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]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[6,1,2,3,5,4]=>[1,6,4,3,2,5]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,1,2,4,3,5]=>[1,6,5,3,2,4]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[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]=>[[[[.,[.,[.,.]]],.],.],.]
[6,1,3,4,5,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,1,3,5,2,4]=>[1,6,4,5,2,3]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[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]=>[[[[.,.],[[.,.],.]],.],.]
[6,2,5,4,3,1]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[6,3,1,2,4,5]=>[1,6,5,4,2,3]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[6,3,1,2,5,4]=>[1,6,4,2,3,5]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[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]=>[[[[.,[.,.]],[.,.]],.],.]
[6,3,1,5,4,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,3,2,1,4,5]=>[1,6,5,4,2,3]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[6,3,2,1,5,4]=>[1,6,4,2,3,5]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,3,2,4,1,5]=>[1,6,5,2,3,4]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[6,3,2,4,5,1]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,3,2,5,1,4]=>[1,6,4,5,2,3]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,3,2,5,4,1]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,3,4,1,2,5]=>[1,6,5,2,3,4]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[6,3,4,1,5,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,3,4,2,1,5]=>[1,6,5,2,3,4]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[6,3,4,2,5,1]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,3,4,5,1,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,3,4,5,2,1]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[6,3,5,1,2,4]=>[1,6,4,2,3,5]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,3,5,1,4,2]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[6,3,5,2,1,4]=>[1,6,4,2,3,5]=>[4,5,3,6,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,3,5,2,4,1]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[6,3,5,4,1,2]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[6,3,5,4,2,1]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[6,4,1,2,3,5]=>[1,6,5,3,2,4]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[6,4,1,2,5,3]=>[1,6,3,2,4,5]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,4,1,3,2,5]=>[1,6,5,2,4,3]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[6,4,1,3,5,2]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,4,1,5,2,3]=>[1,6,3,2,4,5]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,4,1,5,3,2]=>[1,6,2,4,5,3]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,4,2,1,3,5]=>[1,6,5,3,2,4]=>[5,4,6,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[6,4,2,1,5,3]=>[1,6,3,2,4,5]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,4,2,3,1,5]=>[1,6,5,2,4,3]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[6,4,2,3,5,1]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,4,2,5,1,3]=>[1,6,3,2,4,5]=>[4,3,5,6,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[6,4,2,5,3,1]=>[1,6,2,4,5,3]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,4,3,1,2,5]=>[1,6,5,2,4,3]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[6,4,3,1,5,2]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,4,3,2,1,5]=>[1,6,5,2,4,3]=>[4,6,5,3,2,1]=>[[[[.,[[.,.],.]],.],.],.]
[6,4,3,2,5,1]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,4,3,5,1,2]=>[1,6,2,4,5,3]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,4,3,5,2,1]=>[1,6,2,4,5,3]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,4,5,1,2,3]=>[1,6,3,5,2,4]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,4,5,1,3,2]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,4,5,2,1,3]=>[1,6,3,5,2,4]=>[5,3,6,4,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,4,5,2,3,1]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,4,5,3,1,2]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,4,5,3,2,1]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[6,5,1,2,3,4]=>[1,6,4,2,5,3]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,1,2,4,3]=>[1,6,3,2,5,4]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,1,3,2,4]=>[1,6,4,3,2,5]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,5,1,3,4,2]=>[1,6,2,5,4,3]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,1,4,2,3]=>[1,6,3,2,5,4]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,1,4,3,2]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[6,5,2,1,3,4]=>[1,6,4,2,5,3]=>[4,6,3,5,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[6,5,2,1,4,3]=>[1,6,3,2,5,4]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,2,3,1,4]=>[1,6,4,3,2,5]=>[5,4,3,6,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[6,5,2,3,4,1]=>[1,6,2,5,4,3]=>[3,6,5,4,2,1]=>[[[.,[[[.,.],.],.]],.],.]
[6,5,2,4,1,3]=>[1,6,3,2,5,4]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[6,5,2,4,3,1]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[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]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[7,3,4,6,5,2,1]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[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]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[7,4,1,6,5,3,2]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[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]=>[[[[[[.,.],.],.],[.,.]],.],.]
[7,6,2,3,4,5,1]=>[1,7,2,6,5,4,3]=>[3,7,6,5,4,2,1]=>[[[.,[[[[.,.],.],.],.]],.],.]
[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]=>[[[.,[[.,[[.,.],.]],.]],.],.]
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
Map
Inverse Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $c\pi^{-1}$ where $c = (1,\ldots,n)$ is the long cycle.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
This tree is recursively obtained by sending the unique permutation of length $0$ to the empty tree, and sending a permutation $\sigma$ of length $n \geq 1$ to a root node with two subtrees $L$ and $R$ by splitting $\sigma$ at the index $\sigma^{-1}(1)$, normalizing both sides again to permutations and sending the permutations on the left and on the right of $\sigma^{-1}(1)$ to the trees $L$ and $R$, respectively.
searching the database
Sorry, this map was not found in the database.