=>[2,4,6,3,8,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,5,7,8,2,6,4,3]=>[1,2,5,3,7,4,8,6]=>[2,4,6,3,8,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,5,7,1,2,6,4,3]=>[1,8,3,7,4,2,5,6]=>[6,3,5,7,8,4,2,1]=>[[[[.,.],[[.,[.,[.,.]]],.]],.],.]
[8,4,1,7,2,6,5,3]=>[1,8,3,2,4,7,5,6]=>[4,3,5,7,8,6,2,1]=>[[[[.,.],[.,[[.,[.,.]],.]]],.],.]
[3,4,8,7,6,1,5,2]=>[1,3,8,2,4,7,5,6]=>[4,2,5,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[4,3,8,7,6,1,5,2]=>[1,4,7,5,6,2,3,8]=>[6,7,2,4,5,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,3,7,8,6,1,4,2]=>[1,5,6,2,3,7,4,8]=>[4,5,7,2,3,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,2,7,8,1,6,4,3]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,8,7,1,6,5,3]=>[1,4,7,5,2,3,8,6]=>[5,6,2,4,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,8,1,7,6,5,4]=>[1,3,8,4,2,5,7,6]=>[5,2,4,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[1,3,8,2,7,6,5,4]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[8,3,1,2,7,6,5,4]=>[1,8,4,2,3,5,7,6]=>[4,5,3,6,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,2,1,3,7,6,5,4]=>[1,8,4,3,2,5,7,6]=>[5,4,3,6,8,7,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[1,2,8,3,7,6,5,4]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[2,1,8,3,7,6,5,4]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[4,1,8,7,2,6,5,3]=>[1,4,7,5,2,3,8,6]=>[5,6,2,4,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,1,7,8,2,6,4,3]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,7,1,2,6,4,3]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,8,1,7,2,6,5,3]=>[1,4,7,5,2,8,3,6]=>[5,7,2,4,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,2,3,7,6,5,4]=>[1,8,4,3,2,5,7,6]=>[5,4,3,6,8,7,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[3,1,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,2]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,3,4,5,6,7,8,9,11,1,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[2,3,4,5,6,7,8,9,11,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]],.]
[10,3,4,5,6,7,8,1,2,9]=>[1,10,9,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,10,3,2,1]=>[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]
[10,1,4,5,6,7,8,9,2,3]=>[1,10,3,4,5,6,7,8,9,2]=>[10,3,4,5,6,7,8,9,2,1]=>[[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[3,1,4,5,6,7,8,9,10,11,2]=>[1,3,4,5,6,7,8,9,10,11,2]=>[11,2,3,4,5,6,7,8,9,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[11,1,4,5,6,7,8,9,10,2,3]=>[1,11,3,4,5,6,7,8,9,10,2]=>[11,3,4,5,6,7,8,9,10,2,1]=>[[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[3,7,1,5,8,2,6,4]=>[1,3,2,7,6,4,5,8]=>[3,2,6,7,5,4,8,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[2,7,1,5,8,3,6,4]=>[1,2,7,6,3,4,5,8]=>[2,5,6,7,4,3,8,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[8,1,4,5,7,6,2,3]=>[1,8,3,4,5,7,2,6]=>[7,3,4,5,8,6,2,1]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[6,4,5,1,8,7,2,3]=>[1,6,7,2,4,3,5,8]=>[4,6,5,7,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,4,6,1,8,7,2,3]=>[1,5,8,3,6,7,2,4]=>[7,4,8,2,5,6,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[4,5,6,1,8,7,2,3]=>[1,4,2,5,8,3,6,7]=>[3,6,2,4,7,8,5,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,6,1,8,2,7,4]=>[1,3,6,2,5,8,4,7]=>[4,2,7,5,3,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,5,6,1,8,3,7,4]=>[1,2,5,8,4,3,6,7]=>[2,6,5,3,7,8,4,1]=>[[.,[[[.,.],.],[[.,[.,.]],.]]],.]
[3,4,6,1,2,8,7,5]=>[1,3,6,8,5,2,4,7]=>[6,2,7,5,3,8,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[4,3,6,1,2,8,7,5]=>[1,4,2,3,6,8,5,7]=>[3,4,2,7,5,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,6,1,8,2,7,4]=>[1,5,8,4,2,3,6,7]=>[5,6,4,2,7,8,3,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[7,3,1,5,8,2,6,4]=>[1,7,6,2,3,4,5,8]=>[4,5,6,7,3,2,8,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[8,1,3,5,7,2,6,4]=>[1,8,4,5,7,6,2,3]=>[7,8,3,4,6,5,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[8,1,2,5,7,3,6,4]=>[1,8,4,5,7,6,3,2]=>[8,7,3,4,6,5,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[6,2,5,1,8,3,7,4]=>[1,6,3,5,8,4,2,7]=>[7,3,6,4,2,8,5,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[4,2,6,1,3,8,7,5]=>[1,4,2,3,6,8,5,7]=>[3,4,2,7,5,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,2,1,4,3,8,6,5]=>[1,7,6,8,5,3,2,4]=>[7,6,8,5,3,2,4,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[7,3,1,4,2,8,6,5]=>[1,7,6,8,5,2,3,4]=>[6,7,8,5,3,2,4,1]=>[[[[[.,[.,[.,.]]],.],.],[.,.]],.]
[6,3,4,1,2,8,7,5]=>[1,6,8,5,2,3,4,7]=>[5,6,7,4,2,8,3,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[2,6,4,1,3,8,7,5]=>[1,2,6,8,5,3,4,7]=>[2,6,7,5,3,8,4,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[3,7,1,4,2,8,6,5]=>[1,3,2,7,6,8,5,4]=>[3,2,8,7,5,4,6,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[4,7,1,2,3,8,6,5]=>[1,4,2,7,6,8,5,3]=>[3,8,2,7,5,4,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,7,1,2,4,8,6,5]=>[1,3,2,7,6,8,5,4]=>[3,2,8,7,5,4,6,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[8,1,5,2,7,3,6,4]=>[1,8,4,2,3,5,7,6]=>[4,5,3,6,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[7,4,1,2,3,8,6,5]=>[1,7,6,8,5,3,2,4]=>[7,6,8,5,3,2,4,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[6,4,2,1,3,8,7,5]=>[1,6,8,5,3,2,4,7]=>[6,5,7,4,2,8,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[3,5,2,4,1,8,7,6]=>[1,3,2,5,4,6,8,7]=>[3,2,5,4,6,8,7,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[7,3,1,2,4,8,6,5]=>[1,7,6,8,5,4,2,3]=>[7,8,6,5,3,2,4,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[8,1,2,3,4,7,6,5]=>[1,8,5,4,3,2,6,7]=>[6,5,4,3,7,8,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[7,2,1,3,4,8,6,5]=>[1,7,6,8,5,4,3,2]=>[8,7,6,5,3,2,4,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[2,4,3,6,5,8,1,7]=>[1,2,4,6,8,7,3,5]=>[2,7,3,8,4,6,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,6,3,5,8,1,7]=>[1,2,4,3,6,8,7,5]=>[2,4,3,8,5,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,6,3,5,1,8,7]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,4,6,3,1,5,8,7]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,4,1,6,5,3,8,7]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,4,6,1,5,3,8,7]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,2,6,5,1,3,8,7]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,2,6,5,8,1,7,3]=>[1,4,5,8,3,6,2,7]=>[7,5,2,3,6,8,4,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[4,2,6,5,8,1,3,7]=>[1,4,5,8,7,3,6,2]=>[8,6,2,3,7,5,4,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[4,2,6,5,8,3,1,7]=>[1,4,5,8,7,2,3,6]=>[6,7,2,3,8,5,4,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[2,4,6,1,5,8,3,7]=>[1,2,4,3,6,8,7,5]=>[2,4,3,8,5,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,1,6,5,8,3,7]=>[1,2,4,6,8,7,3,5]=>[2,7,3,8,4,6,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,1,4,6,5,8,3,7]=>[1,2,3,4,6,8,7,5]=>[2,3,4,8,5,7,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,4,6,1,8,5,7,3]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,1,4,6,8,5,7,3]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,1,4,6,8,5,3,7]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,4,1,6,8,5,3,7]=>[1,2,4,6,5,8,7,3]=>[2,8,3,5,4,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,6,1,8,5,3,7]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,6,8,1,5,3,7]=>[1,2,4,8,7,3,6,5]=>[2,6,3,8,7,5,4,1]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]
[4,2,6,8,5,3,1,7]=>[1,4,8,7,2,3,6,5]=>[5,6,2,8,7,4,3,1]=>[[[.,[.,.]],[[[[.,.],.],.],.]],.]
[4,2,6,8,5,1,3,7]=>[1,4,8,7,3,6,2,5]=>[7,5,2,8,6,4,3,1]=>[[[[.,.],.],[[[[.,.],.],.],.]],.]
[4,2,6,8,5,1,7,3]=>[1,4,8,3,6,2,5,7]=>[6,4,2,7,5,8,3,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[2,4,6,8,3,5,1,7]=>[1,2,4,8,7,3,6,5]=>[2,6,3,8,7,5,4,1]=>[[.,[[.,.],[[[[.,.],.],.],.]]],.]
[2,4,6,8,3,1,5,7]=>[1,2,4,8,7,5,3,6]=>[2,7,3,6,8,5,4,1]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[2,4,6,3,1,8,5,7]=>[1,2,4,3,6,8,7,5]=>[2,4,3,8,5,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,6,3,8,1,5,7]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,6,3,8,5,1,7]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,6,3,8,5,7,1]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,3,6,8,5,1,7]=>[1,2,4,6,5,8,7,3]=>[2,8,3,5,4,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,3,6,1,8,5,7]=>[1,2,4,6,8,7,5,3]=>[2,8,3,7,4,6,5,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,3,1,6,8,5,7]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[2,4,1,3,6,8,7,5]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[4,6,2,5,8,7,1,3]=>[1,4,5,8,3,2,6,7]=>[6,5,2,3,7,8,4,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[4,6,2,5,8,7,3,1]=>[1,4,5,8,2,6,7,3]=>[5,8,2,3,6,7,4,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[2,4,6,3,8,1,7,5]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,1,4,6,3,8,7,5]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,1,4,6,8,3,7,5]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[2,4,6,1,8,3,7,5]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[4,6,2,8,5,7,3,1]=>[1,4,8,2,6,7,3,5]=>[4,7,2,8,5,6,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,6,2,8,5,7,1,3]=>[1,4,8,3,2,6,7,5]=>[5,4,2,8,6,7,3,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[6,2,4,8,7,1,3,5]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,2,8,7,5,3,1]=>[1,6,5,7,3,2,4,8]=>[6,5,7,3,2,4,8,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[2,6,4,8,1,7,5,3]=>[1,2,6,7,5,3,4,8]=>[2,6,7,5,3,4,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[2,1,6,4,8,7,5,3]=>[1,2,3,6,7,5,8,4]=>[2,3,8,6,4,5,7,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,1,6,4,8,7,3,5]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,6,4,7,3,8,2,5]=>[1,2,6,8,5,3,4,7]=>[2,6,7,5,3,8,4,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[1,3,7,4,5,8,2,6]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,2,4,7,3,6,8,1]=>[1,5,3,4,7,8,2,6]=>[7,3,4,2,8,5,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[8,1,6,3,7,2,4,5]=>[1,8,5,7,4,3,6,2]=>[8,6,5,3,7,4,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[6,1,7,3,4,8,2,5]=>[1,6,8,5,4,3,7,2]=>[8,6,5,4,2,7,3,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[2,1,7,4,5,8,3,6]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,3,1,7,5,8,2,6]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,8,6,3,7,1,4,5]=>[1,2,8,5,7,4,3,6]=>[2,7,6,4,8,5,3,1]=>[[.,[[[[.,.],.],[[.,.],.]],.]],.]
[6,8,1,3,7,2,4,5]=>[1,6,2,8,5,7,4,3]=>[3,8,7,5,2,6,4,1]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]
[5,8,2,1,7,3,4,6]=>[1,5,7,4,2,8,6,3]=>[5,8,4,2,7,3,6,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,7,2,1,8,3,4,6]=>[1,5,8,6,3,2,7,4]=>[6,5,8,2,4,7,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[4,3,6,1,5,8,2,7]=>[1,4,2,3,6,8,7,5]=>[3,4,2,8,5,7,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,5,1,3,4,8,2,7]=>[1,6,8,7,2,5,4,3]=>[5,8,7,6,2,4,3,1]=>[[[.,[[[.,.],.],.]],[[.,.],.]],.]
[1,6,2,4,8,3,5,7]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,5,3,4,1,8,6,7]=>[1,2,5,3,4,6,8,7]=>[2,4,5,3,6,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[4,3,5,2,1,8,6,7]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[2,6,4,8,7,1,3,5]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,6,4,8,7,2,3,5]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,2,4,8,7,1,3,6]=>[1,5,7,3,4,8,6,2]=>[8,4,5,2,7,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[5,1,4,8,7,2,3,6]=>[1,5,7,3,4,8,6,2]=>[8,4,5,2,7,3,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,8,2,1,5,4,7,6]=>[1,3,2,8,6,4,5,7]=>[3,2,6,7,5,8,4,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[8,3,2,1,5,4,6,7]=>[1,8,7,6,4,2,3,5]=>[6,7,5,8,4,3,2,1]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[8,4,2,5,1,6,3,7]=>[1,8,7,3,2,4,5,6]=>[5,4,6,7,8,3,2,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[8,3,2,1,5,6,4,7]=>[1,8,7,4,2,3,5,6]=>[5,6,4,7,8,3,2,1]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[8,3,2,1,4,6,5,7]=>[1,8,7,5,4,2,3,6]=>[6,7,5,4,8,3,2,1]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[3,2,7,1,4,6,8,5]=>[1,3,7,8,5,4,2,6]=>[7,2,6,5,8,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,8,2,1,4,7,5,6]=>[1,3,2,8,6,7,5,4]=>[3,2,8,7,5,6,4,1]=>[[[.,.],[[[[.,.],.],[.,.]],.]],.]
[4,7,2,5,1,8,3,6]=>[1,4,5,2,7,3,6,8]=>[4,6,2,3,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,7,2,1,5,8,4,6]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,7,2,1,4,8,5,6]=>[1,3,2,7,5,4,6,8]=>[3,2,6,5,7,4,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,2,7,6,1,8,3,5]=>[1,4,6,8,5,2,3,7]=>[6,7,2,5,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,3,8,6,7,1,2,5]=>[1,4,6,2,3,8,5,7]=>[4,5,2,7,3,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,2,8,6,1,7,3,5]=>[1,4,6,7,3,8,5,2]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[3,2,8,1,6,7,4,5]=>[1,3,8,5,6,7,4,2]=>[8,2,7,4,5,6,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[3,8,2,1,7,4,5,6]=>[1,3,2,8,6,4,5,7]=>[3,2,6,7,5,8,4,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[3,2,8,1,7,4,6,5]=>[1,3,8,5,7,6,4,2]=>[8,2,7,4,6,5,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[3,2,7,1,6,4,8,5]=>[1,3,7,8,5,6,4,2]=>[8,2,7,5,6,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,2,7,6,1,3,8,5]=>[1,4,6,3,7,8,5,2]=>[8,4,2,7,3,5,6,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[5,7,8,3,4,1,2,6]=>[1,5,4,3,8,6,2,7]=>[7,4,3,2,6,8,5,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]
[4,2,7,8,1,3,6,5]=>[1,4,8,5,2,3,7,6]=>[5,6,2,4,8,7,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[4,2,6,8,1,3,7,5]=>[1,4,8,5,2,3,6,7]=>[5,6,2,4,7,8,3,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,7,2,1,8,4,5,6]=>[1,3,2,7,5,8,6,4]=>[3,2,8,5,7,4,6,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,7,2,1,8,5,4,6]=>[1,3,2,7,4,5,8,6]=>[3,2,5,6,8,4,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,7,3,8,5,1,2,6]=>[1,4,8,6,2,7,3,5]=>[5,7,2,8,4,6,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,3,7,8,6,1,2,5]=>[1,4,8,5,6,2,3,7]=>[6,7,2,4,5,8,3,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,2,7,1,8,6,4,5]=>[1,3,7,4,2,5,8,6]=>[5,2,4,6,8,3,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,2,1,6,8,5,7,4]=>[1,3,2,4,6,5,8,7]=>[3,2,4,6,5,8,7,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[4,2,6,8,1,7,3,5]=>[1,4,8,5,2,3,6,7]=>[5,6,2,4,7,8,3,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[4,3,6,8,7,1,2,5]=>[1,4,8,5,7,2,3,6]=>[6,7,2,4,8,5,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[3,2,6,1,7,8,4,5]=>[1,3,6,8,5,7,4,2]=>[8,2,7,5,3,6,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[5,3,6,4,8,7,1,2]=>[1,5,8,2,3,6,7,4]=>[4,5,8,2,6,7,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,2,7,5,4,8,6,3]=>[1,2,3,7,6,8,4,5]=>[2,3,7,8,5,4,6,1]=>[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]
[6,3,7,5,4,8,1,2]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,3,8,5,4,6,1,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,8,7,5,4,6,1,2]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,8,3,5,4,7,1,2]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,6,3,5,4,8,1,2]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,2,1,5,4,8,7,3]=>[1,6,8,3,2,4,5,7]=>[5,4,6,7,2,8,3,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[7,8,1,2,4,6,5,3]=>[1,7,5,4,2,8,3,6]=>[5,7,4,3,8,2,6,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[7,8,3,1,4,2,6,5]=>[1,7,6,2,8,5,4,3]=>[4,8,7,6,3,2,5,1]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[4,3,6,1,8,2,7,5]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,5,1,6,4,3,2,8]=>[1,7,2,5,4,6,3,8]=>[3,7,5,4,6,2,8,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[1,5,8,6,4,3,2,7]=>[1,2,5,4,6,3,8,7]=>[2,6,4,3,5,8,7,1]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[3,4,6,1,5,8,2,7]=>[1,3,6,8,7,2,4,5]=>[6,2,7,8,3,5,4,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,8,4,1,5,3,2,6]=>[1,7,2,8,6,3,4,5]=>[3,6,7,8,5,2,4,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,8,5,1,6,3,2,4]=>[1,7,2,8,4,3,5,6]=>[3,6,5,7,8,2,4,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,6,1,5,7,3,8,4]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,6,1,7,4,3,2,8]=>[1,5,4,7,2,6,3,8]=>[5,7,3,2,6,4,8,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,1,7,6,4,3,2,8]=>[1,5,4,6,3,7,2,8]=>[7,5,3,2,4,6,8,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[6,1,7,8,4,3,2,5]=>[1,6,3,7,2,4,8,5]=>[5,3,6,8,2,4,7,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,1,8,6,4,3,2,5]=>[1,7,2,3,8,5,4,6]=>[3,4,7,6,8,2,5,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,8,1,6,5,3,2,4]=>[1,7,2,8,4,6,3,5]=>[3,7,5,8,6,2,4,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,8,2,1,4,5,6,3]=>[1,7,6,5,4,2,8,3]=>[6,8,5,4,3,2,7,1]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[2,8,1,5,4,6,7,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,2,8,5,6,3,7,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,1,2,5,7,3,8,4]=>[1,6,3,2,4,5,7,8]=>[4,3,5,6,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,2,1,5,6,3,7,8]=>[1,4,5,6,3,2,7,8]=>[6,5,2,3,4,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,3,6,8,5,7,2,4]=>[1,2,3,6,7,4,8,5]=>[2,3,6,8,4,5,7,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,4,6,3,7,1,8,5]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,3,6,4,8,7,2,5]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,4,1,5,2,3,7,8]=>[1,6,3,2,4,5,7,8]=>[4,3,5,6,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,1,7,5,2,3,8,6]=>[1,4,5,2,3,7,8,6]=>[4,5,2,3,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,2,4,5,8,3,7,6]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[7,2,3,5,4,1,8,6]=>[1,7,8,6,2,3,4,5]=>[5,6,7,8,4,2,3,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[2,8,3,5,4,1,7,6]=>[1,2,8,6,3,4,5,7]=>[2,5,6,7,4,8,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[4,2,6,3,8,1,7,5]=>[1,4,3,6,2,5,8,7]=>[5,3,2,6,4,8,7,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[7,8,2,3,4,1,6,5]=>[1,7,6,2,8,5,4,3]=>[4,8,7,6,3,2,5,1]=>[[[[.,[[[.,.],.],.]],.],[.,.]],.]
[7,8,1,4,6,3,2,5]=>[1,7,2,8,5,6,3,4]=>[3,7,8,5,6,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,1,6,4,7,8,2,5]=>[1,3,6,8,5,7,2,4]=>[7,2,8,5,3,6,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[7,1,5,8,4,3,2,6]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,1,8,7,4,3,2,6]=>[1,5,4,7,2,3,8,6]=>[5,6,3,2,8,4,7,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[6,5,7,1,4,3,2,8]=>[1,6,3,7,2,5,4,8]=>[5,3,7,6,2,4,8,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,8,7,1,4,3,2,6]=>[1,5,4,2,8,6,3,7]=>[4,7,3,2,6,8,5,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[2,4,7,5,1,3,8,6]=>[1,2,4,5,3,7,8,6]=>[2,5,3,4,8,6,7,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,8,4,6,1,3,2,5]=>[1,7,2,8,5,3,4,6]=>[3,6,7,5,8,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,8,5,4,1,3,2,6]=>[1,7,2,8,6,3,5,4]=>[3,6,8,7,5,2,4,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[3,5,6,4,1,8,2,7]=>[1,3,6,8,7,2,5,4]=>[6,2,8,7,3,5,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,6,4,5,1,3,8,7]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,6,5,1,4,3,2,8]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,6,8,9,7]=>[2,3,4,5,6,9,7,8,1]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,5,7,8,9,6]=>[2,3,4,5,9,6,7,8,1]=>[[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.]
[1,2,3,6,4,7,8,9,5]=>[1,2,3,4,6,7,8,9,5]=>[2,3,4,9,5,6,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[1,2,5,3,6,7,8,9,4]=>[1,2,3,5,6,7,8,9,4]=>[2,3,9,4,5,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]],.]
[1,4,2,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,9,3]=>[2,9,3,4,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[10,6,7,8,9,1,2,3,4,5]=>[1,10,5,9,4,8,3,7,2,6]=>[9,7,5,3,10,8,6,4,2,1]=>[[[[[[.,.],.],.],[[[[.,.],.],.],.]],.],.]
[3,6,2,5,4,1,7,8]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,2,7,5,4,1,6,8]=>[1,3,7,6,2,4,5,8]=>[5,2,6,7,4,3,8,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[4,3,6,2,8,1,5,7]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,1,2,5,4,7,8,3]=>[1,6,7,8,3,2,4,5]=>[6,5,7,8,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,2,4,5,1,3,7,8]=>[1,6,3,4,5,2,7,8]=>[6,3,4,5,2,7,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,3,6,8,1,7,2,5]=>[1,4,8,5,2,3,6,7]=>[5,6,2,4,7,8,3,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[1,4,6,3,7,5,8,2]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,6,7,2,5,8,1,3]=>[1,4,2,6,8,3,7,5]=>[3,6,2,8,4,7,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,6,1,7,5,3,8]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,7,5,4,1,6,3,8]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[7,5,4,6,2,8,1,3]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,5,8,4,3,6,7,2]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,4,6,2,7,8,1,3]=>[1,5,7,2,4,3,6,8]=>[4,6,5,2,7,3,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,6,3,2,7,1,4,8]=>[1,5,7,4,2,6,3,8]=>[5,7,4,2,6,3,8,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,6,3,2,7,1,8,4]=>[1,5,7,8,4,2,6,3]=>[6,8,5,2,7,3,4,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[5,4,6,2,8,1,7,3]=>[1,5,8,3,6,2,4,7]=>[6,4,7,2,5,8,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[2,4,1,7,8,5,3,6]=>[1,2,4,7,3,5,8,6]=>[2,5,3,6,8,4,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,5,4,1,6,3,8,7]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[5,6,3,2,1,8,4,7]=>[1,5,2,6,8,7,4,3]=>[3,8,7,2,4,6,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[3,7,5,8,2,1,4,6]=>[1,3,5,2,7,4,8,6]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,3,2,8,5,1,6,4]=>[1,7,6,2,3,4,8,5]=>[4,5,6,8,3,2,7,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[5,4,7,2,1,8,6,3]=>[1,5,2,4,3,7,6,8]=>[3,5,4,2,7,6,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[7,5,8,3,2,6,1,4]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,7,3,2,1,6,8,4]=>[1,5,2,7,8,4,3,6]=>[3,7,6,2,8,4,5,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,3,7,2,5,1,8,4]=>[1,6,2,3,7,8,4,5]=>[3,4,7,8,2,5,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,7,8,3,5,2,1,4]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,5,2,1,4,7,6,8]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,3,5,2,1,8,4,6]=>[1,7,4,2,3,5,6,8]=>[4,5,3,6,7,2,8,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[2,5,4,1,3,7,8,6]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,4,1,7,8,3,6,5]=>[1,2,4,7,6,3,5,8]=>[2,6,3,7,5,4,8,1]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[3,7,2,8,6,1,4,5]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,6,8,2,1,7,4,5]=>[1,3,8,5,2,6,7,4]=>[5,2,8,4,6,7,3,1]=>[[[.,.],[[[.,.],[.,[.,.]]],.]],.]
[5,3,8,2,1,4,7,6]=>[1,5,2,3,8,6,4,7]=>[3,4,7,2,6,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,8,7,3,2,1,5,6]=>[1,4,3,7,5,2,8,6]=>[6,3,2,5,8,4,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[3,5,2,1,4,6,8,7]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,8,3,5,4,6,1,2]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,6,3,7,5,2,4,1]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,4,1,6,3,2,8,7]=>[1,5,3,2,4,6,7,8]=>[4,3,5,2,6,7,8,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,4,1,6,2,3,8,7]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[5,7,1,6,2,8,3,4]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,1,6,2,8,4,3]=>[1,5,2,7,4,6,8,3]=>[3,8,5,2,6,4,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,7,6,5,1,8,3,4]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[2,7,6,5,1,8,4,3]=>[1,2,7,4,5,3,6,8]=>[2,6,4,5,7,3,8,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[2,3,6,5,1,4,8,7]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,3,6,4,1,5,8,7]=>[1,2,3,6,5,4,7,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,3,6,1,5,4,8,7]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,3,5,1,8,6,4,2]=>[1,7,4,2,3,5,8,6]=>[4,5,3,6,8,2,7,1]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[2,7,6,4,1,8,5,3]=>[1,2,7,5,3,6,8,4]=>[2,5,8,4,6,3,7,1]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[2,1,7,6,3,8,4,5]=>[1,2,3,7,4,6,8,5]=>[2,3,5,8,6,4,7,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[5,7,3,6,2,8,4,1]=>[1,5,2,7,4,6,8,3]=>[3,8,5,2,6,4,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[7,3,5,1,8,6,2,4]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,3,4,8,7,6,1,5]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[2,3,4,8,5,7,1,6]=>[1,2,3,4,8,6,7,5]=>[2,3,4,8,6,7,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[2,1,4,5,8,7,3,6]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[7,3,5,4,8,1,6,2]=>[1,7,6,2,3,5,8,4]=>[4,5,8,6,3,2,7,1]=>[[[[.,[.,[[.,.],.]]],.],[.,.]],.]
[2,3,4,8,7,5,6,1]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[2,3,4,8,7,5,1,6]=>[1,2,3,4,8,6,5,7]=>[2,3,4,7,6,8,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[2,7,6,5,4,8,1,3]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[7,3,5,6,8,4,1,2]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,3,5,6,8,1,2,4]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,4,1,5,8,7,3,2]=>[1,6,7,3,2,4,5,8]=>[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,7,1,6,3,8,2,4]=>[1,5,3,2,7,4,6,8]=>[4,3,6,2,7,5,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[7,4,1,5,8,2,3,6]=>[1,7,3,2,4,5,8,6]=>[4,3,5,6,8,2,7,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[2,7,6,4,5,8,3,1]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,7,3,6,1,8,4,2]=>[1,5,2,7,4,6,8,3]=>[3,8,5,2,6,4,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,1,4,5,8,6,3,7]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[7,3,5,4,8,6,2,1]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,3,4,8,7,1,6,5]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[2,3,4,8,1,7,6,5]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,4,8,1,6,7,5]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,4,8,5,1,7,6]=>[1,2,3,4,8,6,5,7]=>[2,3,4,7,6,8,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[7,4,3,5,8,2,1,6]=>[1,7,2,4,5,8,6,3]=>[3,8,4,5,7,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,1,4,5,8,3,7,6]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,3,4,8,5,1,6,7]=>[1,2,3,4,8,7,6,5]=>[2,3,4,8,7,6,5,1]=>[[.,[.,[.,[[[[.,.],.],.],.]]]],.]
[2,3,4,8,1,5,7,6]=>[1,2,3,4,8,6,5,7]=>[2,3,4,7,6,8,5,1]=>[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]
[7,8,2,6,1,5,3,4]=>[1,7,3,2,8,4,6,5]=>[4,3,6,8,7,2,5,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[7,8,1,6,2,5,3,4]=>[1,7,3,2,8,4,6,5]=>[4,3,6,8,7,2,5,1]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[1,8,6,7,2,5,3,4]=>[1,2,8,4,7,3,6,5]=>[2,6,4,8,7,5,3,1]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[1,8,5,7,2,6,3,4]=>[1,2,8,4,7,3,5,6]=>[2,6,4,7,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[2,8,6,7,1,5,3,4]=>[1,2,8,4,7,3,6,5]=>[2,6,4,8,7,5,3,1]=>[[.,[[[.,.],[[[.,.],.],.]],.]],.]
[2,8,5,7,1,6,3,4]=>[1,2,8,4,7,3,5,6]=>[2,6,4,7,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[2,8,1,7,5,6,3,4]=>[1,2,8,4,7,3,5,6]=>[2,6,4,7,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[1,8,2,7,5,6,3,4]=>[1,2,8,4,7,3,5,6]=>[2,6,4,7,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[2,8,4,7,1,6,3,5]=>[1,2,8,5,3,4,7,6]=>[2,5,6,4,8,7,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[4,8,2,7,1,6,3,5]=>[1,4,7,3,2,8,5,6]=>[5,4,2,7,8,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[4,8,1,7,2,6,3,5]=>[1,4,7,3,2,8,5,6]=>[5,4,2,7,8,3,6,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,8,4,7,2,6,3,5]=>[1,2,8,5,3,4,7,6]=>[2,5,6,4,8,7,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[4,8,1,7,5,6,2,3]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,8,4,7,5,6,2,3]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[1,8,3,7,5,6,2,4]=>[1,2,8,4,7,3,5,6]=>[2,6,4,7,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[3,8,1,7,5,6,2,4]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[1,8,3,7,2,6,4,5]=>[1,2,8,5,3,4,7,6]=>[2,5,6,4,8,7,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[3,8,2,7,5,6,1,4]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[4,8,2,7,5,6,1,3]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,3,7,5,6,1,2]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,8,4,7,5,6,1,3]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[2,8,3,7,5,6,1,4]=>[1,2,8,4,7,3,5,6]=>[2,6,4,7,8,5,3,1]=>[[.,[[[.,.],[[.,[.,.]],.]],.]],.]
[2,8,3,7,1,6,4,5]=>[1,2,8,5,3,4,7,6]=>[2,5,6,4,8,7,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[2,8,1,7,3,6,4,5]=>[1,2,8,5,3,4,7,6]=>[2,5,6,4,8,7,3,1]=>[[.,[[[.,[.,.]],[[.,.],.]],.]],.]
[7,5,2,8,6,4,1,3]=>[1,7,2,5,6,4,8,3]=>[3,8,6,4,5,2,7,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[7,5,1,8,6,2,3,4]=>[1,7,3,2,5,6,4,8]=>[4,3,7,5,6,2,8,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[7,4,8,6,1,5,2,3]=>[1,7,2,4,6,5,3,8]=>[3,7,4,6,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[1,6,7,4,2,8,5,3]=>[1,2,6,8,3,7,5,4]=>[2,5,8,7,3,6,4,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[7,1,8,3,5,6,2,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,8,6,2,5,1,4]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,4,2,8,6,1,3,5]=>[1,7,3,2,4,8,5,6]=>[4,3,5,7,8,2,6,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[7,2,8,3,4,6,1,5]=>[1,7,2,3,8,5,4,6]=>[3,4,7,6,8,2,5,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,5,7,8,2,6,3,4]=>[1,2,5,3,7,4,8,6]=>[2,4,6,3,8,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,2,3,8,5,7,4,1]=>[1,6,7,4,8,2,3,5]=>[6,7,4,8,2,3,5,1]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[6,3,1,4,8,5,2,7]=>[1,6,5,8,7,2,3,4]=>[6,7,8,3,2,5,4,1]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[2,6,3,7,8,5,4,1]=>[1,2,6,5,8,3,4,7]=>[2,6,7,4,3,8,5,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[2,4,7,3,5,6,8,1]=>[1,2,4,3,7,8,5,6]=>[2,4,3,7,8,5,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,4,7,3,6,8,5,1]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[3,1,5,4,7,8,2,6]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[5,3,1,4,8,2,6,7]=>[1,5,8,7,6,2,3,4]=>[6,7,8,2,5,4,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,2,3,8,4,6,7,1]=>[1,5,4,8,2,3,6,7]=>[5,6,3,2,7,8,4,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[4,8,2,3,5,7,1,6]=>[1,4,3,2,8,6,7,5]=>[4,3,2,8,6,7,5,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[1,4,7,8,3,6,2,5]=>[1,2,4,8,5,3,7,6]=>[2,6,3,5,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[6,3,8,2,5,1,7,4]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,8,1,4,7,2,5]=>[1,6,7,2,3,8,5,4]=>[4,5,8,7,2,3,6,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[5,8,1,3,6,2,7,4]=>[1,5,6,2,8,4,3,7]=>[4,7,6,2,3,8,5,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[1,5,7,4,2,6,8,3]=>[1,2,5,3,7,8,4,6]=>[2,4,7,3,8,5,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,8,1,4,2,6,3,7]=>[1,5,2,8,7,3,4,6]=>[3,6,7,2,8,5,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,8,4,1,2,7,6,3]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,5,1,2,8,7,3,4]=>[1,6,7,3,2,5,8,4]=>[5,4,8,6,2,3,7,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[4,5,1,7,2,6,3,8]=>[1,4,7,3,2,5,6,8]=>[5,4,2,6,7,3,8,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[3,5,7,1,8,6,2,4]=>[1,3,7,2,5,8,4,6]=>[4,2,7,5,8,3,6,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,4,5,8,2,7,1,6]=>[1,3,5,2,4,8,6,7]=>[4,2,5,3,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[3,5,2,6,8,1,7,4]=>[1,3,2,5,8,4,6,7]=>[3,2,6,4,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[4,3,1,2,5,6,8,7]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,3,6,8,4,7,2,1]=>[1,5,4,8,2,3,6,7]=>[5,6,3,2,7,8,4,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[4,7,2,5,8,3,6,1]=>[1,4,5,8,2,7,6,3]=>[5,8,2,3,7,6,4,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[5,2,6,8,4,3,7,1]=>[1,5,4,8,2,3,6,7]=>[5,6,3,2,7,8,4,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[3,1,6,5,4,8,2,7]=>[1,3,6,8,7,2,4,5]=>[6,2,7,8,3,5,4,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,1,6,5,8,3,2,7]=>[1,4,5,8,7,2,3,6]=>[6,7,2,3,8,5,4,1]=>[[[.,[.,.]],[.,[[[.,.],.],.]]],.]
[8,5,4,7,6,3,2,1]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,7,1,5,4,3,8,6]=>[1,2,7,8,6,3,4,5]=>[2,6,7,8,5,3,4,1]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[8,2,1,5,4,3,7,6]=>[1,8,6,3,2,4,5,7]=>[5,4,6,7,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[8,4,1,5,7,3,2,6]=>[1,8,6,3,2,4,5,7]=>[5,4,6,7,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[8,5,6,7,1,3,2,4]=>[1,8,4,7,2,5,3,6]=>[5,7,3,6,8,4,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[2,7,6,1,4,3,8,5]=>[1,2,7,8,5,4,3,6]=>[2,7,6,5,8,3,4,1]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[5,7,2,8,4,3,6,1]=>[1,5,4,8,2,7,6,3]=>[5,8,3,2,7,6,4,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[6,7,8,2,4,3,5,1]=>[1,6,3,8,2,7,5,4]=>[5,3,8,7,2,6,4,1]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[4,7,6,2,8,3,5,1]=>[1,4,2,7,5,8,3,6]=>[3,7,2,5,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,3,6,2,4,7,5,1]=>[1,8,2,3,6,7,5,4]=>[3,4,8,7,5,6,2,1]=>[[[.,[.,[[[.,.],.],[.,.]]]],.],.]
[5,7,3,8,4,6,2,1]=>[1,5,4,8,2,7,3,6]=>[5,7,3,2,8,6,4,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[8,7,2,1,4,3,6,5]=>[1,8,5,4,2,7,6,3]=>[5,8,4,3,7,6,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[8,7,3,1,4,6,2,5]=>[1,8,5,4,2,7,3,6]=>[5,7,4,3,8,6,2,1]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[8,4,6,5,7,1,2,3]=>[1,8,3,6,2,4,5,7]=>[5,3,6,7,4,8,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[4,7,6,5,8,1,2,3]=>[1,4,5,8,3,6,2,7]=>[7,5,2,3,6,8,4,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[8,1,2,3,4,5,6,7,9]=>[1,8,7,6,5,4,3,2,9]=>[8,7,6,5,4,3,2,9,1]=>[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]
[1,9,2,3,4,5,6,7,8]=>[1,2,9,8,7,6,5,4,3]=>[2,9,8,7,6,5,4,3,1]=>[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]
[9,1,2,3,4,5,6,7,8,10]=>[1,9,8,7,6,5,4,3,2,10]=>[9,8,7,6,5,4,3,2,10,1]=>[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]
[1,10,2,3,4,5,6,7,8,9]=>[1,2,10,9,8,7,6,5,4,3]=>[2,10,9,8,7,6,5,4,3,1]=>[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]
[10,1,2,3,4,5,6,7,8,9,11]=>[1,10,9,8,7,6,5,4,3,2,11]=>[10,9,8,7,6,5,4,3,2,11,1]=>[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.]
[1,11,2,3,4,5,6,7,8,9,10]=>[1,2,11,10,9,8,7,6,5,4,3]=>[2,11,10,9,8,7,6,5,4,3,1]=>[[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]],.]
[3,4,7,2,8,1,6,5]=>[1,3,7,6,2,4,5,8]=>[5,2,6,7,4,3,8,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[1,4,7,2,5,8,6,3]=>[1,2,4,3,7,6,8,5]=>[2,4,3,8,6,5,7,1]=>[[.,[[.,.],[[[.,.],.],[.,.]]]],.]
[7,3,8,4,5,6,1,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,5,6,4,8,7,1,2]=>[1,3,6,7,2,5,8,4]=>[5,2,8,6,3,4,7,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[4,6,8,5,3,7,1,2]=>[1,4,5,3,8,2,6,7]=>[6,4,2,3,7,8,5,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[1,6,5,4,2,8,7,3]=>[1,2,6,8,3,5,4,7]=>[2,5,7,6,3,8,4,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[7,8,1,4,2,6,5,3]=>[1,7,5,2,8,3,4,6]=>[4,6,7,3,8,2,5,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[1,3,6,4,8,2,5,7]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[4,8,5,3,1,7,2,6]=>[1,4,3,5,2,8,6,7]=>[5,3,2,4,7,8,6,1]=>[[[[.,.],.],[.,[[.,[.,.]],.]]],.]
[7,4,5,3,2,8,1,6]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[5,8,3,6,1,4,2,7]=>[1,5,2,8,7,3,4,6]=>[3,6,7,2,8,5,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,5,8,6,4,1,3,7]=>[1,2,5,4,6,3,8,7]=>[2,6,4,3,5,8,7,1]=>[[.,[[[.,.],.],[.,[[.,.],.]]]],.]
[1,4,6,2,5,8,3,7]=>[1,2,4,3,6,8,7,5]=>[2,4,3,8,5,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[7,1,8,6,3,4,2,5]=>[1,7,2,3,8,5,4,6]=>[3,4,7,6,8,2,5,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,2,8,3,6,5,7,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,1,3,2,7,5,8,4]=>[1,6,5,7,8,4,2,3]=>[7,8,6,3,2,4,5,1]=>[[[[[.,[.,.]],.],.],[.,[.,.]]],.]
[5,8,6,7,3,2,1,4]=>[1,5,3,6,2,8,4,7]=>[5,3,7,2,4,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[1,6,4,3,7,2,8,5]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,1,3,4,5,2,8,6]=>[1,7,8,6,2,3,4,5]=>[5,6,7,8,4,2,3,1]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[1,8,3,5,4,2,7,6]=>[1,2,8,6,3,4,5,7]=>[2,5,6,7,4,8,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[4,1,6,3,8,2,7,5]=>[1,4,3,6,2,5,8,7]=>[5,3,2,6,4,8,7,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[7,8,2,4,6,3,1,5]=>[1,7,2,8,5,6,3,4]=>[3,7,8,5,6,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,2,6,4,7,8,1,5]=>[1,3,6,8,5,7,2,4]=>[7,2,8,5,3,6,4,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[7,2,5,8,3,4,1,6]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,3,8,7,1,2,6,4]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,5,3,8,2,1,7,4]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[7,5,8,4,1,2,3,6]=>[1,7,3,8,6,2,5,4]=>[6,3,8,7,5,2,4,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[5,8,7,4,1,3,2,6]=>[1,5,2,8,6,3,7,4]=>[3,6,8,2,5,7,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,5,7,8,4,1,2,6]=>[1,3,7,2,5,4,8,6]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,4,7,5,3,8,2,6]=>[1,2,4,5,3,7,6,8]=>[2,5,3,4,7,6,8,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[7,8,4,6,3,1,2,5]=>[1,7,2,8,5,3,4,6]=>[3,6,7,5,8,2,4,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,6,8,4,2,3,1,7]=>[1,5,2,6,3,8,7,4]=>[3,5,8,2,4,7,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,8,5,4,3,1,2,7]=>[1,6,2,8,7,3,5,4]=>[3,6,8,7,2,5,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[8,6,5,1,2,4,7,3]=>[1,8,3,5,2,6,4,7]=>[5,3,7,4,6,8,2,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[6,7,5,8,2,1,4,3]=>[1,6,2,7,4,8,3,5]=>[3,7,5,8,2,4,6,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,7,5,8,2,6,4,3]=>[1,2,7,4,8,3,5,6]=>[2,6,4,7,8,3,5,1]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[1,3,8,5,7,6,2,4]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[6,3,8,5,7,1,2,4]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,5,2,1,4,7,3]=>[1,6,4,2,8,3,5,7]=>[4,6,3,7,2,8,5,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[3,8,2,5,6,1,7,4]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,8,1,5,6,3,7,4]=>[1,2,8,4,5,6,3,7]=>[2,7,4,5,6,8,3,1]=>[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]
[8,1,2,5,6,3,7,4]=>[1,8,4,5,6,3,2,7]=>[7,6,3,4,5,8,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[5,1,8,6,2,7,3,4]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,5,8,6,1,7,3,4]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[3,8,6,5,7,1,2,4]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[5,1,7,6,8,4,2,3]=>[1,5,8,3,7,2,4,6]=>[6,4,7,2,8,5,3,1]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[5,1,3,7,8,6,2,4]=>[1,5,8,4,7,2,3,6]=>[6,7,4,2,8,5,3,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[3,2,8,5,7,6,1,4]=>[1,3,8,4,5,7,2,6]=>[7,2,4,5,8,6,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[5,2,8,6,1,7,3,4]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,2,8,6,5,7,3,4]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,2,1,3,6,7,8,5]=>[1,4,3,2,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[8,2,5,6,3,7,1,4]=>[1,8,4,6,7,2,3,5]=>[6,7,3,8,4,5,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[7,2,6,5,4,1,8,3]=>[1,7,8,3,6,2,4,5]=>[6,4,7,8,5,2,3,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[6,1,3,5,4,7,8,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,5,6,2,4,1,8,3]=>[1,7,8,3,6,2,5,4]=>[6,4,8,7,5,2,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[4,3,1,2,6,7,8,5]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,1,6,5,7,3,2,4]=>[1,8,4,5,7,2,3,6]=>[6,7,3,4,8,5,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[5,8,1,6,3,7,2,4]=>[1,5,3,2,8,4,6,7]=>[4,3,6,2,7,8,5,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[1,7,6,5,4,2,8,3]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,7,6,1,4,2,8,3]=>[1,5,4,2,7,8,3,6]=>[4,7,3,2,8,5,6,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[4,1,7,3,5,6,8,2]=>[1,4,3,7,8,2,5,6]=>[6,3,2,7,8,4,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[2,7,4,1,5,6,8,3]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,7,6,4,5,2,8,3]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[3,8,1,6,5,7,2,4]=>[1,3,2,8,4,6,7,5]=>[3,2,5,8,6,7,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[8,1,3,5,7,6,2,4]=>[1,8,4,5,7,2,3,6]=>[6,7,3,4,8,5,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[7,8,5,4,1,6,2,3]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,5,6,4,2,1,8,3]=>[1,7,8,3,6,2,5,4]=>[6,4,8,7,5,2,3,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[8,3,2,6,5,7,1,4]=>[1,8,4,6,7,2,3,5]=>[6,7,3,8,4,5,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[7,4,6,2,5,1,8,3]=>[1,7,8,3,6,2,4,5]=>[6,4,7,8,5,2,3,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[6,1,4,3,5,7,8,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,1,3,4,5,7,8,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,2,6,4,5,1,8,3]=>[1,7,8,3,6,2,4,5]=>[6,4,7,8,5,2,3,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[8,2,3,6,5,7,1,4]=>[1,8,4,6,7,2,3,5]=>[6,7,3,8,4,5,2,1]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[5,4,7,3,6,8,1,2]=>[1,5,6,8,2,4,3,7]=>[5,7,6,2,3,8,4,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[3,4,7,2,5,1,6,8]=>[1,3,7,6,2,4,5,8]=>[5,2,6,7,4,3,8,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[1,4,7,2,5,8,3,6]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[3,6,2,4,7,1,5,8]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[6,8,3,4,5,7,1,2]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,3,8,6,4,5,1,2]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[1,2,7,6,5,8,3,4]=>[1,2,3,7,4,6,8,5]=>[2,3,5,8,6,4,7,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[4,3,6,2,5,1,8,7]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,8,3,2,5,1,4,6]=>[1,7,4,2,8,6,3,5]=>[4,7,3,8,6,2,5,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[6,1,2,5,8,7,3,4]=>[1,6,7,3,2,4,5,8]=>[5,4,6,7,2,3,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,1,3,6,8,4,2,5]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,1,5,8,3,6,2,4]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,1,8,7,2,3,6,4]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,1,5,7,4,2,8,3]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[2,4,7,5,1,8,3,6]=>[1,2,4,5,3,7,6,8]=>[2,5,3,4,7,6,8,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,8,5,1,3,4,2,7]=>[1,6,4,2,8,7,3,5]=>[4,7,3,8,2,6,5,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[2,8,3,4,5,1,7,6]=>[1,2,8,6,3,4,5,7]=>[2,5,6,7,4,8,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[6,2,4,3,1,5,7,8]=>[1,6,5,2,3,4,7,8]=>[4,5,6,3,2,7,8,1]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[4,2,8,3,1,7,5,6]=>[1,4,3,8,6,7,5,2]=>[8,3,2,7,5,6,4,1]=>[[[[.,.],.],[[[.,.],[.,.]],.]],.]
[2,4,7,3,6,1,8,5]=>[1,2,4,3,7,8,5,6]=>[2,4,3,7,8,5,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[5,8,7,6,3,1,2,4]=>[1,5,3,7,2,8,4,6]=>[5,3,7,2,8,4,6,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[7,5,6,8,1,4,3,2]=>[1,7,3,6,4,8,2,5]=>[7,3,5,8,4,2,6,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[2,4,7,1,6,5,3,8]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,2,7,8,5,4,3,6]=>[1,2,3,7,4,8,6,5]=>[2,3,5,8,7,4,6,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[6,3,1,2,8,4,5,7]=>[1,6,4,2,3,5,8,7]=>[4,5,3,6,2,8,7,1]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[4,2,1,3,6,5,8,7]=>[1,4,3,2,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[2,8,1,4,5,6,3,7]=>[1,2,8,7,3,4,5,6]=>[2,5,6,7,8,4,3,1]=>[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]
[4,2,6,1,8,5,3,7]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,8,2,1,4,5,3,6]=>[1,7,3,2,8,6,5,4]=>[4,3,8,7,6,2,5,1]=>[[[[.,.],[[[.,.],.],.]],[.,.]],.]
[7,8,4,1,5,3,6,2]=>[1,7,6,3,4,2,8,5]=>[6,4,5,8,3,2,7,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[7,5,1,6,4,3,8,2]=>[1,7,8,2,5,4,6,3]=>[4,8,6,5,7,2,3,1]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[5,8,1,6,3,4,7,2]=>[1,5,3,2,8,4,6,7]=>[4,3,6,2,7,8,5,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[6,8,1,7,5,2,3,4]=>[1,6,2,8,4,7,3,5]=>[3,7,5,8,2,6,4,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,6,1,8,5,3,2,4]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,6,1,5,7,4,2,8]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,1,7,4,8,3]=>[1,2,5,7,8,3,6,4]=>[2,6,8,3,7,4,5,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,1,7,6,4,8,3,2]=>[1,5,4,6,8,2,3,7]=>[6,7,3,2,4,8,5,1]=>[[[[.,[.,.]],.],[.,[[.,.],.]]],.]
[6,1,7,8,5,3,4,2]=>[1,6,3,7,4,8,2,5]=>[7,3,5,8,2,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[7,1,8,6,5,4,2,3]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[2,6,5,7,3,4,8,1]=>[1,2,6,4,7,8,3,5]=>[2,7,4,8,3,5,6,1]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[8,5,3,6,2,7,4,1]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,3,7,4,6,8,2,5]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,7,5,6,3,2,8,1]=>[1,4,6,2,7,8,3,5]=>[4,7,2,8,3,5,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,7,6,5,4,8,2,3]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[8,1,6,5,7,2,4,3]=>[1,8,3,6,2,4,5,7]=>[5,3,6,7,4,8,2,1]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,2,7,6,8,3,4,5]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[2,1,7,5,6,8,3,4]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,8,5,6,2,7,3,1]=>[1,4,6,7,3,5,2,8]=>[7,5,2,6,3,4,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[7,8,5,2,4,6,3,1]=>[1,7,3,5,4,2,8,6]=>[6,3,5,4,8,2,7,1]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[2,8,6,3,7,4,5,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,8,1,6,2,4,5,3]=>[1,7,5,2,8,3,4,6]=>[4,6,7,3,8,2,5,1]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[6,8,1,4,7,2,5,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,8,4,1,7,2,6,5]=>[1,3,4,2,8,5,7,6]=>[4,2,3,6,8,7,5,1]=>[[[.,.],[.,[[.,[[.,.],.]],.]]],.]
[5,4,7,1,8,3,2,6]=>[1,5,8,6,3,7,2,4]=>[7,5,8,2,4,6,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[3,7,4,1,8,5,2,6]=>[1,3,4,2,7,5,8,6]=>[4,2,3,6,8,5,7,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[1,6,2,5,8,3,4,7]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[8,5,1,3,7,2,6,4]=>[1,8,4,3,2,5,7,6]=>[5,4,3,6,8,7,2,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[8,4,2,1,7,3,6,5]=>[1,8,5,7,6,3,2,4]=>[7,6,8,3,5,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[7,4,2,1,8,5,3,6]=>[1,7,3,2,4,5,8,6]=>[4,3,5,6,8,2,7,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[3,7,6,8,4,5,2,1]=>[1,3,6,5,4,8,2,7]=>[7,2,5,4,3,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,7,6,8,5,3,4,1]=>[1,2,7,4,8,3,6,5]=>[2,6,4,8,7,3,5,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[1,7,6,8,5,4,2,3]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,4,8,6,7,5,2,3]=>[1,2,4,6,5,7,3,8]=>[2,7,3,5,4,6,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,3,8,5,4,6,2,1]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,8,5,6,7,2,1]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,3,5,8,4,7,2,1]=>[1,6,7,2,3,5,4,8]=>[4,5,7,6,2,3,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[5,4,3,8,6,7,2,1]=>[1,5,6,7,2,4,8,3]=>[5,8,6,2,3,4,7,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[5,4,2,8,7,3,6,1]=>[1,5,7,6,3,2,4,8]=>[6,5,7,2,4,3,8,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,2,8,5,7,4,6,1]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[1,3,8,7,5,6,2,4]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[2,1,8,7,4,6,3,5]=>[1,2,3,8,5,4,7,6]=>[2,3,6,5,8,7,4,1]=>[[.,[.,[[[.,.],[[.,.],.]],.]]],.]
[3,1,8,5,7,6,2,4]=>[1,3,8,4,5,7,2,6]=>[7,2,4,5,8,6,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[6,1,5,8,7,4,2,3]=>[1,6,4,8,3,5,7,2]=>[8,5,3,6,2,7,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[5,8,6,7,4,3,2,1]=>[1,5,4,7,2,8,3,6]=>[5,7,3,2,8,4,6,1]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[4,8,7,5,6,3,2,1]=>[1,4,5,6,3,7,2,8]=>[7,5,2,3,4,6,8,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[4,2,1,6,3,5,8,7]=>[1,4,6,5,3,2,7,8]=>[6,5,2,4,3,7,8,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[6,2,1,4,3,8,5,7]=>[1,6,8,7,5,3,2,4]=>[7,6,8,5,2,4,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[8,2,1,4,3,6,5,7]=>[1,8,7,5,3,2,4,6]=>[6,5,7,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[8,2,4,1,3,6,5,7]=>[1,8,7,5,3,4,2,6]=>[7,5,6,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[6,2,4,1,3,8,5,7]=>[1,6,8,7,5,3,4,2]=>[8,6,7,5,2,4,3,1]=>[[[[[.,.],[.,.]],.],[[.,.],.]],.]
[4,2,6,1,3,5,8,7]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,1,6,4,3,5,8,7]=>[1,2,3,6,5,4,7,8]=>[2,3,6,5,4,7,8,1]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[2,6,1,4,3,5,8,7]=>[1,2,6,5,3,4,7,8]=>[2,5,6,4,3,7,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[2,6,4,1,3,5,8,7]=>[1,2,6,5,3,4,7,8]=>[2,5,6,4,3,7,8,1]=>[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]
[8,4,2,1,3,6,5,7]=>[1,8,7,5,3,2,4,6]=>[6,5,7,4,8,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[4,6,2,1,8,3,5,7]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,6,1,4,3,8,5,7]=>[1,2,6,8,7,5,3,4]=>[2,7,8,6,3,5,4,1]=>[[.,[[[.,[.,.]],.],[[.,.],.]]],.]
[2,8,1,4,3,6,5,7]=>[1,2,8,7,5,3,4,6]=>[2,6,7,5,8,4,3,1]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[2,8,4,1,3,6,5,7]=>[1,2,8,7,5,3,4,6]=>[2,6,7,5,8,4,3,1]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[4,8,2,1,3,6,5,7]=>[1,4,2,8,7,5,3,6]=>[3,7,2,6,8,5,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[8,6,2,1,4,3,5,7]=>[1,8,7,5,4,2,6,3]=>[6,8,5,4,7,3,2,1]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[2,1,8,4,6,3,5,7]=>[1,2,3,8,7,5,6,4]=>[2,3,8,6,7,5,4,1]=>[[.,[.,[[[[.,.],[.,.]],.],.]]],.]
[2,1,6,4,8,3,5,7]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[2,6,1,4,8,3,5,7]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,6,4,1,8,3,5,7]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,6,4,8,1,3,5,7]=>[1,2,6,3,4,8,7,5]=>[2,4,5,8,3,7,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,2,6,1,3,8,5,7]=>[1,4,2,3,6,8,7,5]=>[3,4,2,8,5,7,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,2,6,1,8,3,5,7]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,2,4,1,8,3,5,7]=>[1,6,3,4,2,5,8,7]=>[5,3,4,6,2,8,7,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[8,2,4,1,6,3,5,7]=>[1,8,7,5,6,3,4,2]=>[8,6,7,4,5,3,2,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[4,2,1,6,3,8,5,7]=>[1,4,6,8,7,5,3,2]=>[8,7,2,6,3,5,4,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[4,2,1,3,6,8,5,7]=>[1,4,3,2,5,6,8,7]=>[4,3,2,5,6,8,7,1]=>[[[[.,.],.],[.,[.,[[.,.],.]]]],.]
[2,1,4,3,8,6,5,7]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,8,7,6,1]=>[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]
[4,2,1,3,8,6,5,7]=>[1,4,3,2,5,8,7,6]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[4,2,1,8,3,6,5,7]=>[1,4,8,7,5,3,2,6]=>[7,6,2,5,8,4,3,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[4,2,1,8,6,3,5,7]=>[1,4,8,7,5,6,3,2]=>[8,7,2,5,6,4,3,1]=>[[[[.,.],.],[[[.,[.,.]],.],.]],.]
[8,2,1,6,4,3,5,7]=>[1,8,7,5,4,6,3,2]=>[8,7,5,4,6,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[8,2,6,1,4,3,5,7]=>[1,8,7,5,4,2,3,6]=>[6,7,5,4,8,3,2,1]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[4,2,8,1,6,3,5,7]=>[1,4,2,3,8,7,5,6]=>[3,4,2,7,8,6,5,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,2,8,1,3,6,5,7]=>[1,4,2,3,8,7,5,6]=>[3,4,2,7,8,6,5,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[2,4,1,8,3,6,5,7]=>[1,2,4,8,7,5,3,6]=>[2,7,3,6,8,5,4,1]=>[[.,[[.,.],[[[.,[.,.]],.],.]]],.]
[2,4,8,6,1,3,5,7]=>[1,2,4,6,3,8,7,5]=>[2,5,3,8,4,7,6,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[8,2,6,4,1,3,5,7]=>[1,8,7,5,2,3,6,4]=>[5,6,8,4,7,3,2,1]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[4,6,8,2,1,3,5,7]=>[1,4,2,6,3,8,7,5]=>[3,5,2,8,4,7,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,6,8,4,1,3,5,7]=>[1,2,6,3,8,7,5,4]=>[2,4,8,7,3,6,5,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[2,6,8,1,4,3,5,7]=>[1,2,6,3,8,7,5,4]=>[2,4,8,7,3,6,5,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[2,6,1,8,4,3,5,7]=>[1,2,6,3,4,8,7,5]=>[2,4,5,8,3,7,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,8,6,4,1,3,5,7]=>[1,2,8,7,5,3,6,4]=>[2,6,8,5,7,4,3,1]=>[[.,[[[[.,[.,.]],[.,.]],.],.]],.]
[4,8,6,2,1,3,5,7]=>[1,4,2,8,7,5,3,6]=>[3,7,2,6,8,5,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,8,4,2,1,3,5,7]=>[1,6,3,4,2,8,7,5]=>[5,3,4,8,2,7,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[5,2,4,3,8,1,7,6]=>[1,5,8,6,2,3,4,7]=>[5,6,7,2,4,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,6,1,5,2,8,7]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,3,5,2,8,1,7,6]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,1,8,3,4,2,7,6]=>[1,5,4,3,8,6,2,7]=>[7,4,3,2,6,8,5,1]=>[[[[[.,.],.],.],[[.,[.,.]],.]],.]
[5,4,8,1,3,2,7,6]=>[1,5,3,8,6,2,4,7]=>[6,3,7,2,5,8,4,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[5,1,7,6,8,3,4,2]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,3,7,1,8,5,6,2]=>[1,4,2,3,7,6,5,8]=>[3,4,2,7,6,5,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[6,3,5,4,7,2,8,1]=>[1,6,2,3,5,7,8,4]=>[3,4,8,5,2,6,7,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,4,6,5,8,1,3,2]=>[1,7,3,6,2,4,5,8]=>[5,3,6,7,4,2,8,1]=>[[[[.,.],[[.,[.,.]],.]],[.,.]],.]
[2,1,8,4,6,3,7,5]=>[1,2,3,8,5,6,4,7]=>[2,3,7,5,6,8,4,1]=>[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]
[8,1,6,3,4,2,7,5]=>[1,8,5,4,3,6,2,7]=>[7,5,4,3,6,8,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[8,1,6,3,7,2,5,4]=>[1,8,4,3,6,2,5,7]=>[6,4,3,7,5,8,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[8,3,5,1,7,2,6,4]=>[1,8,4,2,3,5,7,6]=>[4,5,3,6,8,7,2,1]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[7,3,5,2,6,4,8,1]=>[1,7,8,2,3,5,6,4]=>[4,5,8,6,7,2,3,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,2,6,3,5,1,7,4]=>[1,8,4,3,6,2,5,7]=>[6,4,3,7,5,8,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[8,2,4,1,5,3,7,6]=>[1,8,6,3,4,2,5,7]=>[6,4,5,7,3,8,2,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[8,2,4,1,7,3,6,5]=>[1,8,5,7,6,3,4,2]=>[8,6,7,3,5,4,2,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[3,2,8,1,5,4,7,6]=>[1,3,8,6,4,2,5,7]=>[6,2,5,7,4,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[3,2,7,6,8,1,5,4]=>[1,3,7,5,8,4,6,2]=>[8,2,6,4,7,3,5,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,2,7,1,8,5,6,4]=>[1,3,7,6,5,8,4,2]=>[8,2,7,5,4,3,6,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[6,5,7,2,4,3,8,1]=>[1,6,3,7,8,2,5,4]=>[6,3,8,7,2,4,5,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[7,6,8,2,4,1,5,3]=>[1,7,5,4,2,6,3,8]=>[5,7,4,3,6,2,8,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[7,6,8,1,5,2,4,3]=>[1,7,4,2,6,3,8,5]=>[4,6,3,8,5,2,7,1]=>[[[[.,[.,.]],[[.,.],.]],[.,.]],.]
[2,1,7,3,8,5,6,4]=>[1,2,3,7,6,5,8,4]=>[2,3,8,6,5,4,7,1]=>[[.,[.,[[[[.,.],.],.],[.,.]]]],.]
[6,2,7,4,5,3,8,1]=>[1,6,3,7,8,2,4,5]=>[6,3,7,8,2,4,5,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[5,4,7,2,6,3,8,1]=>[1,5,6,3,7,8,2,4]=>[7,4,8,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[5,4,8,2,6,1,7,3]=>[1,5,6,2,4,3,8,7]=>[4,6,5,2,3,8,7,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,1,6,5,8,3,7,4]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,5,7,1,8,3,4,2]=>[1,6,3,7,4,2,5,8]=>[6,3,5,7,2,4,8,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[6,1,7,4,8,3,5,2]=>[1,6,3,7,5,8,2,4]=>[7,3,8,5,2,4,6,1]=>[[[[.,.],[[.,.],.]],[.,[.,.]]],.]
[5,4,6,3,8,1,7,2]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,5,2,7,4,9,6,11,8,12,10,1]=>[1,3,2,5,4,7,6,9,8,11,10,12]=>[3,2,5,4,7,6,9,8,11,10,12,1]=>[[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]],.]
[2,8,3,1,5,4,6,7]=>[1,2,8,7,6,4,3,5]=>[2,7,6,8,5,4,3,1]=>[[.,[[[[[.,.],[.,.]],.],.],.]],.]
[2,5,3,4,7,1,8,6]=>[1,2,5,7,8,6,3,4]=>[2,7,8,3,6,4,5,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,4,8,3,5,7,6,1]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[5,4,1,3,8,2,6,7]=>[1,5,8,7,6,2,4,3]=>[6,8,7,2,5,4,3,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[1,5,8,4,3,2,6,7]=>[1,2,5,3,8,7,6,4]=>[2,4,8,3,7,6,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[1,8,5,4,3,2,6,7]=>[1,2,8,7,6,3,5,4]=>[2,6,8,7,5,4,3,1]=>[[.,[[[[.,[[.,.],.]],.],.],.]],.]
[1,7,4,3,8,5,2,6]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,1,4,7,8,3,2,6]=>[1,5,8,6,3,4,7,2]=>[8,5,6,2,4,7,3,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[6,4,8,1,7,3,5,2]=>[1,6,3,8,2,4,5,7]=>[5,3,6,7,2,8,4,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[7,6,4,1,3,8,2,5]=>[1,7,2,6,8,5,3,4]=>[3,7,8,6,4,2,5,1]=>[[[.,[[[.,[.,.]],.],.]],[.,.]],.]
[1,7,5,6,3,2,8,4]=>[1,2,7,8,4,6,3,5]=>[2,7,5,8,6,3,4,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[4,2,1,7,8,5,3,6]=>[1,4,7,3,2,5,8,6]=>[5,4,2,6,8,3,7,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[6,2,4,8,3,7,5,1]=>[1,6,7,5,3,4,8,2]=>[8,5,6,4,2,3,7,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[2,6,7,3,1,4,8,5]=>[1,2,6,4,3,7,8,5]=>[2,5,4,8,3,6,7,1]=>[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]
[2,7,1,8,3,5,4,6]=>[1,2,7,4,8,6,5,3]=>[2,8,4,7,6,3,5,1]=>[[.,[[[.,.],[[.,.],.]],[.,.]]],.]
[2,1,7,3,5,8,4,6]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[8,7,1,3,6,2,4,5]=>[1,8,5,6,2,7,4,3]=>[5,8,7,3,4,6,2,1]=>[[[[.,[[.,.],.]],[.,[.,.]]],.],.]
[8,2,1,7,3,5,6,4]=>[1,8,4,7,6,5,3,2]=>[8,7,3,6,5,4,2,1]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]
[7,8,2,6,3,1,5,4]=>[1,7,5,3,2,8,4,6]=>[5,4,7,3,8,2,6,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[8,7,2,6,3,5,4,1]=>[1,8,2,7,4,6,5,3]=>[3,8,5,7,6,4,2,1]=>[[[.,[[[.,.],[[.,.],.]],.]],.],.]
[1,2,8,7,4,5,6,3]=>[1,2,3,8,4,7,6,5]=>[2,3,5,8,7,6,4,1]=>[[.,[.,[[.,[[[.,.],.],.]],.]]],.]
[8,3,7,1,5,6,2,4]=>[1,8,4,2,3,7,5,6]=>[4,5,3,7,8,6,2,1]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[2,8,5,7,6,4,3,1]=>[1,2,8,3,5,6,4,7]=>[2,4,7,5,6,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[7,8,1,6,4,2,5,3]=>[1,7,5,4,6,2,8,3]=>[6,8,4,3,5,2,7,1]=>[[[[[.,[.,.]],.],[.,.]],[.,.]],.]
[7,8,6,1,5,3,2,4]=>[1,7,2,8,4,3,6,5]=>[3,6,5,8,7,2,4,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,3,8,6,1,5,2,4]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,7,1,6,4,5,3,2]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[8,1,7,5,6,4,3,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[1,8,6,7,5,4,3,2]=>[1,2,8,3,6,4,7,5]=>[2,4,6,8,5,7,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[8,5,2,7,4,3,1,6]=>[1,8,6,3,2,5,4,7]=>[5,4,7,6,3,8,2,1]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[8,3,4,5,7,2,1,6]=>[1,8,6,2,3,4,5,7]=>[4,5,6,7,3,8,2,1]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[5,7,4,6,3,8,2,1]=>[1,5,3,4,6,8,2,7]=>[7,3,4,2,5,8,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[2,8,4,6,3,7,1,5]=>[1,2,8,5,3,4,6,7]=>[2,5,6,4,7,8,3,1]=>[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]
[8,5,3,7,1,4,2,6]=>[1,8,6,4,7,2,5,3]=>[6,8,4,7,3,5,2,1]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[6,5,3,7,1,8,4,2]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,1,4,6,8,3,7,2]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,8,3,7,1,2,6,5]=>[1,4,7,6,2,8,5,3]=>[5,8,2,7,4,3,6,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,8,1,2,5,7,6,4]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,8,7,5,4,1,3,6]=>[1,2,8,6,3,7,4,5]=>[2,5,7,8,4,6,3,1]=>[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]
[5,7,6,8,4,2,3,1]=>[1,5,4,8,2,7,3,6]=>[5,7,3,2,8,6,4,1]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[5,3,7,8,2,4,6,1]=>[1,5,2,3,7,6,4,8]=>[3,4,7,2,6,5,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,3,6,2,1,4,7,5]=>[1,8,5,2,3,6,4,7]=>[4,5,7,3,6,8,2,1]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[5,3,7,6,2,1,8,4]=>[1,5,2,3,7,8,4,6]=>[3,4,7,2,8,5,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,6,2,8,7,1,4]=>[1,5,8,4,2,3,6,7]=>[5,6,4,2,7,8,3,1]=>[[[[.,[.,.]],.],[[.,[.,.]],.]],.]
[6,1,7,4,5,8,2,3]=>[1,6,8,3,7,2,4,5]=>[6,4,7,8,2,5,3,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[2,1,5,7,3,6,8,4]=>[1,2,3,5,4,7,8,6]=>[2,3,5,4,8,6,7,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[5,7,3,6,1,2,8,4]=>[1,5,2,7,8,4,6,3]=>[3,8,6,2,7,4,5,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,4,7,1,6,5,8,3]=>[1,2,4,3,7,8,5,6]=>[2,4,3,7,8,5,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[4,6,1,2,5,8