Identifier
Mp00223:
Permutations
—runsort⟶
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]=>[1,3,2]=>[3,2,1]=>[[[.,.],.],.]
[2,1,3]=>[1,3,2]=>[3,2,1]=>[[[.,.],.],.]
[2,3,1]=>[1,2,3]=>[2,3,1]=>[[.,[.,.]],.]
[3,1,2]=>[1,2,3]=>[2,3,1]=>[[.,[.,.]],.]
[3,2,1]=>[1,2,3]=>[2,3,1]=>[[.,[.,.]],.]
[1,2,3,4]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,2,4,3]=>[1,2,4,3]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[1,3,2,4]=>[1,3,2,4]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[1,3,4,2]=>[1,3,4,2]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,4,2,3]=>[1,4,2,3]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[1,4,3,2]=>[1,4,2,3]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[2,1,3,4]=>[1,3,4,2]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[2,1,4,3]=>[1,4,2,3]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[2,3,1,4]=>[1,4,2,3]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[2,3,4,1]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,4,1,3]=>[1,3,2,4]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[2,4,3,1]=>[1,2,4,3]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[3,1,2,4]=>[1,2,4,3]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[3,1,4,2]=>[1,4,2,3]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[3,2,1,4]=>[1,4,2,3]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[3,2,4,1]=>[1,2,4,3]=>[2,4,3,1]=>[[.,[[.,.],.]],.]
[3,4,1,2]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[3,4,2,1]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[4,1,2,3]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[4,1,3,2]=>[1,3,2,4]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[4,2,1,3]=>[1,3,2,4]=>[3,2,4,1]=>[[[.,.],[.,.]],.]
[4,2,3,1]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[4,3,1,2]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[4,3,2,1]=>[1,2,3,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[1,2,3,4,5]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,2,3,5,4]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[1,2,4,3,5]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[1,2,4,5,3]=>[1,2,4,5,3]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[1,2,5,3,4]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,2,5,4,3]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[1,3,2,4,5]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,3,2,5,4]=>[1,3,2,5,4]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[1,3,4,2,5]=>[1,3,4,2,5]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[1,3,4,5,2]=>[1,3,4,5,2]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,3,5,2,4]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,3,5,4,2]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[1,4,2,3,5]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,2,5,3]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,3,2,5]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,3,5,2]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,5,2,3]=>[1,4,5,2,3]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,4,5,3,2]=>[1,4,5,2,3]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[1,5,2,3,4]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,5,2,4,3]=>[1,5,2,4,3]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[1,5,3,2,4]=>[1,5,2,4,3]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[1,5,3,4,2]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,5,4,2,3]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[1,5,4,3,2]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[2,1,3,4,5]=>[1,3,4,5,2]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[2,1,3,5,4]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[2,1,4,3,5]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[2,1,4,5,3]=>[1,4,5,2,3]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[2,1,5,3,4]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[2,1,5,4,3]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[2,3,1,4,5]=>[1,4,5,2,3]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[2,3,1,5,4]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[2,3,4,1,5]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[2,3,4,5,1]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,3,5,1,4]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[2,3,5,4,1]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[2,4,1,3,5]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[2,4,1,5,3]=>[1,5,2,4,3]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[2,4,3,1,5]=>[1,5,2,4,3]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[2,4,3,5,1]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,4,5,1,3]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[2,4,5,3,1]=>[1,2,4,5,3]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[2,5,1,3,4]=>[1,3,4,2,5]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[2,5,1,4,3]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[2,5,3,1,4]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[2,5,3,4,1]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[2,5,4,1,3]=>[1,3,2,5,4]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[2,5,4,3,1]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[3,1,2,4,5]=>[1,2,4,5,3]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[3,1,2,5,4]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[3,1,4,2,5]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[3,1,4,5,2]=>[1,4,5,2,3]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[3,1,5,2,4]=>[1,5,2,4,3]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[3,1,5,4,2]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,2,1,4,5]=>[1,4,5,2,3]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[3,2,1,5,4]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,2,4,1,5]=>[1,5,2,4,3]=>[3,5,4,2,1]=>[[[.,[[.,.],.]],.],.]
[3,2,4,5,1]=>[1,2,4,5,3]=>[2,5,3,4,1]=>[[.,[[.,.],[.,.]]],.]
[3,2,5,1,4]=>[1,4,2,5,3]=>[3,5,2,4,1]=>[[[.,[.,.]],[.,.]],.]
[3,2,5,4,1]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[3,4,1,2,5]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[3,4,1,5,2]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,4,2,1,5]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,4,2,5,1]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[3,4,5,1,2]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[3,4,5,2,1]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[3,5,1,2,4]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,5,1,4,2]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,5,2,1,4]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[3,5,2,4,1]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,5,4,1,2]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[3,5,4,2,1]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,1,2,3,5]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,1,2,5,3]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[4,1,3,2,5]=>[1,3,2,5,4]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[4,1,3,5,2]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[4,1,5,2,3]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[4,1,5,3,2]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[4,2,1,3,5]=>[1,3,5,2,4]=>[4,2,5,3,1]=>[[[.,.],[[.,.],.]],.]
[4,2,1,5,3]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[4,2,3,1,5]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[4,2,3,5,1]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,2,5,1,3]=>[1,3,2,5,4]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[4,2,5,3,1]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[4,3,1,2,5]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[4,3,1,5,2]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[4,3,2,1,5]=>[1,5,2,3,4]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[4,3,2,5,1]=>[1,2,5,3,4]=>[2,4,5,3,1]=>[[.,[[.,[.,.]],.]],.]
[4,3,5,1,2]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,3,5,2,1]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[[.,[.,[[.,.],.]]],.]
[4,5,1,2,3]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,5,1,3,2]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[4,5,2,1,3]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[4,5,2,3,1]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,5,3,1,2]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,5,3,2,1]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[5,1,2,3,4]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[5,1,2,4,3]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[5,1,3,2,4]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,1,3,4,2]=>[1,3,4,2,5]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,1,4,2,3]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[5,1,4,3,2]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[5,2,1,3,4]=>[1,3,4,2,5]=>[4,2,3,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,2,1,4,3]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[5,2,3,1,4]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[5,2,3,4,1]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[5,2,4,1,3]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,2,4,3,1]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[5,3,1,2,4]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[5,3,1,4,2]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[5,3,2,1,4]=>[1,4,2,3,5]=>[3,4,2,5,1]=>[[[.,[.,.]],[.,.]],.]
[5,3,2,4,1]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[5,3,4,1,2]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[5,3,4,2,1]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[5,4,1,2,3]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[5,4,1,3,2]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,4,2,1,3]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[[[.,.],[.,[.,.]]],.]
[5,4,2,3,1]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[5,4,3,1,2]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[5,4,3,2,1]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,2,3,5,6,4]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[1,2,3,6,4,5]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,2,3,6,5,4]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,2,4,5,3,6]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,2,4,5,6,3]=>[1,2,4,5,6,3]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[1,2,4,6,3,5]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,2,4,6,5,3]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[1,2,5,3,4,6]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,2,5,3,6,4]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,2,5,4,3,6]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,2,5,4,6,3]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,2,5,6,4,3]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[1,2,6,3,4,5]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,2,6,3,5,4]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[1,2,6,4,3,5]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[1,2,6,4,5,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,2,6,5,3,4]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,2,6,5,4,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,3,2,5,6,4]=>[1,3,2,5,6,4]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,3,2,6,4,5]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,2,6,5,4]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,3,4,2,6,5]=>[1,3,4,2,6,5]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,3,4,5,2,6]=>[1,3,4,5,2,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,3,4,5,6,2]=>[1,3,4,5,6,2]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,3,4,6,2,5]=>[1,3,4,6,2,5]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,3,4,6,5,2]=>[1,3,4,6,2,5]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[1,3,5,2,4,6]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,3,5,2,6,4]=>[1,3,5,2,6,4]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,3,5,4,2,6]=>[1,3,5,2,6,4]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,3,5,4,6,2]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,3,5,6,2,4]=>[1,3,5,6,2,4]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,3,5,6,4,2]=>[1,3,5,6,2,4]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,3,6,2,4,5]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,6,2,5,4]=>[1,3,6,2,5,4]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,6,4,2,5]=>[1,3,6,2,5,4]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[1,3,6,4,5,2]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,6,5,2,4]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,3,6,5,4,2]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[1,4,2,3,5,6]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,2,3,6,5]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,2,5,3,6]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,2,5,6,3]=>[1,4,2,5,6,3]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,2,6,3,5]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,2,6,5,3]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,3,2,5,6]=>[1,4,2,5,6,3]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,3,2,6,5]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,3,5,2,6]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,3,5,6,2]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,3,6,2,5]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,3,6,5,2]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,5,2,3,6]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,5,2,6,3]=>[1,4,5,2,6,3]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,5,3,2,6]=>[1,4,5,2,6,3]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,5,3,6,2]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,5,6,2,3]=>[1,4,5,6,2,3]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,5,6,3,2]=>[1,4,5,6,2,3]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[1,4,6,2,3,5]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,6,2,5,3]=>[1,4,6,2,5,3]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,6,3,2,5]=>[1,4,6,2,5,3]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,6,3,5,2]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,6,5,2,3]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,4,6,5,3,2]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[1,5,2,3,4,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,2,3,6,4]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,2,4,3,6]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,5,2,4,6,3]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,5,2,6,3,4]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,2,6,4,3]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,3,2,4,6]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,5,3,2,6,4]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,3,4,2,6]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,3,4,6,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,3,6,2,4]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,5,3,6,4,2]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,4,2,3,6]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,4,2,6,3]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,4,3,2,6]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,4,3,6,2]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,4,6,2,3]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,4,6,3,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,6,2,3,4]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,6,2,4,3]=>[1,5,6,2,4,3]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,5,6,3,2,4]=>[1,5,6,2,4,3]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[1,5,6,3,4,2]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,6,4,2,3]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,5,6,4,3,2]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[1,6,2,3,4,5]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,6,2,3,5,4]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[1,6,2,4,3,5]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,6,2,4,5,3]=>[1,6,2,4,5,3]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,6,2,5,3,4]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,6,2,5,4,3]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,6,3,2,4,5]=>[1,6,2,4,5,3]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,6,3,2,5,4]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,6,3,4,2,5]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,6,3,4,5,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,6,3,5,2,4]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,6,3,5,4,2]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[1,6,4,2,3,5]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[1,6,4,2,5,3]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,6,4,3,2,5]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[1,6,4,3,5,2]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[1,6,4,5,2,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,6,4,5,3,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,6,5,2,3,4]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,6,5,2,4,3]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,6,5,3,2,4]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[1,6,5,3,4,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,6,5,4,2,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[1,6,5,4,3,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,1,3,4,5,6]=>[1,3,4,5,6,2]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,1,3,4,6,5]=>[1,3,4,6,2,5]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,1,3,5,4,6]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,3,5,6,4]=>[1,3,5,6,2,4]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,1,3,6,4,5]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[2,1,3,6,5,4]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[2,1,4,3,5,6]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,4,3,6,5]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,1,4,5,3,6]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,4,5,6,3]=>[1,4,5,6,2,3]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,4,6,3,5]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,1,4,6,5,3]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,1,5,3,4,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,1,5,3,6,4]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,1,5,4,3,6]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,1,5,4,6,3]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,1,5,6,3,4]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,1,5,6,4,3]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,1,6,3,4,5]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,1,6,3,5,4]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[2,1,6,4,3,5]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[2,1,6,4,5,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,1,6,5,3,4]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,1,6,5,4,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,3,1,4,5,6]=>[1,4,5,6,2,3]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,3,1,4,6,5]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,3,1,5,4,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,3,1,5,6,4]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,3,1,6,4,5]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,3,1,6,5,4]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,3,4,1,5,6]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,3,4,1,6,5]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,3,4,5,1,6]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,3,4,6,1,5]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[2,3,5,1,4,6]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,3,5,1,6,4]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[2,3,5,4,1,6]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,5,6,1,4]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,3,5,6,4,1]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[2,3,6,1,4,5]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,3,6,1,5,4]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,3,6,4,1,5]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,3,6,4,5,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[2,3,6,5,1,4]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[2,4,1,3,5,6]=>[1,3,5,6,2,4]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,4,1,3,6,5]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[2,4,1,5,3,6]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[2,4,1,5,6,3]=>[1,5,6,2,4,3]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[2,4,1,6,3,5]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[2,4,1,6,5,3]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[2,4,3,1,5,6]=>[1,5,6,2,4,3]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[2,4,3,1,6,5]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[2,4,3,5,1,6]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,3,6,1,5]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,5,1,3,6]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[2,4,5,1,6,3]=>[1,6,2,4,5,3]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[2,4,5,3,1,6]=>[1,6,2,4,5,3]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[2,4,5,3,6,1]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,5,6,1,3]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,4,5,6,3,1]=>[1,2,4,5,6,3]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,4,6,1,3,5]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,4,6,1,5,3]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[2,4,6,3,1,5]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[2,4,6,3,5,1]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,4,6,5,1,3]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,4,6,5,3,1]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[2,5,1,3,4,6]=>[1,3,4,6,2,5]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,5,1,3,6,4]=>[1,3,6,2,5,4]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[2,5,1,4,3,6]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,5,1,4,6,3]=>[1,4,6,2,5,3]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,5,1,6,3,4]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[2,5,1,6,4,3]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[2,5,3,1,4,6]=>[1,4,6,2,5,3]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,5,3,1,6,4]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[2,5,3,4,1,6]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[2,5,3,4,6,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,3,6,1,4]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,5,3,6,4,1]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,4,1,3,6]=>[1,3,6,2,5,4]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[2,5,4,1,6,3]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[2,5,4,3,1,6]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[2,5,4,3,6,1]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,4,6,1,3]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,6,1,3,4]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,5,6,1,4,3]=>[1,4,2,5,6,3]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,5,6,3,1,4]=>[1,4,2,5,6,3]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,5,6,3,4,1]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,5,6,4,1,3]=>[1,3,2,5,6,4]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,5,6,4,3,1]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,6,1,3,4,5]=>[1,3,4,5,2,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[2,6,1,3,5,4]=>[1,3,5,2,6,4]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,6,1,4,3,5]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,6,1,4,5,3]=>[1,4,5,2,6,3]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,6,1,5,3,4]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,6,1,5,4,3]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,6,3,1,4,5]=>[1,4,5,2,6,3]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,6,3,1,5,4]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,6,3,4,1,5]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,6,3,4,5,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[2,6,3,5,1,4]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,6,3,5,4,1]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[2,6,4,1,3,5]=>[1,3,5,2,6,4]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,6,4,1,5,3]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,6,4,3,1,5]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,6,4,3,5,1]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[2,6,4,5,1,3]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[2,6,4,5,3,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[2,6,5,1,3,4]=>[1,3,4,2,6,5]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,6,5,1,4,3]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,6,5,3,1,4]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,6,5,3,4,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[2,6,5,4,1,3]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[2,6,5,4,3,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[3,1,2,4,5,6]=>[1,2,4,5,6,3]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,1,2,4,6,5]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,1,2,5,4,6]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,1,2,5,6,4]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,1,2,6,4,5]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[3,1,2,6,5,4]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[3,1,4,2,5,6]=>[1,4,2,5,6,3]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,1,4,2,6,5]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,1,4,5,2,6]=>[1,4,5,2,6,3]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,1,4,5,6,2]=>[1,4,5,6,2,3]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,1,4,6,2,5]=>[1,4,6,2,5,3]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,1,4,6,5,2]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,1,5,2,4,6]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,1,5,2,6,4]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,1,5,4,2,6]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,1,5,4,6,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,1,5,6,2,4]=>[1,5,6,2,4,3]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,1,5,6,4,2]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,1,6,2,4,5]=>[1,6,2,4,5,3]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[3,1,6,2,5,4]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[3,1,6,4,2,5]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[3,1,6,4,5,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,1,6,5,2,4]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[3,1,6,5,4,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,2,1,4,5,6]=>[1,4,5,6,2,3]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,2,1,4,6,5]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,2,1,5,4,6]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,2,1,5,6,4]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,2,1,6,4,5]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,2,1,6,5,4]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,2,4,1,5,6]=>[1,5,6,2,4,3]=>[4,6,5,2,3,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,2,4,1,6,5]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[3,2,4,5,1,6]=>[1,6,2,4,5,3]=>[3,6,4,5,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[3,2,4,5,6,1]=>[1,2,4,5,6,3]=>[2,6,3,4,5,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,2,4,6,1,5]=>[1,5,2,4,6,3]=>[3,6,4,2,5,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,2,4,6,5,1]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,2,5,1,4,6]=>[1,4,6,2,5,3]=>[4,6,2,5,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,2,5,1,6,4]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[3,2,5,4,1,6]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[3,2,5,4,6,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,2,5,6,1,4]=>[1,4,2,5,6,3]=>[3,6,2,4,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,2,5,6,4,1]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,2,6,1,4,5]=>[1,4,5,2,6,3]=>[4,6,2,3,5,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,2,6,1,5,4]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,2,6,4,1,5]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,2,6,4,5,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[3,2,6,5,1,4]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,2,6,5,4,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[3,4,1,2,5,6]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,4,1,2,6,5]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[3,4,1,5,2,6]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,4,1,5,6,2]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,4,1,6,2,5]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[3,4,1,6,5,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,4,2,1,5,6]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,4,2,1,6,5]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,4,2,5,1,6]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[3,4,2,5,6,1]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,4,2,6,1,5]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,4,2,6,5,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[3,4,5,1,2,6]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[3,4,5,1,6,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,4,5,2,1,6]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,4,5,2,6,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[3,4,5,6,1,2]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,4,5,6,2,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,4,6,1,2,5]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,4,6,1,5,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,4,6,2,1,5]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,4,6,2,5,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,4,6,5,1,2]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,4,6,5,2,1]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[3,5,1,2,4,6]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,5,1,2,6,4]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[3,5,1,4,2,6]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,1,4,6,2]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,1,6,2,4]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[3,5,1,6,4,2]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[3,5,2,1,4,6]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,2,1,6,4]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[3,5,2,4,1,6]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[3,5,2,4,6,1]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,5,2,6,1,4]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,5,2,6,4,1]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[3,5,4,1,2,6]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[3,5,4,1,6,2]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[3,5,4,2,1,6]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[3,5,4,2,6,1]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[3,5,4,6,1,2]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,4,6,2,1]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,6,1,2,4]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,6,1,4,2]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,5,6,2,1,4]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,5,6,2,4,1]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,5,6,4,1,2]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,5,6,4,2,1]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[3,6,1,2,4,5]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,1,2,5,4]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,6,1,4,2,5]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,6,1,4,5,2]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,6,1,5,2,4]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,6,1,5,4,2]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,6,2,1,4,5]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,6,2,1,5,4]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,6,2,4,1,5]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[3,6,2,4,5,1]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,6,2,5,1,4]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[3,6,2,5,4,1]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,6,4,1,2,5]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,6,4,1,5,2]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,6,4,2,1,5]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,6,4,2,5,1]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,6,4,5,1,2]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[3,6,4,5,2,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[3,6,5,1,2,4]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,6,5,1,4,2]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,6,5,2,1,4]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,6,5,2,4,1]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[3,6,5,4,1,2]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[3,6,5,4,2,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[4,1,2,3,5,6]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,1,2,3,6,5]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[4,1,2,5,3,6]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,1,2,5,6,3]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,1,2,6,3,5]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[4,1,2,6,5,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[4,1,3,2,5,6]=>[1,3,2,5,6,4]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,3,2,6,5]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[4,1,3,5,2,6]=>[1,3,5,2,6,4]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,3,5,6,2]=>[1,3,5,6,2,4]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,1,3,6,2,5]=>[1,3,6,2,5,4]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,1,3,6,5,2]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[4,1,5,2,3,6]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,1,5,2,6,3]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,1,5,3,2,6]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,1,5,3,6,2]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,1,5,6,2,3]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,1,5,6,3,2]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,1,6,2,3,5]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[4,1,6,2,5,3]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[4,1,6,3,2,5]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[4,1,6,3,5,2]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[4,1,6,5,2,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,1,6,5,3,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,2,1,3,5,6]=>[1,3,5,6,2,4]=>[5,2,6,3,4,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,2,1,3,6,5]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[4,2,1,5,3,6]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,2,1,5,6,3]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,2,1,6,3,5]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[4,2,1,6,5,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,2,3,1,5,6]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,2,3,1,6,5]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,2,3,5,1,6]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[4,2,3,5,6,1]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,2,3,6,1,5]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,2,3,6,5,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[4,2,5,1,3,6]=>[1,3,6,2,5,4]=>[4,2,6,5,3,1]=>[[[.,.],[[[.,.],.],.]],.]
[4,2,5,1,6,3]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[4,2,5,3,1,6]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[4,2,5,3,6,1]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,2,5,6,1,3]=>[1,3,2,5,6,4]=>[3,2,6,4,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,2,5,6,3,1]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,2,6,1,3,5]=>[1,3,5,2,6,4]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,2,6,1,5,3]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,2,6,3,1,5]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,2,6,3,5,1]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[4,2,6,5,1,3]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[4,2,6,5,3,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[4,3,1,2,5,6]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,3,1,2,6,5]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[4,3,1,5,2,6]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,3,1,5,6,2]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,3,1,6,2,5]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[4,3,1,6,5,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,3,2,1,5,6]=>[1,5,6,2,3,4]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,3,2,1,6,5]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,3,2,5,1,6]=>[1,6,2,5,3,4]=>[3,5,6,4,2,1]=>[[[.,[[.,[.,.]],.]],.],.]
[4,3,2,5,6,1]=>[1,2,5,6,3,4]=>[2,5,6,3,4,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,3,2,6,1,5]=>[1,5,2,6,3,4]=>[3,5,6,2,4,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,3,2,6,5,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[4,3,5,1,2,6]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[4,3,5,1,6,2]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[4,3,5,2,1,6]=>[1,6,2,3,5,4]=>[3,4,6,5,2,1]=>[[[.,[.,[[.,.],.]]],.],.]
[4,3,5,2,6,1]=>[1,2,6,3,5,4]=>[2,4,6,5,3,1]=>[[.,[[.,[[.,.],.]],.]],.]
[4,3,5,6,1,2]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,5,6,2,1]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,3,6,1,2,5]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,3,6,1,5,2]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,3,6,2,1,5]=>[1,5,2,3,6,4]=>[3,4,6,2,5,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,3,6,2,5,1]=>[1,2,5,3,6,4]=>[2,4,6,3,5,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,3,6,5,1,2]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[4,3,6,5,2,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[4,5,1,2,3,6]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[4,5,1,2,6,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[4,5,1,3,2,6]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[4,5,1,3,6,2]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[4,5,1,6,2,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,5,1,6,3,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,5,2,1,3,6]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[4,5,2,1,6,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,5,2,3,1,6]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,5,2,3,6,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[4,5,2,6,1,3]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[4,5,2,6,3,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[4,5,3,1,2,6]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[4,5,3,1,6,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,5,3,2,1,6]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[4,5,3,2,6,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[4,5,3,6,1,2]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[4,5,3,6,2,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[4,5,6,1,2,3]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[4,5,6,1,3,2]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,5,6,2,1,3]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[4,5,6,2,3,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[4,5,6,3,1,2]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[4,5,6,3,2,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[4,6,1,2,3,5]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,1,2,5,3]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,6,1,3,2,5]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,6,1,3,5,2]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,6,1,5,2,3]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,6,1,5,3,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,6,2,1,3,5]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,6,2,1,5,3]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,6,2,3,1,5]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,6,2,3,5,1]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,2,5,1,3]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[4,6,2,5,3,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,6,3,1,2,5]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,6,3,1,5,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,6,3,2,1,5]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[4,6,3,2,5,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,6,3,5,1,2]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,3,5,2,1]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[4,6,5,1,2,3]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,6,5,1,3,2]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,6,5,2,1,3]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[4,6,5,2,3,1]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,6,5,3,1,2]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[4,6,5,3,2,1]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,1,2,3,4,6]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,1,2,3,6,4]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[5,1,2,4,3,6]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,1,2,4,6,3]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,1,2,6,3,4]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,1,2,6,4,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,1,3,2,4,6]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,3,2,6,4]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,1,3,4,2,6]=>[1,3,4,2,6,5]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,3,4,6,2]=>[1,3,4,6,2,5]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,1,3,6,2,4]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,1,3,6,4,2]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,1,4,2,3,6]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,1,4,2,6,3]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,1,4,3,2,6]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,1,4,3,6,2]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,1,4,6,2,3]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,1,4,6,3,2]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,1,6,2,3,4]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,1,6,2,4,3]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[5,1,6,3,2,4]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[5,1,6,3,4,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,1,6,4,2,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,1,6,4,3,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,2,1,3,4,6]=>[1,3,4,6,2,5]=>[5,2,3,6,4,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,2,1,3,6,4]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,2,1,4,3,6]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,2,1,4,6,3]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,2,1,6,3,4]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,2,1,6,4,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,2,3,1,4,6]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,2,3,1,6,4]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,2,3,4,1,6]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,2,3,4,6,1]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,2,3,6,1,4]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,2,3,6,4,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[5,2,4,1,3,6]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,2,4,1,6,3]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[5,2,4,3,1,6]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[5,2,4,3,6,1]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,2,4,6,1,3]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,2,4,6,3,1]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,2,6,1,3,4]=>[1,3,4,2,6,5]=>[4,2,3,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,2,6,1,4,3]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,2,6,3,1,4]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,2,6,3,4,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,2,6,4,1,3]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,2,6,4,3,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,3,1,2,4,6]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,1,2,6,4]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,3,1,4,2,6]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,3,1,4,6,2]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,3,1,6,2,4]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[5,3,1,6,4,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,3,2,1,4,6]=>[1,4,6,2,3,5]=>[4,5,2,6,3,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,3,2,1,6,4]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,3,2,4,1,6]=>[1,6,2,4,3,5]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[5,3,2,4,6,1]=>[1,2,4,6,3,5]=>[2,5,3,6,4,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,2,6,1,4]=>[1,4,2,6,3,5]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,3,2,6,4,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,3,4,1,2,6]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,3,4,1,6,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,3,4,2,1,6]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,3,4,2,6,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,3,4,6,1,2]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,3,4,6,2,1]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,3,6,1,2,4]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,6,1,4,2]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,3,6,2,1,4]=>[1,4,2,3,6,5]=>[3,4,2,6,5,1]=>[[[.,[.,.]],[[.,.],.]],.]
[5,3,6,2,4,1]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[[.,[[.,.],[[.,.],.]]],.]
[5,3,6,4,1,2]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[5,3,6,4,2,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[5,4,1,2,3,6]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[5,4,1,2,6,3]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,4,1,3,2,6]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,4,1,3,6,2]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,4,1,6,2,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,4,1,6,3,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,4,2,1,3,6]=>[1,3,6,2,4,5]=>[4,2,5,6,3,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,4,2,1,6,3]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,4,2,3,1,6]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,4,2,3,6,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[5,4,2,6,1,3]=>[1,3,2,6,4,5]=>[3,2,5,6,4,1]=>[[[.,.],[[.,[.,.]],.]],.]
[5,4,2,6,3,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,4,3,1,2,6]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,4,3,1,6,2]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,4,3,2,1,6]=>[1,6,2,3,4,5]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[5,4,3,2,6,1]=>[1,2,6,3,4,5]=>[2,4,5,6,3,1]=>[[.,[[.,[.,[.,.]]],.]],.]
[5,4,3,6,1,2]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[5,4,3,6,2,1]=>[1,2,3,6,4,5]=>[2,3,5,6,4,1]=>[[.,[.,[[.,[.,.]],.]]],.]
[5,4,6,1,2,3]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,4,6,1,3,2]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,4,6,2,1,3]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[5,4,6,2,3,1]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,4,6,3,1,2]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,4,6,3,2,1]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[[.,[.,[.,[[.,.],.]]]],.]
[5,6,1,2,3,4]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[5,6,1,2,4,3]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,1,3,2,4]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,6,1,3,4,2]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,6,1,4,2,3]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,6,1,4,3,2]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,6,2,1,3,4]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,6,2,1,4,3]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,6,2,3,1,4]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,6,2,3,4,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[5,6,2,4,1,3]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,6,2,4,3,1]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,3,1,2,4]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,3,1,4,2]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,6,3,2,1,4]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[5,6,3,2,4,1]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[5,6,3,4,1,2]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[5,6,3,4,2,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[5,6,4,1,2,3]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[5,6,4,1,3,2]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,6,4,2,1,3]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[5,6,4,2,3,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[5,6,4,3,1,2]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[5,6,4,3,2,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,1,2,3,4,5]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,1,2,3,5,4]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,1,2,4,3,5]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,1,2,4,5,3]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,1,2,5,3,4]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,1,2,5,4,3]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,1,3,2,4,5]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,3,2,5,4]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,3,4,2,5]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,3,4,5,2]=>[1,3,4,5,2,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,1,3,5,2,4]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,3,5,4,2]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,1,4,2,3,5]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,1,4,2,5,3]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,1,4,3,2,5]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,1,4,3,5,2]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,1,4,5,2,3]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,1,4,5,3,2]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,1,5,2,3,4]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,1,5,2,4,3]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,1,5,3,2,4]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,1,5,3,4,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,1,5,4,2,3]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,1,5,4,3,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,2,1,3,4,5]=>[1,3,4,5,2,6]=>[5,2,3,4,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,2,1,3,5,4]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,2,1,4,3,5]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,2,1,4,5,3]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,2,1,5,3,4]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,2,1,5,4,3]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,2,3,1,4,5]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,2,3,1,5,4]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,2,3,4,1,5]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,2,3,4,5,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,2,3,5,1,4]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,2,3,5,4,1]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,2,4,1,3,5]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,2,4,1,5,3]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,2,4,3,1,5]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,2,4,3,5,1]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,2,4,5,1,3]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,2,4,5,3,1]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,2,5,1,3,4]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,2,5,1,4,3]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,2,5,3,1,4]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,2,5,3,4,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,2,5,4,1,3]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,2,5,4,3,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,3,1,2,4,5]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,1,2,5,4]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,3,1,4,2,5]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,3,1,4,5,2]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,3,1,5,2,4]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,3,1,5,4,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,3,2,1,4,5]=>[1,4,5,2,3,6]=>[4,5,2,3,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,3,2,1,5,4]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,3,2,4,1,5]=>[1,5,2,4,3,6]=>[3,5,4,2,6,1]=>[[[.,[[.,.],.]],[.,.]],.]
[6,3,2,4,5,1]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,2,5,1,4]=>[1,4,2,5,3,6]=>[3,5,2,4,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,3,2,5,4,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,3,4,1,2,5]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,3,4,1,5,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,3,4,2,1,5]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,3,4,2,5,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,3,4,5,1,2]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,3,4,5,2,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,3,5,1,2,4]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,5,1,4,2]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,3,5,2,1,4]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,3,5,2,4,1]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,3,5,4,1,2]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,3,5,4,2,1]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,1,2,3,5]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,1,2,5,3]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,4,1,3,2,5]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,4,1,3,5,2]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,4,1,5,2,3]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,4,1,5,3,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,4,2,1,3,5]=>[1,3,5,2,4,6]=>[4,2,5,3,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,4,2,1,5,3]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,4,2,3,1,5]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,4,2,3,5,1]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,2,5,1,3]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[[[.,.],[[.,.],[.,.]]],.]
[6,4,2,5,3,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,4,3,1,2,5]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,4,3,1,5,2]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,4,3,2,1,5]=>[1,5,2,3,4,6]=>[3,4,5,2,6,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[6,4,3,2,5,1]=>[1,2,5,3,4,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[6,4,3,5,1,2]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,3,5,2,1]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[[.,[.,[[.,.],[.,.]]]],.]
[6,4,5,1,2,3]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,4,5,1,3,2]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,4,5,2,1,3]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,4,5,2,3,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,4,5,3,1,2]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,4,5,3,2,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,5,1,2,3,4]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,5,1,2,4,3]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,1,3,2,4]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,5,1,3,4,2]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,5,1,4,2,3]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,5,1,4,3,2]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,5,2,1,3,4]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,5,2,1,4,3]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,5,2,3,1,4]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,5,2,3,4,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,5,2,4,1,3]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,5,2,4,3,1]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,3,1,2,4]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,3,1,4,2]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,5,3,2,1,4]=>[1,4,2,3,5,6]=>[3,4,2,5,6,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[6,5,3,2,4,1]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[6,5,3,4,1,2]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,5,3,4,2,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,5,4,1,2,3]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,5,4,1,3,2]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,5,4,2,1,3]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[6,5,4,2,3,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,5,4,3,1,2]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[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]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,3,4,6,7,5]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,3,5,6,4,7]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[1,2,3,5,7,4,6]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,3,6,4,7,5]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,3,7,4,6,5]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[1,2,3,7,5,4,6]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,3,7,6,4,5]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,2,4,3,6,7,5]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,2,4,5,3,6,7]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,2,4,5,3,7,6]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,2,4,5,6,7,3]=>[1,2,4,5,6,7,3]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[1,2,4,5,7,3,6]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,2,4,5,7,6,3]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[1,2,4,6,3,5,7]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,2,4,6,3,7,5]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,2,4,6,5,3,7]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,2,4,6,5,7,3]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,2,4,6,7,3,5]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,2,4,6,7,5,3]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[1,2,4,7,3,5,6]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,2,4,7,3,6,5]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,2,4,7,5,3,6]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[1,2,4,7,5,6,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,2,4,7,6,3,5]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,2,4,7,6,5,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,5,3,6,4,7]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,3,6,7,4]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,3,7,4,6]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,5,3,7,6,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,5,4,3,6,7]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,4,3,7,6]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,5,4,6,7,3]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,4,7,3,6]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,4,7,6,3]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,6,3,7,4]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,6,4,3,7]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,6,4,7,3]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,6,7,3,4]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,6,7,4,3]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,5,7,4,3,6]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,5,7,4,6,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,5,7,6,3,4]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,5,7,6,4,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,3,4,7,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,3,5,4,7]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,2,6,3,5,7,4]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,2,6,3,7,4,5]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,3,7,5,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,4,3,5,7]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,2,6,4,3,7,5]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,4,5,3,7]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,4,5,7,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,4,7,3,5]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,2,6,4,7,5,3]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,5,3,4,7]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,5,3,7,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,5,4,3,7]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,5,4,7,3]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,5,7,3,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,7,3,4,5]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,7,3,5,4]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,2,6,7,4,3,5]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[1,2,6,7,4,5,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,7,5,3,4]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,6,7,5,4,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,2,7,3,5,4,6]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,2,7,3,5,6,4]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,2,7,3,6,5,4]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,2,7,4,3,5,6]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,2,7,4,3,6,5]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,2,7,4,5,3,6]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,2,7,4,5,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,2,7,4,6,3,5]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,2,7,4,6,5,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,2,7,5,3,4,6]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,2,7,5,3,6,4]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,2,7,5,4,3,6]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[1,2,7,5,4,6,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[1,2,7,5,6,3,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,2,7,5,6,4,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,2,7,6,3,5,4]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,2,7,6,4,3,5]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[1,2,7,6,4,5,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,2,7,6,5,3,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,3,2,4,6,7,5]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,2,5,6,7,4]=>[1,3,2,5,6,7,4]=>[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,2,5,7,4,6]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,2,5,7,6,4]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,2,6,5,7,4]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,2,6,7,4,5]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,2,6,7,5,4]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[1,3,2,7,5,4,6]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,3,2,7,6,4,5]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,3,4,2,5,6,7]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,3,4,2,5,7,6]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[1,3,4,2,6,5,7]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,3,4,2,7,5,6]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,3,4,2,7,6,5]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,3,4,5,2,6,7]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,3,4,5,2,7,6]=>[1,3,4,5,2,7,6]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[1,3,4,5,6,2,7]=>[1,3,4,5,6,2,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,3,4,5,7,2,6]=>[1,3,4,5,7,2,6]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[1,3,4,5,7,6,2]=>[1,3,4,5,7,2,6]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[1,3,4,6,2,5,7]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,3,4,6,2,7,5]=>[1,3,4,6,2,7,5]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,3,4,6,5,2,7]=>[1,3,4,6,2,7,5]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,3,4,6,5,7,2]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,3,4,6,7,2,5]=>[1,3,4,6,7,2,5]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,3,4,6,7,5,2]=>[1,3,4,6,7,2,5]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[1,3,4,7,2,5,6]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,3,4,7,2,6,5]=>[1,3,4,7,2,6,5]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[1,3,4,7,5,2,6]=>[1,3,4,7,2,6,5]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[1,3,4,7,5,6,2]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,3,4,7,6,2,5]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,3,4,7,6,5,2]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[1,3,5,2,4,6,7]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,2,4,7,6]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,2,6,4,7]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,2,6,7,4]=>[1,3,5,2,6,7,4]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,2,7,4,6]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,2,7,6,4]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,4,2,6,7]=>[1,3,5,2,6,7,4]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,4,2,7,6]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,4,6,2,7]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,4,6,7,2]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,4,7,2,6]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,6,2,4,7]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,6,4,2,7]=>[1,3,5,6,2,7,4]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,6,4,7,2]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,6,7,2,4]=>[1,3,5,6,7,2,4]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,6,7,4,2]=>[1,3,5,6,7,2,4]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,5,7,2,4,6]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,7,4,2,6]=>[1,3,5,7,2,6,4]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,7,4,6,2]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,5,7,6,4,2]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[1,3,6,2,4,5,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,2,4,7,5]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,2,5,4,7]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,3,6,2,5,7,4]=>[1,3,6,2,5,7,4]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,3,6,2,7,4,5]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,2,7,5,4]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,4,2,5,7]=>[1,3,6,2,5,7,4]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,3,6,4,2,7,5]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,4,5,2,7]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,4,5,7,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,4,7,2,5]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,3,6,4,7,5,2]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,5,2,4,7]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,5,2,7,4]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,5,4,2,7]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,5,4,7,2]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,5,7,2,4]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,5,7,4,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,7,2,4,5]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,7,2,5,4]=>[1,3,6,7,2,5,4]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,3,6,7,4,2,5]=>[1,3,6,7,2,5,4]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,3,6,7,4,5,2]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,7,5,2,4]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,6,7,5,4,2]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,7,2,4,5,6]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,3,7,2,4,6,5]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[1,3,7,2,5,4,6]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,3,7,2,5,6,4]=>[1,3,7,2,5,6,4]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,3,7,2,6,4,5]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[1,3,7,2,6,5,4]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[1,3,7,4,2,5,6]=>[1,3,7,2,5,6,4]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,3,7,4,2,6,5]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[1,3,7,4,5,2,6]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[1,3,7,4,5,6,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,3,7,4,6,2,5]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,3,7,4,6,5,2]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[1,3,7,5,2,4,6]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[1,3,7,5,2,6,4]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[1,3,7,5,4,2,6]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[1,3,7,5,4,6,2]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[1,3,7,5,6,2,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,3,7,5,6,4,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,3,7,6,2,4,5]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,3,7,6,2,5,4]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,3,7,6,4,2,5]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[1,3,7,6,4,5,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,3,7,6,5,2,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,3,7,6,5,4,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,2,3,6,7,5]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,2,5,3,6,7]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,2,5,6,3,7]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,2,5,6,7,3]=>[1,4,2,5,6,7,3]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,2,5,7,3,6]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,2,5,7,6,3]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,2,6,5,3,7]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,2,6,5,7,3]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,2,6,7,3,5]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,2,6,7,5,3]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,2,7,3,5,6]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,2,7,3,6,5]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,2,7,5,3,6]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,2,7,5,6,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,2,7,6,3,5]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,2,7,6,5,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,3,2,5,6,7]=>[1,4,2,5,6,7,3]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,3,2,6,7,5]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,3,5,2,6,7]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,3,5,2,7,6]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,3,5,6,2,7]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,3,5,6,7,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,3,5,7,2,6]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,3,5,7,6,2]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,3,6,2,5,7]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,3,6,2,7,5]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,3,6,5,2,7]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,3,6,5,7,2]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,3,6,7,2,5]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,3,6,7,5,2]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,3,7,2,5,6]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,3,7,5,2,6]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,3,7,5,6,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,3,7,6,2,5]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,3,7,6,5,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,2,3,7,6]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,5,2,6,3,7]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,2,6,7,3]=>[1,4,5,2,6,7,3]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,5,2,7,6,3]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,5,3,2,6,7]=>[1,4,5,2,6,7,3]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,3,2,7,6]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,5,3,6,2,7]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,3,7,2,6]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,3,7,6,2]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,5,6,2,3,7]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,6,2,7,3]=>[1,4,5,6,2,7,3]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,6,3,7,2]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,6,7,3,2]=>[1,4,5,6,7,2,3]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,7,2,3,6]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,5,7,2,6,3]=>[1,4,5,7,2,6,3]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,5,7,3,2,6]=>[1,4,5,7,2,6,3]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,5,7,3,6,2]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,5,7,6,2,3]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,5,7,6,3,2]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[1,4,6,2,3,5,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,2,3,7,5]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,2,5,3,7]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,2,5,7,3]=>[1,4,6,2,5,7,3]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,2,7,3,5]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,2,7,5,3]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,3,2,5,7]=>[1,4,6,2,5,7,3]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,3,2,7,5]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,3,5,2,7]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,3,5,7,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,3,7,2,5]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,3,7,5,2]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,5,2,3,7]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,5,2,7,3]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,5,3,2,7]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,5,3,7,2]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,5,7,2,3]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,5,7,3,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,7,2,3,5]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,7,2,5,3]=>[1,4,6,7,2,5,3]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,7,3,2,5]=>[1,4,6,7,2,5,3]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,7,3,5,2]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,7,5,2,3]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,6,7,5,3,2]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[1,4,7,2,3,5,6]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,2,3,6,5]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,7,2,5,3,6]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,2,5,6,3]=>[1,4,7,2,5,6,3]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,2,6,3,5]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,7,2,6,5,3]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,7,3,2,5,6]=>[1,4,7,2,5,6,3]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,3,2,6,5]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,7,3,5,2,6]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,7,3,5,6,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,3,6,2,5]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,3,6,5,2]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,7,5,2,3,6]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,7,5,2,6,3]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,7,5,3,2,6]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,7,5,3,6,2]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[1,4,7,5,6,2,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,5,6,3,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,6,2,5,3]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,6,3,2,5]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,6,3,5,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,6,5,2,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,4,7,6,5,3,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,2,3,6,4,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,2,3,6,7,4]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,2,3,7,4,6]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,2,3,7,6,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,2,4,3,6,7]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,2,4,6,3,7]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,2,4,6,7,3]=>[1,5,2,4,6,7,3]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,2,4,7,3,6]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,2,4,7,6,3]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,2,6,3,4,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,2,6,4,3,7]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,2,6,4,7,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,2,6,7,3,4]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,2,6,7,4,3]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,2,7,4,3,6]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,2,7,6,3,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,2,7,6,4,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,3,2,4,6,7]=>[1,5,2,4,6,7,3]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,3,2,4,7,6]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,3,2,6,4,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,3,2,6,7,4]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,3,2,7,4,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,3,2,7,6,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,3,4,2,6,7]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,3,4,6,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,3,4,6,7,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,3,4,7,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,3,4,7,6,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,3,6,2,4,7]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,3,6,4,2,7]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,3,6,4,7,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,3,6,7,2,4]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,3,6,7,4,2]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,3,7,2,4,6]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,3,7,4,2,6]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,3,7,4,6,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,3,7,6,2,4]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,3,7,6,4,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,2,3,6,7]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,2,3,7,6]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,2,6,3,7]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,2,6,7,3]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,2,7,6,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,3,2,6,7]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,3,2,7,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,3,6,2,7]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,3,6,7,2]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,3,7,2,6]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,3,7,6,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,6,2,3,7]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,6,2,7,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,6,3,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,6,3,7,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,6,7,3,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,7,2,3,6]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,7,2,6,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,7,3,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,7,3,6,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,4,7,6,3,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,6,2,3,4,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,2,3,7,4]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,2,4,3,7]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,6,2,4,7,3]=>[1,5,6,2,4,7,3]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,6,2,7,3,4]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,2,7,4,3]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,3,2,4,7]=>[1,5,6,2,4,7,3]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,6,3,2,7,4]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,3,4,2,7]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,3,4,7,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,3,7,2,4]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,6,3,7,4,2]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,4,2,3,7]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,4,2,7,3]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,4,3,2,7]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,4,3,7,2]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,4,7,2,3]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,4,7,3,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,7,2,4,3]=>[1,5,6,7,2,4,3]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,6,7,3,2,4]=>[1,5,6,7,2,4,3]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[1,5,6,7,3,4,2]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,7,4,2,3]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,6,7,4,3,2]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[1,5,7,2,3,4,6]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,2,3,6,4]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,2,4,3,6]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,7,2,4,6,3]=>[1,5,7,2,4,6,3]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,7,2,6,3,4]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,2,6,4,3]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,3,2,4,6]=>[1,5,7,2,4,6,3]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,7,3,2,6,4]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,3,4,2,6]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,3,4,6,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,3,6,2,4]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,7,3,6,4,2]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,4,2,3,6]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,4,2,6,3]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,4,3,2,6]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,4,3,6,2]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,4,6,2,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,4,6,3,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,6,2,3,4]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,6,2,4,3]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,7,6,3,2,4]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[1,5,7,6,3,4,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,6,4,2,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,5,7,6,4,3,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,2,3,4,7,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,2,3,5,7,4]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,2,3,7,4,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,2,3,7,5,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,2,4,3,5,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,2,4,3,7,5]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,2,4,5,3,7]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,2,4,5,7,3]=>[1,6,2,4,5,7,3]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,2,4,7,3,5]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,2,4,7,5,3]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,2,5,3,7,4]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,2,5,4,3,7]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,2,5,4,7,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,2,5,7,3,4]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,2,5,7,4,3]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,2,7,3,4,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,2,7,3,5,4]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,2,7,5,3,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,2,7,5,4,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,3,2,4,5,7]=>[1,6,2,4,5,7,3]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,3,2,4,7,5]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,3,2,5,7,4]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,3,2,7,4,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,3,2,7,5,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,3,4,2,5,7]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,3,4,5,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,3,4,5,7,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,3,4,7,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,3,4,7,5,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,3,5,2,4,7]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,3,5,2,7,4]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,3,5,4,2,7]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,3,5,4,7,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,3,5,7,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,3,5,7,4,2]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,3,7,2,4,5]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,3,7,4,2,5]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,3,7,4,5,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,3,7,5,2,4]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,3,7,5,4,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,2,3,5,7]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,4,2,3,7,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,2,5,3,7]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,4,2,5,7,3]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,4,2,7,3,5]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,4,2,7,5,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,3,2,5,7]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,4,3,2,7,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,3,5,2,7]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,4,3,5,7,2]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,4,3,7,2,5]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,4,3,7,5,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,5,2,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,5,2,7,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,5,3,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,5,3,7,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,5,7,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,7,2,3,5]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,4,7,2,5,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,4,7,3,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,4,7,3,5,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,4,7,5,2,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,4,7,5,3,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,2,3,4,7]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,2,3,7,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,2,4,3,7]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,5,2,4,7,3]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,2,7,4,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,3,2,4,7]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,5,3,2,7,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,3,4,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,3,4,7,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,3,7,2,4]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,5,3,7,4,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,4,2,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,4,2,7,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,4,3,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,4,3,7,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,4,7,2,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,4,7,3,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,7,2,3,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,5,7,3,4,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,7,4,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,5,7,4,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,7,2,4,3,5]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,7,2,5,3,4]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,7,2,5,4,3]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,7,3,2,5,4]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,7,3,4,2,5]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,7,3,4,5,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,7,3,5,2,4]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,7,3,5,4,2]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,7,4,2,3,5]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,7,4,2,5,3]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,7,4,3,2,5]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[1,6,7,4,3,5,2]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,7,4,5,3,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,7,5,2,3,4]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,7,5,2,4,3]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,7,5,3,2,4]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[1,6,7,5,3,4,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,7,5,4,2,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,2,3,4,6,5]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,2,3,5,6,4]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,2,3,6,5,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,2,4,3,5,6]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[1,7,2,4,5,3,6]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,2,4,5,6,3]=>[1,7,2,4,5,6,3]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,2,4,6,3,5]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[1,7,2,4,6,5,3]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,2,5,3,6,4]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,2,5,4,3,6]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,2,5,4,6,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,2,5,6,3,4]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,2,5,6,4,3]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,2,6,3,4,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[1,7,2,6,4,3,5]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,2,6,5,3,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,2,6,5,4,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,3,2,4,5,6]=>[1,7,2,4,5,6,3]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,3,2,4,6,5]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[1,7,3,2,5,4,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,3,2,5,6,4]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,3,2,6,4,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,3,2,6,5,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,3,4,2,5,6]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,3,4,5,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,3,4,5,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,3,4,6,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,3,4,6,5,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[1,7,3,5,2,4,6]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[1,7,3,5,2,6,4]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[1,7,3,5,4,2,6]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[1,7,3,5,4,6,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,3,5,6,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,3,5,6,4,2]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,3,6,2,4,5]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,3,6,4,2,5]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,3,6,5,2,4]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[1,7,3,6,5,4,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,4,2,3,5,6]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,4,2,3,6,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,4,2,5,3,6]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,4,2,5,6,3]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[1,7,4,2,6,5,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,4,3,2,5,6]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,4,3,2,6,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,4,3,5,2,6]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[1,7,4,3,5,6,2]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,4,3,6,5,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,4,5,2,6,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,4,5,3,6,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,4,5,6,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,4,5,6,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,4,6,2,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,4,6,3,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,4,6,5,2,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[1,7,4,6,5,3,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[1,7,5,2,3,4,6]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[1,7,5,2,3,6,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,5,2,4,3,6]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[1,7,5,2,4,6,3]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[1,7,5,2,6,3,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,5,2,6,4,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,5,3,2,4,6]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[1,7,5,3,2,6,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,5,3,4,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,5,3,4,6,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[1,7,5,3,6,2,4]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[1,7,5,3,6,4,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,5,4,2,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,5,4,2,6,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[1,7,5,4,3,6,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[1,7,5,4,6,2,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[1,7,5,4,6,3,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,5,6,3,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,5,6,4,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,6,2,3,5,4]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,6,2,4,3,5]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,6,2,4,5,3]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,6,2,5,3,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,6,2,5,4,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,6,3,2,4,5]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,6,3,2,5,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,6,3,4,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,6,3,5,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,6,3,5,4,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,6,4,2,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,6,4,2,5,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,6,4,3,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[1,7,6,4,3,5,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[1,7,6,4,5,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,6,4,5,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,6,5,2,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,6,5,3,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[1,7,6,5,3,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[2,1,3,4,5,7,6]=>[1,3,4,5,7,2,6]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,1,3,4,6,5,7]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,1,3,4,6,7,5]=>[1,3,4,6,7,2,5]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,1,3,4,7,5,6]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[2,1,3,4,7,6,5]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[2,1,3,5,4,6,7]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,1,3,5,4,7,6]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,1,3,5,6,4,7]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,1,3,5,6,7,4]=>[1,3,5,6,7,2,4]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,1,3,5,7,4,6]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,1,3,5,7,6,4]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,1,3,6,4,5,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,1,3,6,4,7,5]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,1,3,6,5,4,7]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,1,3,6,5,7,4]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,1,3,6,7,4,5]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,1,3,6,7,5,4]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,1,3,7,4,5,6]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,1,3,7,4,6,5]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[2,1,3,7,5,4,6]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[2,1,3,7,5,6,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,1,3,7,6,4,5]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,1,4,3,5,6,7]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,4,3,5,7,6]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,3,6,7,5]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,3,7,5,6]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,1,4,3,7,6,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,1,4,5,3,6,7]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,4,5,3,7,6]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,1,4,5,6,3,7]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,4,5,6,7,3]=>[1,4,5,6,7,2,3]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,4,5,7,3,6]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,1,4,5,7,6,3]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,6,3,7,5]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,6,5,3,7]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,6,5,7,3]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,6,7,3,5]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,6,7,5,3]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,7,3,5,6]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,1,4,7,3,6,5]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,1,4,7,5,3,6]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,1,4,7,5,6,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,1,4,7,6,3,5]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,1,4,7,6,5,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,1,5,3,4,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,3,4,7,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,5,3,6,4,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,3,6,7,4]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,3,7,4,6]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,5,3,7,6,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,5,4,3,6,7]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,4,3,7,6]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,5,4,6,3,7]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,5,4,6,7,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,4,7,3,6]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,4,7,6,3]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,5,6,3,4,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,6,3,7,4]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,6,4,3,7]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,6,4,7,3]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,6,7,3,4]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,6,7,4,3]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,1,5,7,3,4,6]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,5,7,3,6,4]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,5,7,4,3,6]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,5,7,4,6,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,5,7,6,4,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,1,6,3,4,5,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,3,4,7,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,3,5,4,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,1,6,3,5,7,4]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,1,6,3,7,4,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,3,7,5,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,4,3,5,7]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,1,6,4,3,7,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,4,5,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,4,5,7,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,4,7,3,5]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,1,6,4,7,5,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,5,3,4,7]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,5,3,7,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,5,4,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,5,4,7,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,5,7,3,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,5,7,4,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,7,3,4,5]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,7,3,5,4]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,1,6,7,4,3,5]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,1,6,7,4,5,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,7,5,3,4]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,6,7,5,4,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,1,7,3,4,5,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,1,7,3,4,6,5]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[2,1,7,3,5,4,6]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,1,7,3,5,6,4]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,1,7,3,6,4,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,1,7,3,6,5,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,1,7,4,3,5,6]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,1,7,4,3,6,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,1,7,4,5,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,1,7,4,5,6,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,1,7,4,6,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,1,7,4,6,5,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[2,1,7,5,3,4,6]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[2,1,7,5,3,6,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,1,7,5,4,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,1,7,5,4,6,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[2,1,7,5,6,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,1,7,5,6,4,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,1,7,6,3,4,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,1,7,6,3,5,4]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,1,7,6,4,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,1,7,6,4,5,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,1,7,6,5,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,1,7,6,5,4,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,3,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,3,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,3,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,3,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,3,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,3,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,3,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[2,3,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,3,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,3,4,1,5,6,7]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,4,1,5,7,6]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,3,4,1,6,5,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,4,1,6,7,5]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,4,1,7,5,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,3,4,1,7,6,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,3,4,5,1,6,7]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,4,5,1,7,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,3,4,5,6,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[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]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[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]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,3,4,6,1,7,5]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[2,3,4,6,5,1,7]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,6,7,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,4,6,7,5,1]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,7,1,5,6]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,4,7,1,6,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,4,7,5,1,6]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[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]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[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]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,5,1,4,7,6]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,3,5,1,6,4,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,3,5,1,7,4,6]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,3,5,1,7,6,4]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,3,5,4,1,6,7]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,3,5,4,1,7,6]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,3,5,4,6,1,7]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,4,7,1,6]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,6,1,4,7]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,3,5,6,1,7,4]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,3,5,6,4,1,7]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[2,3,5,6,4,7,1]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,6,7,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,3,5,6,7,4,1]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,3,5,7,1,4,6]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,5,7,1,6,4]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,3,5,7,4,1,6]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,3,5,7,4,6,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,5,7,6,1,4]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,3,5,7,6,4,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[2,3,6,1,4,5,7]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,3,6,1,4,7,5]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,3,6,1,5,4,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,6,1,5,7,4]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,3,6,1,7,4,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,3,6,1,7,5,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,3,6,4,1,5,7]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,3,6,4,1,7,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,3,6,4,5,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,3,6,4,5,7,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,4,7,1,5]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,6,4,7,5,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,5,1,4,7]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,3,6,5,1,7,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,3,6,5,4,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[2,3,6,5,4,7,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,5,7,1,4]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[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]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,3,6,7,1,5,4]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,6,7,4,1,5]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,6,7,4,5,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,6,7,5,1,4]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,6,7,5,4,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[2,3,7,1,4,5,6]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,3,7,1,4,6,5]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,7,1,5,4,6]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,3,7,1,5,6,4]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,7,1,6,4,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,7,1,6,5,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,7,4,1,5,6]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,7,4,1,6,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,7,4,5,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[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]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,3,7,4,6,5,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[2,3,7,5,1,4,6]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,7,5,1,6,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,7,5,4,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,3,7,5,4,6,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[2,3,7,5,6,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[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]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,3,7,6,1,5,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,3,7,6,4,1,5]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,3,7,6,4,5,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,3,7,6,5,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,3,7,6,5,4,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[2,4,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,4,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,4,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,4,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,4,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,4,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,4,1,5,3,6,7]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,1,5,6,3,7]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,1,5,6,7,3]=>[1,5,6,7,2,4,3]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,1,5,7,3,6]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,1,5,7,6,3]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,1,6,3,7,5]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,1,6,5,3,7]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,1,6,5,7,3]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,1,6,7,3,5]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,1,6,7,5,3]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,1,7,3,5,6]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,4,1,7,5,3,6]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,4,1,7,5,6,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,1,7,6,3,5]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,1,7,6,5,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,3,1,5,6,7]=>[1,5,6,7,2,4,3]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,3,1,5,7,6]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,3,1,6,5,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,3,1,6,7,5]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,3,1,7,5,6]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,3,1,7,6,5]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,3,5,1,6,7]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,3,5,1,7,6]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,3,5,6,1,7]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,3,5,7,1,6]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,3,6,1,5,7]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,4,3,6,5,1,7]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,3,6,7,1,5]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,3,6,7,5,1]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,3,7,1,5,6]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,3,7,5,1,6]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,3,7,5,6,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,3,7,6,1,5]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,3,7,6,5,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,5,1,3,6,7]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,4,5,1,3,7,6]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,4,5,1,6,3,7]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,5,1,6,7,3]=>[1,6,7,2,4,5,3]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,5,1,7,3,6]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,5,1,7,6,3]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,5,3,1,6,7]=>[1,6,7,2,4,5,3]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,5,3,1,7,6]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,5,3,6,1,7]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,5,3,6,7,1]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,5,3,7,1,6]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,5,3,7,6,1]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,4,5,6,1,7,3]=>[1,7,2,4,5,6,3]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,5,6,3,1,7]=>[1,7,2,4,5,6,3]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,4,5,6,3,7,1]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,5,6,7,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[2,4,5,6,7,3,1]=>[1,2,4,5,6,7,3]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,4,5,7,1,3,6]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,4,5,7,1,6,3]=>[1,6,2,4,5,7,3]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,5,7,3,1,6]=>[1,6,2,4,5,7,3]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,5,7,3,6,1]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,5,7,6,1,3]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,4,5,7,6,3,1]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,4,6,1,3,7,5]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[2,4,6,1,5,3,7]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,6,1,5,7,3]=>[1,5,7,2,4,6,3]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,6,1,7,3,5]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,4,6,1,7,5,3]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,4,6,3,1,5,7]=>[1,5,7,2,4,6,3]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,6,3,1,7,5]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,4,6,3,5,1,7]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,4,6,3,5,7,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,3,7,1,5]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,6,3,7,5,1]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,5,1,3,7]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[2,4,6,5,1,7,3]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[2,4,6,5,3,7,1]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,5,7,1,3]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,4,6,5,7,3,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,7,1,3,5]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,4,6,7,1,5,3]=>[1,5,2,4,6,7,3]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,6,7,3,1,5]=>[1,5,2,4,6,7,3]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,6,7,3,5,1]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,7,5,1,3]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,4,6,7,5,3,1]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,7,1,3,5,6]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,4,7,1,3,6,5]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,4,7,1,5,3,6]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,7,1,5,6,3]=>[1,5,6,2,4,7,3]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,7,1,6,3,5]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,7,1,6,5,3]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,7,3,1,5,6]=>[1,5,6,2,4,7,3]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[2,4,7,3,1,6,5]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,7,3,5,1,6]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,7,3,5,6,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,7,3,6,1,5]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,7,3,6,5,1]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,7,5,1,3,6]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,4,7,5,1,6,3]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,7,5,3,1,6]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,4,7,5,3,6,1]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[2,4,7,5,6,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[2,4,7,5,6,3,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,7,6,1,3,5]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,4,7,6,1,5,3]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,7,6,3,1,5]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,4,7,6,3,5,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,4,7,6,5,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[2,4,7,6,5,3,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[2,5,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,5,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[2,5,1,3,6,4,7]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,1,3,6,7,4]=>[1,3,6,7,2,5,4]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,1,3,7,4,6]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[2,5,1,4,3,6,7]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,5,1,4,6,3,7]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,5,1,4,6,7,3]=>[1,4,6,7,2,5,3]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,5,1,4,7,3,6]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,5,1,4,7,6,3]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,5,1,6,3,4,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,1,6,3,7,4]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,1,6,4,3,7]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,1,6,4,7,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,1,6,7,3,4]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,1,6,7,4,3]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,1,7,3,6,4]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,1,7,4,3,6]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,1,7,4,6,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,1,7,6,3,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,1,7,6,4,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,3,1,4,6,7]=>[1,4,6,7,2,5,3]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,5,3,1,4,7,6]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,5,3,1,6,4,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,3,1,6,7,4]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,3,1,7,4,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,3,1,7,6,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,3,4,1,6,7]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,3,4,6,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,3,4,6,7,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,3,4,7,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,3,4,7,6,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,3,6,1,4,7]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,5,3,6,1,7,4]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,3,6,4,1,7]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,3,6,4,7,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,3,6,7,1,4]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,5,3,6,7,4,1]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,3,7,1,4,6]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,3,7,4,1,6]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,3,7,4,6,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,3,7,6,1,4]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,5,3,7,6,4,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,1,3,6,7]=>[1,3,6,7,2,5,4]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,4,1,3,7,6]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[2,5,4,1,6,3,7]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,4,1,6,7,3]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,4,1,7,3,6]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,4,1,7,6,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,4,3,1,6,7]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,4,3,1,7,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,4,3,6,1,7]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,4,3,6,7,1]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,3,7,1,6]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,4,3,7,6,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[2,5,4,6,1,7,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,4,6,3,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,4,6,3,7,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,5,4,6,7,3,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,7,1,3,6]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,4,7,3,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,4,7,3,6,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,4,7,6,1,3]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,5,4,7,6,3,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,6,1,3,4,7]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[2,5,6,1,3,7,4]=>[1,3,7,2,5,6,4]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[2,5,6,1,4,3,7]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,5,6,1,4,7,3]=>[1,4,7,2,5,6,3]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,5,6,1,7,3,4]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,6,1,7,4,3]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,6,3,1,4,7]=>[1,4,7,2,5,6,3]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,5,6,3,1,7,4]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,6,3,4,1,7]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,6,3,4,7,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,3,7,1,4]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,5,6,3,7,4,1]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,4,1,3,7]=>[1,3,7,2,5,6,4]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[2,5,6,4,1,7,3]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,6,4,3,1,7]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,5,6,4,3,7,1]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,4,7,1,3]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,5,6,4,7,3,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,7,1,3,4]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[2,5,6,7,1,4,3]=>[1,4,2,5,6,7,3]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,5,6,7,3,1,4]=>[1,4,2,5,6,7,3]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,5,6,7,3,4,1]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,6,7,4,1,3]=>[1,3,2,5,6,7,4]=>[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,5,6,7,4,3,1]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,5,7,1,3,4,6]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,5,7,1,3,6,4]=>[1,3,6,2,5,7,4]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,7,1,4,3,6]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,5,7,1,4,6,3]=>[1,4,6,2,5,7,3]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,5,7,1,6,3,4]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,7,1,6,4,3]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,7,3,1,4,6]=>[1,4,6,2,5,7,3]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,5,7,3,1,6,4]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,7,3,4,1,6]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,7,3,4,6,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,3,6,1,4]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,5,7,3,6,4,1]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,4,1,3,6]=>[1,3,6,2,5,7,4]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,7,4,1,6,3]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,7,4,3,1,6]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[2,5,7,4,3,6,1]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,4,6,1,3]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,5,7,4,6,3,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,6,1,3,4]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,5,7,6,1,4,3]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,5,7,6,3,1,4]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,5,7,6,3,4,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,5,7,6,4,1,3]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[2,6,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,1,3,4,7,5]=>[1,3,4,7,2,6,5]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[2,6,1,3,5,4,7]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,3,5,7,4]=>[1,3,5,7,2,6,4]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,6,1,3,7,4,5]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[2,6,1,3,7,5,4]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,1,4,5,3,7]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,6,1,4,5,7,3]=>[1,4,5,7,2,6,3]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,6,1,4,7,3,5]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,6,1,4,7,5,3]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,6,1,5,3,4,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,1,5,4,3,7]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,1,5,4,7,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,1,5,7,3,4]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,6,1,5,7,4,3]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[2,6,1,7,4,3,5]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[2,6,1,7,4,5,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,1,7,5,3,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,1,7,5,4,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,3,1,4,5,7]=>[1,4,5,7,2,6,3]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,6,3,1,4,7,5]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,6,3,1,5,4,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,3,1,5,7,4]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,6,3,1,7,4,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,3,1,7,5,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,3,4,1,5,7]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,6,3,4,1,7,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,3,4,5,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,3,4,5,7,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,3,5,1,4,7]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[2,6,3,5,4,1,7]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[2,6,3,5,4,7,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,3,5,7,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,3,5,7,4,1]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,3,7,1,4,5]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,3,7,4,1,5]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,3,7,4,5,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,3,7,5,1,4]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,3,7,5,4,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,1,3,5,7]=>[1,3,5,7,2,6,4]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,6,4,1,3,7,5]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[2,6,4,1,5,3,7]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,4,1,5,7,3]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,6,4,1,7,3,5]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[2,6,4,1,7,5,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,4,3,1,5,7]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,4,3,5,1,7]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[2,6,4,3,5,7,1]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,4,3,7,1,5]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,4,3,7,5,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,5,1,3,7]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[2,6,4,5,1,7,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,4,5,3,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,4,5,3,7,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,4,5,7,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[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]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,4,7,3,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,4,7,3,5,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,4,7,5,1,3]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[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]=>[1,3,4,7,2,6,5]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[2,6,5,1,3,7,4]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[2,6,5,1,4,3,7]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,5,1,4,7,3]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,6,5,1,7,3,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,5,1,7,4,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,5,3,1,4,7]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,6,5,3,1,7,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,5,3,4,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,5,3,4,7,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,5,3,7,1,4]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,5,3,7,4,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,5,4,1,3,7]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[2,6,5,4,1,7,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,5,4,3,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[2,6,5,4,3,7,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,5,4,7,1,3]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,5,4,7,3,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,5,7,1,3,4]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,5,7,3,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,5,7,3,4,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,5,7,4,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,7,1,3,4,5]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[2,6,7,1,3,5,4]=>[1,3,5,2,6,7,4]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,7,1,4,3,5]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,7,1,4,5,3]=>[1,4,5,2,6,7,3]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,6,7,1,5,3,4]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,7,1,5,4,3]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,7,3,1,4,5]=>[1,4,5,2,6,7,3]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,6,7,3,1,5,4]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,7,3,4,1,5]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,7,3,4,5,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,7,3,5,1,4]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,7,3,5,4,1]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,7,4,1,3,5]=>[1,3,5,2,6,7,4]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,7,4,1,5,3]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,7,4,3,1,5]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,6,7,4,3,5,1]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[2,6,7,4,5,1,3]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,7,4,5,3,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,7,5,1,3,4]=>[1,3,4,2,6,7,5]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,7,5,1,4,3]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,7,5,3,1,4]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,6,7,5,3,4,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,6,7,5,4,1,3]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,7,5,4,3,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,7,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[2,7,1,3,4,6,5]=>[1,3,4,6,2,7,5]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,7,1,3,5,4,6]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,7,1,3,5,6,4]=>[1,3,5,6,2,7,4]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,7,1,3,6,4,5]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,7,1,3,6,5,4]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,7,1,4,3,5,6]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,7,1,4,5,3,6]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,7,1,4,5,6,3]=>[1,4,5,6,2,7,3]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,7,1,4,6,3,5]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,7,1,4,6,5,3]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,7,1,5,3,4,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,1,5,4,3,6]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,1,5,4,6,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,1,5,6,3,4]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,7,1,5,6,4,3]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,7,1,6,3,4,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,7,1,6,4,3,5]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,1,6,5,3,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,1,6,5,4,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,3,1,4,5,6]=>[1,4,5,6,2,7,3]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,7,3,1,4,6,5]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,7,3,1,5,4,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,3,1,5,6,4]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,7,3,1,6,4,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,3,1,6,5,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,3,4,1,5,6]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,3,4,5,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[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]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,3,4,6,5,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[2,7,3,5,1,4,6]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,7,3,5,1,6,4]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,7,3,5,4,1,6]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,7,3,5,4,6,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,3,5,6,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,7,3,5,6,4,1]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,3,6,1,4,5]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,3,6,4,1,5]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,3,6,5,1,4]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,7,3,6,5,4,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,7,4,1,3,6,5]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,7,4,1,5,3,6]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,4,1,5,6,3]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,7,4,1,6,3,5]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,7,4,1,6,5,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,4,3,1,5,6]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,7,4,3,1,6,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,4,3,5,1,6]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[2,7,4,3,5,6,1]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,4,3,6,1,5]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,4,3,6,5,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,4,5,1,3,6]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,7,4,5,1,6,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,4,5,3,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,4,5,3,6,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,4,5,6,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[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]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,4,6,3,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,4,6,5,1,3]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[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]=>[1,3,4,6,2,7,5]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,7,5,1,3,6,4]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,7,5,1,4,3,6]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,7,5,1,4,6,3]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,7,5,1,6,3,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,5,1,6,4,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,5,3,1,4,6]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,7,5,3,1,6,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,5,3,4,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,5,3,4,6,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[2,7,5,3,6,1,4]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[2,7,5,3,6,4,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,5,4,1,3,6]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,7,5,4,1,6,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,5,4,3,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,7,5,4,3,6,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[2,7,5,4,6,1,3]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[2,7,5,4,6,3,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[2,7,5,6,1,3,4]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,7,5,6,3,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,5,6,4,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,7,5,6,4,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,6,1,3,4,5]=>[1,3,4,5,2,7,6]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,7,6,1,3,5,4]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,7,6,1,4,3,5]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,7,6,1,4,5,3]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,7,6,1,5,3,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,6,1,5,4,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,6,3,1,4,5]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,7,6,3,1,5,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,6,3,4,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,6,3,4,5,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,6,3,5,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,6,4,1,3,5]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,7,6,4,1,5,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,6,4,3,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,7,6,4,3,5,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[2,7,6,4,5,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,7,6,4,5,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,6,5,1,3,4]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,7,6,5,3,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,7,6,5,3,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[2,7,6,5,4,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[2,7,6,5,4,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,1,2,4,5,6,7]=>[1,2,4,5,6,7,3]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,1,2,4,5,7,6]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[3,1,2,4,6,5,7]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,1,2,4,6,7,5]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,1,2,4,7,5,6]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,1,2,4,7,6,5]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,1,2,5,4,6,7]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,1,2,5,4,7,6]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,1,2,5,6,4,7]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,1,2,5,6,7,4]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,1,2,5,7,4,6]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,1,2,6,4,7,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,1,2,6,5,7,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,1,2,6,7,4,5]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,1,2,6,7,5,4]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,1,2,7,4,5,6]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,1,2,7,4,6,5]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[3,1,2,7,5,4,6]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[3,1,2,7,5,6,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,1,2,7,6,4,5]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,1,4,2,5,6,7]=>[1,4,2,5,6,7,3]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,1,4,2,5,7,6]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,1,4,2,6,5,7]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,4,2,6,7,5]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,4,2,7,5,6]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,1,4,2,7,6,5]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,1,4,5,2,6,7]=>[1,4,5,2,6,7,3]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,1,4,5,2,7,6]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,1,4,5,6,2,7]=>[1,4,5,6,2,7,3]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,1,4,5,6,7,2]=>[1,4,5,6,7,2,3]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,1,4,5,7,2,6]=>[1,4,5,7,2,6,3]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,1,4,5,7,6,2]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,1,4,6,2,5,7]=>[1,4,6,2,5,7,3]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,4,6,2,7,5]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,4,6,5,2,7]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,4,6,5,7,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,4,6,7,2,5]=>[1,4,6,7,2,5,3]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,4,6,7,5,2]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,4,7,2,5,6]=>[1,4,7,2,5,6,3]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,1,4,7,2,6,5]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,1,4,7,5,2,6]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,1,4,7,6,2,5]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,1,4,7,6,5,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,1,5,2,4,6,7]=>[1,5,2,4,6,7,3]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,1,5,2,4,7,6]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,1,5,2,6,4,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,5,2,6,7,4]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,1,5,4,2,6,7]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,5,4,2,7,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,1,5,4,6,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,1,5,4,6,7,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,1,5,6,2,4,7]=>[1,5,6,2,4,7,3]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,1,5,6,2,7,4]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,5,6,4,2,7]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,5,6,4,7,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,5,6,7,2,4]=>[1,5,6,7,2,4,3]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,1,5,6,7,4,2]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,5,7,2,4,6]=>[1,5,7,2,4,6,3]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,1,5,7,2,6,4]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,1,5,7,4,2,6]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,1,5,7,4,6,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,1,5,7,6,4,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,1,6,2,4,5,7]=>[1,6,2,4,5,7,3]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,1,6,2,4,7,5]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,1,6,2,5,7,4]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,6,2,7,5,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,6,4,2,5,7]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,1,6,4,2,7,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,6,4,5,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,6,4,5,7,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,6,4,7,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,1,6,4,7,5,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,6,5,2,4,7]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,1,6,5,2,7,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,6,5,4,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,6,5,4,7,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,6,5,7,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,1,6,5,7,4,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,1,6,7,2,5,4]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,1,6,7,4,2,5]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,1,6,7,4,5,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,6,7,5,2,4]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,1,6,7,5,4,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,1,7,2,4,5,6]=>[1,7,2,4,5,6,3]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,1,7,2,4,6,5]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[3,1,7,2,5,4,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,1,7,2,5,6,4]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,1,7,2,6,4,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,1,7,2,6,5,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,1,7,4,2,5,6]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,1,7,4,2,6,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,1,7,4,5,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,1,7,4,5,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,1,7,4,6,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,1,7,4,6,5,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[3,1,7,5,2,4,6]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[3,1,7,5,2,6,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,1,7,5,4,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,1,7,5,4,6,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[3,1,7,5,6,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,1,7,5,6,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,1,7,6,2,4,5]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,2,1,4,5,7,6]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,1,4,6,7,5]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,1,4,7,5,6]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,2,1,4,7,6,5]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,5,4,7,6]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,1,5,6,4,7]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,5,6,7,4]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,5,7,4,6]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,1,5,7,6,4]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,1,6,4,7,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,1,6,5,7,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,1,6,7,4,5]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,1,6,7,5,4]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,1,7,4,5,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,2,1,7,4,6,5]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[3,2,1,7,5,4,6]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[3,2,1,7,5,6,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,2,1,7,6,4,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,2,4,1,5,6,7]=>[1,5,6,7,2,4,3]=>[5,7,6,2,3,4,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,2,4,1,5,7,6]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,2,4,1,6,5,7]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,2,4,1,6,7,5]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,2,4,1,7,5,6]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,2,4,1,7,6,5]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,2,4,5,1,6,7]=>[1,6,7,2,4,5,3]=>[4,7,5,6,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,2,4,5,1,7,6]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,2,4,5,6,1,7]=>[1,7,2,4,5,6,3]=>[3,7,4,5,6,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,2,4,5,6,7,1]=>[1,2,4,5,6,7,3]=>[2,7,3,4,5,6,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,2,4,5,7,1,6]=>[1,6,2,4,5,7,3]=>[3,7,4,5,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,2,4,5,7,6,1]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[3,2,4,6,1,5,7]=>[1,5,7,2,4,6,3]=>[4,7,5,2,6,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,2,4,6,1,7,5]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[3,2,4,6,5,1,7]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[3,2,4,6,5,7,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,2,4,6,7,1,5]=>[1,5,2,4,6,7,3]=>[3,7,4,2,5,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,2,4,6,7,5,1]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,2,4,7,1,5,6]=>[1,5,6,2,4,7,3]=>[4,7,5,2,3,6,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,2,4,7,1,6,5]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,2,4,7,5,1,6]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,2,4,7,5,6,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,2,4,7,6,1,5]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,2,4,7,6,5,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,2,5,1,4,6,7]=>[1,4,6,7,2,5,3]=>[5,7,2,6,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,5,1,4,7,6]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,2,5,1,6,7,4]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,2,5,4,1,6,7]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,2,5,4,1,7,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,2,5,4,6,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,2,5,4,6,7,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,2,5,4,7,6,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,2,5,6,1,4,7]=>[1,4,7,2,5,6,3]=>[4,7,2,5,6,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,2,5,6,1,7,4]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,2,5,6,4,1,7]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,2,5,6,4,7,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,2,5,6,7,1,4]=>[1,4,2,5,6,7,3]=>[3,7,2,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,2,5,6,7,4,1]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,2,5,7,1,4,6]=>[1,4,6,2,5,7,3]=>[4,7,2,5,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,5,7,1,6,4]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,2,5,7,4,1,6]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,2,5,7,4,6,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,2,5,7,6,4,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,2,6,1,4,5,7]=>[1,4,5,7,2,6,3]=>[5,7,2,3,6,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,2,6,1,4,7,5]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,2,6,1,5,4,7]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,6,1,5,7,4]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,6,1,7,4,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,2,6,1,7,5,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,2,6,4,1,5,7]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,6,4,1,7,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,2,6,4,5,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,2,6,4,5,7,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,2,6,4,7,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,6,4,7,5,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,2,6,5,1,4,7]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,2,6,5,1,7,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,2,6,5,4,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,2,6,5,4,7,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,6,5,7,4,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,2,6,7,1,4,5]=>[1,4,5,2,6,7,3]=>[4,7,2,3,5,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,2,6,7,1,5,4]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,6,7,4,1,5]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,6,7,4,5,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,2,6,7,5,1,4]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,6,7,5,4,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,2,7,1,4,5,6]=>[1,4,5,6,2,7,3]=>[5,7,2,3,4,6,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,2,7,1,4,6,5]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,7,1,5,4,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,7,1,5,6,4]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,7,1,6,4,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,7,1,6,5,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,7,4,1,5,6]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,7,4,1,6,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,7,4,5,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,7,4,5,6,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,2,7,4,6,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,7,4,6,5,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[3,2,7,5,1,4,6]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,7,5,1,6,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,7,5,4,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,2,7,5,4,6,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[3,2,7,5,6,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,2,7,5,6,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,4,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,4,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,4,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,4,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,4,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,4,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,4,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,4,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,4,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,4,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,4,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,4,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,4,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,4,5,1,2,6,7]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,5,1,2,7,6]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,4,5,1,6,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,5,1,6,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,4,5,1,7,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,5,2,1,6,7]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,5,2,1,7,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,5,2,6,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[3,4,5,2,6,7,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,5,2,7,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,5,2,7,6,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,4,5,6,1,7,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,5,6,2,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,5,6,2,7,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,4,5,6,7,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,5,7,1,6,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,5,7,2,6,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,5,7,6,1,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[3,4,5,7,6,2,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[3,4,6,1,2,5,7]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,4,6,1,2,7,5]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[3,4,6,1,5,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,6,1,5,7,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,6,1,7,5,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[3,4,6,2,1,5,7]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,6,2,1,7,5]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[3,4,6,2,5,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,6,2,5,7,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,4,6,2,7,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,6,2,7,5,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[3,4,6,5,1,2,7]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[3,4,6,5,1,7,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[3,4,6,5,2,1,7]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[3,4,6,5,2,7,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[3,4,6,5,7,1,2]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[3,4,6,5,7,2,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[3,4,6,7,1,2,5]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,6,7,1,5,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,6,7,2,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,6,7,2,5,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,6,7,5,1,2]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[3,4,6,7,5,2,1]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[3,4,7,1,2,5,6]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,7,1,2,6,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,7,1,5,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,7,1,5,6,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,7,1,6,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,4,7,1,6,5,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,7,2,1,5,6]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,7,2,1,6,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,7,2,5,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,4,7,2,5,6,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,4,7,2,6,5,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,7,5,1,2,6]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,7,5,1,6,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,7,5,2,1,6]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,7,5,2,6,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,7,5,6,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[3,4,7,5,6,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[3,4,7,6,1,2,5]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,7,6,2,1,5]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,7,6,2,5,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,4,7,6,5,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[3,4,7,6,5,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[3,5,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,5,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,5,1,2,6,4,7]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,1,2,6,7,4]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,1,2,7,6,4]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,5,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,5,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,5,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,5,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,5,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,5,1,6,2,7,4]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,1,6,4,2,7]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,1,6,4,7,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,5,1,6,7,4,2]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[3,5,1,7,4,2,6]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,5,1,7,6,4,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,2,1,6,7,4]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,2,1,7,4,6]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,2,1,7,6,4]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,5,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[3,5,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,5,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,5,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,5,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[3,5,2,6,4,1,7]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[3,5,2,6,4,7,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,5,2,6,7,4,1]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,5,2,7,1,6,4]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,2,7,4,1,6]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,2,7,4,6,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,5,2,7,6,4,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,4,1,2,6,7]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,4,1,2,7,6]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,4,1,6,2,7]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,4,1,6,7,2]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,4,1,7,2,6]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[3,5,4,1,7,6,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,4,2,1,6,7]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,4,2,1,7,6]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,4,2,6,1,7]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[3,5,4,2,6,7,1]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,4,2,7,1,6]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,4,2,7,6,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,4,6,1,2,7]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,4,6,1,7,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,4,6,2,1,7]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,4,6,2,7,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,4,6,7,1,2]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,4,6,7,2,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,4,7,1,2,6]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,4,7,1,6,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,4,7,2,1,6]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,4,7,2,6,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,4,7,6,1,2]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[3,5,4,7,6,2,1]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[3,5,6,1,2,4,7]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,5,6,1,2,7,4]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,6,1,4,2,7]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,5,6,1,4,7,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,5,6,1,7,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,5,6,1,7,4,2]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,5,6,2,1,7,4]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,6,2,4,1,7]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,5,6,2,4,7,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,5,6,2,7,4,1]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,6,4,1,2,7]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,6,4,1,7,2]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,6,4,2,1,7]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[3,5,6,4,2,7,1]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[3,5,6,4,7,1,2]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,6,4,7,2,1]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,6,7,1,2,4]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,5,6,7,1,4,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,5,6,7,2,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,5,6,7,2,4,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,5,6,7,4,1,2]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,6,7,4,2,1]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,5,7,1,2,6,4]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,7,1,4,2,6]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,5,7,1,4,6,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,5,7,1,6,4,2]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,7,2,1,4,6]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,5,7,2,1,6,4]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,5,7,2,4,6,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,5,7,2,6,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,5,7,2,6,4,1]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,7,4,1,2,6]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,7,4,1,6,2]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,7,4,2,1,6]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[3,5,7,4,2,6,1]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[3,5,7,4,6,1,2]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[3,5,7,4,6,2,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[3,5,7,6,1,2,4]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[3,5,7,6,1,4,2]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,5,7,6,2,4,1]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[3,5,7,6,4,1,2]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[3,5,7,6,4,2,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[3,6,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[3,6,1,2,4,7,5]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[3,6,1,2,5,4,7]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,6,1,2,7,4,5]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,1,2,7,5,4]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,6,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,6,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,6,1,4,7,5,2]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,1,5,2,7,4]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,6,1,5,4,2,7]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,6,1,5,4,7,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,6,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,1,5,7,4,2]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,6,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,6,1,7,2,5,4]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,6,1,7,4,2,5]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,6,1,7,4,5,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[3,6,1,7,5,4,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,6,2,1,4,7,5]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,2,1,5,4,7]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,6,2,1,5,7,4]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,6,2,1,7,4,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,2,1,7,5,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,2,4,1,7,5]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[3,6,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,6,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[3,6,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,6,2,4,7,5,1]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[3,6,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,6,2,5,1,7,4]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,6,2,5,4,1,7]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,6,2,5,4,7,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,6,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,6,2,5,7,4,1]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,6,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,6,2,7,4,1,5]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,6,2,7,4,5,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,2,7,5,1,4]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,2,7,5,4,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,4,1,2,5,7]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,6,4,1,2,7,5]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,4,1,5,2,7]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,6,4,1,5,7,2]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,6,4,1,7,2,5]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,6,4,1,7,5,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,4,2,1,5,7]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,6,4,2,1,7,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,4,2,5,1,7]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,6,4,2,5,7,1]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,6,4,2,7,1,5]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,6,4,2,7,5,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,4,5,1,2,7]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,4,5,1,7,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,4,5,2,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,4,5,2,7,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,4,5,7,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,6,4,5,7,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,6,4,7,1,2,5]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,6,4,7,1,5,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,6,4,7,2,1,5]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,6,4,7,2,5,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,6,4,7,5,1,2]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,6,4,7,5,2,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,6,5,1,2,4,7]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[3,6,5,1,2,7,4]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,5,1,4,2,7]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,5,1,4,7,2]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[3,6,5,1,7,4,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,5,2,1,4,7]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,5,2,1,7,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,5,2,4,1,7]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[3,6,5,2,4,7,1]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[3,6,5,2,7,1,4]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[3,6,5,2,7,4,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,5,4,1,2,7]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,5,4,1,7,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,5,4,2,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[3,6,5,4,2,7,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[3,6,5,4,7,1,2]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,6,5,4,7,2,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,6,5,7,1,2,4]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,6,5,7,1,4,2]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,6,5,7,2,1,4]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,6,5,7,2,4,1]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,6,5,7,4,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,6,5,7,4,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,6,7,1,2,4,5]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,6,7,1,2,5,4]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,6,7,1,4,2,5]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,6,7,1,4,5,2]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,6,7,1,5,2,4]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,6,7,1,5,4,2]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,6,7,2,1,4,5]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,6,7,2,1,5,4]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,6,7,2,4,1,5]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,6,7,2,4,5,1]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,6,7,2,5,1,4]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,6,7,2,5,4,1]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,6,7,4,1,2,5]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,6,7,4,1,5,2]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,6,7,4,2,1,5]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,6,7,4,2,5,1]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,6,7,4,5,1,2]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,6,7,4,5,2,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,6,7,5,1,2,4]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,6,7,5,1,4,2]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,6,7,5,2,1,4]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,6,7,5,2,4,1]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,6,7,5,4,1,2]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,6,7,5,4,2,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,7,1,2,4,6,5]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,7,1,2,5,4,6]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,7,1,2,5,6,4]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,7,1,2,6,4,5]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,1,2,6,5,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,7,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,7,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,7,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,7,1,4,6,5,2]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,7,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,7,1,5,4,2,6]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,7,1,5,4,6,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,7,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,7,1,5,6,4,2]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,7,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,7,1,6,4,2,5]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,7,1,6,4,5,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,1,6,5,2,4]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,1,6,5,4,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,7,2,1,4,6,5]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,7,2,1,5,4,6]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,7,2,1,5,6,4]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,7,2,1,6,4,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,2,1,6,5,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,7,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[3,7,2,4,6,5,1]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,7,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,7,2,5,1,6,4]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,7,2,5,4,1,6]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,7,2,5,4,6,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,7,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,7,2,5,6,4,1]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,7,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,7,2,6,4,1,5]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,7,2,6,4,5,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,2,6,5,1,4]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,7,2,6,5,4,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,4,1,2,5,6]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,7,4,1,2,6,5]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,4,1,5,2,6]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,7,4,1,6,2,5]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,7,4,1,6,5,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,4,2,1,5,6]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,7,4,2,1,6,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,4,2,5,1,6]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[3,7,4,2,5,6,1]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,7,4,2,6,1,5]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,7,4,2,6,5,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,4,5,1,6,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,4,5,2,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,4,5,2,6,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,4,5,6,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[3,7,4,5,6,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[3,7,4,6,1,2,5]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,7,4,6,1,5,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,7,4,6,2,1,5]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,7,4,6,5,1,2]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[3,7,5,1,2,4,6]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,7,5,1,2,6,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,5,1,4,2,6]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,7,5,1,4,6,2]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,7,5,1,6,2,4]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,5,1,6,4,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,5,2,1,4,6]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,7,5,2,1,6,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,5,2,4,1,6]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,7,5,2,4,6,1]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,7,5,2,6,1,4]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,7,5,2,6,4,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,5,4,1,2,6]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,5,4,1,6,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,5,4,2,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,7,5,4,2,6,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,7,5,4,6,1,2]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[3,7,5,4,6,2,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,7,5,6,2,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,7,5,6,4,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[3,7,5,6,4,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[3,7,6,1,2,4,5]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[3,7,6,1,2,5,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,7,6,1,4,2,5]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,7,6,1,4,5,2]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,7,6,1,5,2,4]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,7,6,1,5,4,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,7,6,2,1,4,5]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,7,6,2,1,5,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,7,6,2,4,1,5]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,7,6,2,4,5,1]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[3,7,6,2,5,1,4]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,7,6,2,5,4,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,7,6,4,1,2,5]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,7,6,4,1,5,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,7,6,4,2,1,5]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,7,6,4,2,5,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[3,7,6,4,5,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[3,7,6,4,5,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[3,7,6,5,1,2,4]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,7,6,5,1,4,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,7,6,5,2,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,7,6,5,2,4,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[3,7,6,5,4,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[3,7,6,5,4,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,1,2,3,5,7,6]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,1,2,3,6,5,7]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,1,2,3,6,7,5]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,1,2,3,7,5,6]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,1,2,3,7,6,5]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,1,2,5,3,6,7]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,1,2,5,3,7,6]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,1,2,5,6,3,7]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,1,2,5,6,7,3]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,1,2,5,7,3,6]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,1,2,5,7,6,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,1,2,6,3,5,7]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,1,2,6,3,7,5]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,1,2,6,5,3,7]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,1,2,6,5,7,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,1,2,6,7,3,5]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,1,2,6,7,5,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,1,2,7,3,5,6]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,1,2,7,5,3,6]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,1,2,7,5,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,1,2,7,6,3,5]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,1,2,7,6,5,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,1,3,2,5,6,7]=>[1,3,2,5,6,7,4]=>[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,1,3,2,5,7,6]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,1,3,2,6,5,7]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,1,3,2,6,7,5]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,1,3,2,7,5,6]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,1,3,2,7,6,5]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,1,3,5,2,6,7]=>[1,3,5,2,6,7,4]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,1,3,5,2,7,6]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,1,3,5,6,2,7]=>[1,3,5,6,2,7,4]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,1,3,5,7,2,6]=>[1,3,5,7,2,6,4]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,1,3,5,7,6,2]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,1,3,6,2,5,7]=>[1,3,6,2,5,7,4]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,1,3,6,2,7,5]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,1,3,6,5,2,7]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,1,3,6,5,7,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,1,3,6,7,2,5]=>[1,3,6,7,2,5,4]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,1,3,6,7,5,2]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,1,3,7,2,5,6]=>[1,3,7,2,5,6,4]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[4,1,3,7,2,6,5]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,1,3,7,5,2,6]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,1,3,7,5,6,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[4,1,3,7,6,5,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,1,5,2,3,6,7]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,2,3,7,6]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,2,6,7,3]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,5,3,2,6,7]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,3,2,7,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,5,3,6,2,7]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,5,3,6,7,2]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,3,7,2,6]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,3,7,6,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,5,6,2,3,7]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,6,2,7,3]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,6,3,2,7]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,6,3,7,2]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,6,7,2,3]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,6,7,3,2]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,1,5,7,2,3,6]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,5,7,2,6,3]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,5,7,3,2,6]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,5,7,3,6,2]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,5,7,6,2,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,5,7,6,3,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,1,6,2,3,5,7]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,1,6,2,3,7,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,1,6,2,5,7,3]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,1,6,2,7,5,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,6,3,2,5,7]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,1,6,3,2,7,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,6,3,5,2,7]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,1,6,3,5,7,2]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,1,6,3,7,2,5]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,1,6,3,7,5,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,6,5,2,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,6,5,2,7,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,6,5,3,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,6,5,3,7,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,6,5,7,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,6,5,7,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,1,6,7,2,5,3]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,1,6,7,3,2,5]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,1,6,7,3,5,2]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,6,7,5,3,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,1,7,2,3,5,6]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,1,7,2,3,6,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,1,7,2,5,3,6]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,1,7,2,5,6,3]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,1,7,2,6,3,5]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,1,7,3,2,5,6]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,1,7,3,2,6,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,1,7,3,5,2,6]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[4,1,7,3,5,6,2]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,1,7,3,6,2,5]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,1,7,3,6,5,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,1,7,5,2,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,1,7,5,2,6,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,1,7,5,3,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,1,7,5,6,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,1,7,5,6,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,1,7,6,2,5,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,1,7,6,3,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,1,7,6,3,5,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,1,7,6,5,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,1,7,6,5,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,2,1,3,5,6,7]=>[1,3,5,6,7,2,4]=>[6,2,7,3,4,5,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,2,1,3,5,7,6]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,2,1,3,6,5,7]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,2,1,3,6,7,5]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,2,1,3,7,5,6]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,2,1,3,7,6,5]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,2,1,5,3,6,7]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,1,5,3,7,6]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,1,5,6,3,7]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,1,5,6,7,3]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,1,5,7,3,6]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,1,5,7,6,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,1,6,3,5,7]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,2,1,6,3,7,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,1,6,5,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,1,6,5,7,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,1,6,7,3,5]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,1,7,3,5,6]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,2,1,7,5,6,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,2,1,7,6,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,2,1,7,6,5,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,2,3,1,5,6,7]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,3,1,5,7,6]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,3,1,6,5,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,3,1,6,7,5]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,3,1,7,5,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,2,3,1,7,6,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,2,3,5,1,6,7]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,2,3,5,1,7,6]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,2,3,5,6,1,7]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,2,3,5,6,7,1]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,2,3,5,7,1,6]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,2,3,5,7,6,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,2,3,6,1,5,7]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,3,6,1,7,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,2,3,6,5,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,2,3,6,5,7,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,2,3,6,7,1,5]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,3,6,7,5,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,2,3,7,1,5,6]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,3,7,1,6,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,3,7,5,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,3,7,5,6,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,2,3,7,6,1,5]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,3,7,6,5,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,2,5,1,3,6,7]=>[1,3,6,7,2,5,4]=>[5,2,7,6,3,4,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,2,5,1,3,7,6]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,2,5,1,6,7,3]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,2,5,1,7,3,6]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,5,1,7,6,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,5,3,1,6,7]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,2,5,3,1,7,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,5,3,6,1,7]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,5,3,6,7,1]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,2,5,3,7,1,6]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,2,5,3,7,6,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,2,5,6,1,3,7]=>[1,3,7,2,5,6,4]=>[4,2,7,5,6,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[4,2,5,6,1,7,3]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,5,6,3,1,7]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,5,6,3,7,1]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,2,5,6,7,1,3]=>[1,3,2,5,6,7,4]=>[3,2,7,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,2,5,6,7,3,1]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,2,5,7,1,3,6]=>[1,3,6,2,5,7,4]=>[4,2,7,5,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,2,5,7,1,6,3]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,2,5,7,3,1,6]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,2,5,7,6,1,3]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,2,5,7,6,3,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4]=>[5,2,7,3,6,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,2,6,1,3,7,5]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,6,1,5,7,3]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,6,1,7,3,5]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[4,2,6,1,7,5,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,2,6,3,1,5,7]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,6,3,1,7,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,2,6,3,5,1,7]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[4,2,6,3,5,7,1]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,2,6,3,7,1,5]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,6,3,7,5,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,2,6,5,1,3,7]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,2,6,5,1,7,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,2,6,5,3,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,2,6,5,3,7,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,2,6,5,7,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,2,6,5,7,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,2,6,7,1,3,5]=>[1,3,5,2,6,7,4]=>[4,2,7,3,5,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,2,6,7,1,5,3]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,6,7,3,1,5]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,6,7,3,5,1]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,2,6,7,5,1,3]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,2,6,7,5,3,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,2,7,1,3,6,5]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,2,7,1,5,3,6]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,7,1,5,6,3]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,7,1,6,3,5]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,7,3,1,5,6]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,2,7,3,1,6,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,7,3,5,1,6]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,2,7,3,5,6,1]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,2,7,3,6,1,5]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,7,3,6,5,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,2,7,5,1,3,6]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,2,7,5,1,6,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,7,5,3,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,7,5,3,6,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,2,7,5,6,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,2,7,5,6,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,2,7,6,1,3,5]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,2,7,6,1,5,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,7,6,3,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,7,6,3,5,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,2,7,6,5,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,2,7,6,5,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,3,1,2,5,6,7]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,3,1,2,6,5,7]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,1,2,6,7,5]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,1,2,7,5,6]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,3,1,2,7,6,5]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,3,1,5,2,6,7]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,1,5,2,7,6]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,1,5,6,2,7]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,1,5,6,7,2]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,1,5,7,2,6]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,1,5,7,6,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,1,6,2,5,7]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,3,1,6,2,7,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,1,6,5,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,1,6,5,7,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,1,6,7,2,5]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,3,1,6,7,5,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,1,7,2,5,6]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,1,7,2,6,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,3,1,7,5,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,3,1,7,5,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,1,7,6,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,3,2,1,5,6,7]=>[1,5,6,7,2,3,4]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,3,2,5,1,6,7]=>[1,6,7,2,5,3,4]=>[4,6,7,5,2,3,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,3,2,5,1,7,6]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,2,5,6,1,7]=>[1,7,2,5,6,3,4]=>[3,6,7,4,5,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,2,5,6,7,1]=>[1,2,5,6,7,3,4]=>[2,6,7,3,4,5,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,2,5,7,1,6]=>[1,6,2,5,7,3,4]=>[3,6,7,4,2,5,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,3,2,5,7,6,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,3,2,6,1,5,7]=>[1,5,7,2,6,3,4]=>[4,6,7,2,5,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,2,6,1,7,5]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,3,2,6,5,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,3,2,6,5,7,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,2,6,7,1,5]=>[1,5,2,6,7,3,4]=>[3,6,7,2,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,2,6,7,5,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,2,7,1,5,6]=>[1,5,6,2,7,3,4]=>[4,6,7,2,3,5,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,2,7,1,6,5]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,2,7,5,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,2,7,5,6,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,3,2,7,6,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,2,7,6,5,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,3,5,1,2,6,7]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,3,5,1,2,7,6]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,3,5,1,6,2,7]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,3,5,1,6,7,2]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,3,5,1,7,2,6]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[4,3,5,1,7,6,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,3,5,2,1,6,7]=>[1,6,7,2,3,5,4]=>[4,5,7,6,2,3,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,3,5,2,1,7,6]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,3,5,2,6,1,7]=>[1,7,2,6,3,5,4]=>[3,5,7,6,4,2,1]=>[[[.,[[.,[[.,.],.]],.]],.],.]
[4,3,5,2,6,7,1]=>[1,2,6,7,3,5,4]=>[2,5,7,6,3,4,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,3,5,2,7,1,6]=>[1,6,2,7,3,5,4]=>[3,5,7,6,2,4,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,3,5,2,7,6,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,3,5,6,1,2,7]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,3,5,6,1,7,2]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,3,5,6,2,1,7]=>[1,7,2,3,5,6,4]=>[3,4,7,5,6,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,3,5,6,2,7,1]=>[1,2,7,3,5,6,4]=>[2,4,7,5,6,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,3,5,6,7,2,1]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,3,5,7,1,2,6]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,3,5,7,1,6,2]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,3,5,7,2,1,6]=>[1,6,2,3,5,7,4]=>[3,4,7,5,2,6,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,3,5,7,2,6,1]=>[1,2,6,3,5,7,4]=>[2,4,7,5,3,6,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,3,5,7,6,1,2]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,3,5,7,6,2,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,3,6,1,2,5,7]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,3,6,1,2,7,5]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,3,6,1,5,2,7]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,6,1,5,7,2]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,6,1,7,2,5]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,6,1,7,5,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,3,6,2,1,5,7]=>[1,5,7,2,3,6,4]=>[4,5,7,2,6,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,6,2,1,7,5]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,3,6,2,5,1,7]=>[1,7,2,5,3,6,4]=>[3,5,7,4,6,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,6,2,5,7,1]=>[1,2,5,7,3,6,4]=>[2,5,7,3,6,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,3,6,2,7,1,5]=>[1,5,2,7,3,6,4]=>[3,5,7,2,6,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,6,2,7,5,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,3,6,5,2,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,3,6,5,2,7,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,3,6,5,7,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,3,6,5,7,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,3,6,7,1,2,5]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,6,7,1,5,2]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,6,7,2,1,5]=>[1,5,2,3,6,7,4]=>[3,4,7,2,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,6,7,2,5,1]=>[1,2,5,3,6,7,4]=>[2,4,7,3,5,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,6,7,5,1,2]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,3,6,7,5,2,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,3,7,1,2,5,6]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,7,1,2,6,5]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,7,1,5,6,2]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,7,1,6,2,5]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,3,7,1,6,5,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,7,2,1,5,6]=>[1,5,6,2,3,7,4]=>[4,5,7,2,3,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,7,2,1,6,5]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,7,2,5,1,6]=>[1,6,2,5,3,7,4]=>[3,5,7,4,2,6,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,3,7,2,5,6,1]=>[1,2,5,6,3,7,4]=>[2,5,7,3,4,6,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,7,2,6,1,5]=>[1,5,2,6,3,7,4]=>[3,5,7,2,4,6,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,3,7,2,6,5,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,7,5,1,2,6]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,7,5,1,6,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,7,5,2,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,7,5,2,6,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,7,5,6,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,3,7,5,6,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,3,7,6,1,2,5]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,3,7,6,1,5,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,7,6,2,1,5]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,7,6,2,5,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,3,7,6,5,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,3,7,6,5,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,5,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,5,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,5,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,5,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,5,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,5,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,5,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,5,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,5,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,5,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,5,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,5,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,5,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,5,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,5,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,5,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,5,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,5,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[4,5,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,5,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,5,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,5,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,5,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,5,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,5,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,5,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,5,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[4,5,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,5,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,5,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,5,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[4,5,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[4,5,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,5,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,5,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,5,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,5,6,1,2,3,7]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,5,6,1,2,7,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,5,6,1,3,2,7]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,5,6,1,3,7,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,5,6,1,7,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,6,1,7,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,6,2,1,3,7]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,5,6,2,1,7,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,6,2,3,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,6,2,3,7,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,5,6,2,7,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[4,5,6,2,7,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,5,6,3,1,2,7]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,6,3,2,7,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[4,5,6,3,7,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,5,6,3,7,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[4,5,6,7,1,2,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,7,1,3,2]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[4,5,6,7,2,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[4,5,6,7,2,3,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,7,3,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,7,3,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,7,1,2,3,6]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,5,7,1,2,6,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,7,1,3,2,6]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,5,7,1,3,6,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,5,7,1,6,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,7,1,6,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,7,2,1,3,6]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,5,7,2,1,6,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,7,2,3,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,7,2,3,6,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,5,7,2,6,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,5,7,2,6,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,7,3,1,2,6]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,7,3,2,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,5,7,3,2,6,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,5,7,3,6,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,5,7,6,1,2,3]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[4,5,7,6,1,3,2]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,5,7,6,2,1,3]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,5,7,6,2,3,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[4,5,7,6,3,1,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[4,5,7,6,3,2,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[4,6,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,6,1,2,3,7,5]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[4,6,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,6,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,6,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,6,1,2,7,5,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[4,6,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,6,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[4,6,1,3,7,5,2]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,6,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,6,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,6,1,7,5,2,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,1,7,5,3,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,2,1,3,7,5]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,6,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,6,2,1,7,5,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,2,3,1,7,5]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,6,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,6,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,2,3,7,5,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[4,6,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,6,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,6,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,6,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,6,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,6,2,7,5,1,3]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,6,2,7,5,3,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[4,6,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,6,3,1,2,7,5]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[4,6,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,6,3,1,7,5,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,6,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,6,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,3,2,7,5,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[4,6,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,6,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,6,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[4,6,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[4,6,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,6,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,6,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,6,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,6,3,7,5,1,2]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[4,6,3,7,5,2,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[4,6,5,1,2,3,7]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[4,6,5,1,2,7,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[4,6,5,1,3,2,7]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,6,5,1,3,7,2]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,6,5,1,7,2,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,5,1,7,3,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,5,2,1,3,7]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,6,5,2,1,7,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,5,2,3,1,7]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,5,2,3,7,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[4,6,5,2,7,1,3]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[4,6,5,2,7,3,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[4,6,5,3,1,2,7]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[4,6,5,3,1,7,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,5,3,2,1,7]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[4,6,5,3,2,7,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[4,6,5,3,7,1,2]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[4,6,5,3,7,2,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[4,6,5,7,1,3,2]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[4,6,5,7,2,1,3]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[4,6,5,7,2,3,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[4,6,5,7,3,1,2]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[4,6,5,7,3,2,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[4,6,7,1,2,3,5]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,7,1,2,5,3]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,6,7,1,3,2,5]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,6,7,1,3,5,2]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,6,7,1,5,2,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,6,7,1,5,3,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,6,7,2,1,3,5]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,6,7,2,1,5,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,6,7,2,3,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,6,7,2,3,5,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,7,2,5,1,3]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,6,7,2,5,3,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,6,7,3,1,2,5]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,6,7,3,1,5,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,6,7,3,2,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,6,7,3,2,5,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,6,7,3,5,1,2]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,7,3,5,2,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,7,5,1,2,3]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[4,6,7,5,1,3,2]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[4,6,7,5,2,1,3]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[4,6,7,5,2,3,1]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[4,6,7,5,3,1,2]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[4,6,7,5,3,2,1]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[4,7,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,7,1,2,3,6,5]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,7,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,7,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,7,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,7,1,2,6,5,3]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,7,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,7,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,7,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,7,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,7,1,3,6,5,2]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,7,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,7,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,7,1,6,5,2,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,1,6,5,3,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,7,2,1,3,6,5]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,7,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,7,2,1,6,5,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,7,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,7,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,2,3,6,5,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,7,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[4,7,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,7,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,7,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,7,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,7,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,7,2,6,5,1,3]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,7,2,6,5,3,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,7,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,7,3,1,2,6,5]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,7,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,7,3,1,6,5,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,3,2,1,6,5]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[4,7,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,7,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,3,2,6,5,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,7,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,7,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[4,7,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[4,7,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,7,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,7,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,7,3,6,5,1,2]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,7,3,6,5,2,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,7,5,1,2,3,6]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,7,5,1,2,6,3]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,7,5,1,3,2,6]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,7,5,1,3,6,2]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,7,5,1,6,2,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,5,1,6,3,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,5,2,1,3,6]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,7,5,2,1,6,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,5,2,3,1,6]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,5,2,3,6,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,7,5,2,6,1,3]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[4,7,5,2,6,3,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,7,5,3,1,2,6]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,7,5,3,1,6,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,5,3,2,1,6]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,7,5,3,2,6,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,7,5,3,6,1,2]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,7,5,3,6,2,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[4,7,5,6,1,2,3]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[4,7,5,6,1,3,2]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[4,7,5,6,2,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[4,7,5,6,3,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[4,7,5,6,3,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,7,6,1,2,5,3]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,7,6,1,3,2,5]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,7,6,1,3,5,2]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,7,6,1,5,2,3]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,6,1,5,3,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,6,2,1,3,5]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,7,6,2,1,5,3]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,6,2,3,1,5]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,6,2,3,5,1]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,7,6,2,5,1,3]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,7,6,2,5,3,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,7,6,3,1,2,5]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,7,6,3,1,5,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,6,3,2,1,5]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,7,6,3,2,5,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[4,7,6,3,5,1,2]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[4,7,6,5,1,2,3]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[4,7,6,5,1,3,2]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[4,7,6,5,2,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[4,7,6,5,2,3,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[4,7,6,5,3,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[4,7,6,5,3,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,1,2,3,4,6,7]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,1,2,3,4,7,6]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,1,2,3,6,4,7]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,1,2,3,6,7,4]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,1,2,3,7,4,6]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[5,1,2,3,7,6,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,1,2,4,3,6,7]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,1,2,4,3,7,6]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,1,2,4,6,3,7]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,1,2,4,6,7,3]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,1,2,4,7,3,6]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[5,1,2,4,7,6,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,1,2,6,3,4,7]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,1,2,6,3,7,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,1,2,6,4,3,7]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,1,2,6,4,7,3]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,1,2,6,7,3,4]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,1,2,6,7,4,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,1,2,7,3,4,6]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,1,2,7,4,3,6]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,1,2,7,4,6,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,1,2,7,6,3,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,1,2,7,6,4,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,1,3,2,4,6,7]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,1,3,2,4,7,6]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,1,3,2,6,4,7]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,1,3,2,6,7,4]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,1,3,2,7,4,6]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,1,3,2,7,6,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,1,3,4,2,6,7]=>[1,3,4,2,6,7,5]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,1,3,4,2,7,6]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,1,3,4,6,2,7]=>[1,3,4,6,2,7,5]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,1,3,4,6,7,2]=>[1,3,4,6,7,2,5]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,1,3,4,7,2,6]=>[1,3,4,7,2,6,5]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[5,1,3,4,7,6,2]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,1,3,6,2,4,7]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,1,3,6,2,7,4]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,1,3,6,4,2,7]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,1,3,6,4,7,2]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,1,3,6,7,2,4]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,1,3,6,7,4,2]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,1,3,7,2,4,6]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,1,3,7,2,6,4]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[5,1,3,7,4,2,6]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[5,1,3,7,4,6,2]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,1,3,7,6,4,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,1,4,2,3,6,7]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,1,4,2,6,3,7]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,2,6,7,3]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,2,7,3,6]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,1,4,2,7,6,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,1,4,3,2,6,7]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,3,2,7,6]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,1,4,3,6,2,7]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,1,4,3,6,7,2]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,3,7,2,6]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,3,7,6,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,1,4,6,2,3,7]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,6,2,7,3]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,6,3,2,7]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,6,3,7,2]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,6,7,2,3]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,6,7,3,2]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,1,4,7,2,3,6]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,1,4,7,2,6,3]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,1,4,7,3,2,6]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,1,4,7,3,6,2]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,1,4,7,6,2,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,1,4,7,6,3,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,1,6,2,3,4,7]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,2,3,7,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,2,4,3,7]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,1,6,2,4,7,3]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,1,6,2,7,3,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,2,7,4,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,3,2,4,7]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,1,6,3,2,7,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,3,4,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,3,4,7,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,3,7,2,4]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,1,6,3,7,4,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,4,2,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,4,2,7,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,4,3,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,4,3,7,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,4,7,2,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,4,7,3,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,7,2,3,4]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,7,2,4,3]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,1,6,7,3,2,4]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,1,6,7,3,4,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,6,7,4,3,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,1,7,2,3,4,6]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,1,7,2,3,6,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,1,7,2,4,3,6]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,1,7,2,4,6,3]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,1,7,2,6,3,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,1,7,2,6,4,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,1,7,3,2,4,6]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,1,7,3,2,6,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,1,7,3,4,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,1,7,3,4,6,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,1,7,3,6,2,4]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,1,7,3,6,4,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,1,7,4,2,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,1,7,4,2,6,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,1,7,4,3,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,1,7,4,3,6,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,1,7,4,6,2,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,1,7,4,6,3,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,1,7,6,2,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,1,7,6,2,4,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,7,6,3,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,7,6,3,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,1,7,6,4,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,1,7,6,4,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,1,3,4,6,7]=>[1,3,4,6,7,2,5]=>[6,2,3,7,4,5,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,2,1,3,4,7,6]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,2,1,3,6,4,7]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,2,1,3,6,7,4]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,2,1,3,7,4,6]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,2,1,3,7,6,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,2,1,4,3,6,7]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,1,4,6,3,7]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,1,4,6,7,3]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,1,4,7,3,6]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,1,4,7,6,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,1,6,3,4,7]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,1,6,3,7,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,1,6,4,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,1,6,4,7,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,1,6,7,3,4]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,1,6,7,4,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,2,1,7,3,6,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,2,1,7,4,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,2,1,7,4,6,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,2,1,7,6,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,1,7,6,4,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,3,1,4,6,7]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,3,1,4,7,6]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,3,1,6,4,7]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,3,1,6,7,4]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,3,1,7,4,6]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,2,3,1,7,6,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,3,4,1,6,7]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,3,4,1,7,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,3,4,6,1,7]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,2,3,4,6,7,1]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,2,3,4,7,1,6]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,3,4,7,6,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,2,3,6,1,4,7]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,3,6,1,7,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,2,3,6,4,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,2,3,6,4,7,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,2,3,6,7,1,4]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,3,6,7,4,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,2,3,7,1,4,6]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,3,7,1,6,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,3,7,4,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,3,7,4,6,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[5,2,3,7,6,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,3,7,6,4,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,2,4,1,3,6,7]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,2,4,1,3,7,6]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,2,4,1,6,3,7]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,2,4,1,6,7,3]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,2,4,1,7,3,6]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,2,4,1,7,6,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,2,4,3,1,6,7]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,2,4,3,1,7,6]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,2,4,3,6,1,7]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,2,4,3,6,7,1]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,2,4,3,7,1,6]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,2,4,3,7,6,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,2,4,6,1,3,7]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,2,4,6,3,1,7]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,2,4,6,3,7,1]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,2,4,6,7,1,3]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,2,4,6,7,3,1]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,2,4,7,1,3,6]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,2,4,7,1,6,3]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,2,4,7,3,1,6]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,2,4,7,3,6,1]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[5,2,4,7,6,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,2,4,7,6,3,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,2,6,1,3,4,7]=>[1,3,4,7,2,6,5]=>[5,2,3,7,6,4,1]=>[[[.,.],[.,[[[.,.],.],.]]],.]
[5,2,6,1,3,7,4]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[5,2,6,1,4,3,7]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,6,1,4,7,3]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,6,1,7,3,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,2,6,1,7,4,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,2,6,3,1,4,7]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,6,3,1,7,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,2,6,3,4,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,2,6,3,4,7,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,6,3,7,4,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,6,4,1,3,7]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[5,2,6,4,1,7,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,2,6,4,3,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,2,6,4,3,7,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,6,4,7,1,3]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,6,7,1,3,4]=>[1,3,4,2,6,7,5]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,2,6,7,1,4,3]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,6,7,3,1,4]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,6,7,3,4,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,6,7,4,1,3]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,2,6,7,4,3,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,7,1,3,4,6]=>[1,3,4,6,2,7,5]=>[5,2,3,7,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,2,7,1,3,6,4]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,2,7,1,4,3,6]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,7,1,4,6,3]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,7,1,6,3,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,7,1,6,4,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,7,3,1,4,6]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,7,3,4,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,7,3,4,6,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,2,7,3,6,1,4]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,2,7,3,6,4,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,2,7,4,3,6,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,2,7,4,6,1,3]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,2,7,4,6,3,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,2,7,6,1,3,4]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,2,7,6,1,4,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,7,6,3,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,2,7,6,3,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,2,7,6,4,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,2,7,6,4,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,3,1,2,4,6,7]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,3,1,2,4,7,6]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,3,1,2,6,4,7]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,1,2,6,7,4]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,1,2,7,4,6]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,3,1,2,7,6,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,3,1,4,2,6,7]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,1,4,2,7,6]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,3,1,4,6,2,7]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,1,4,6,7,2]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,1,4,7,2,6]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,3,1,4,7,6,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,3,1,6,2,4,7]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,3,1,6,2,7,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,1,6,4,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,1,6,4,7,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,1,6,7,2,4]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,3,1,6,7,4,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,3,1,7,4,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,3,1,7,4,6,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,3,1,7,6,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,3,1,7,6,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,2,1,4,6,7]=>[1,4,6,7,2,3,5]=>[5,6,2,7,3,4,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,2,1,4,7,6]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,3,2,1,6,4,7]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,2,1,6,7,4]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,2,1,7,4,6]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,2,4,1,6,7]=>[1,6,7,2,4,3,5]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,3,2,4,1,7,6]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,3,2,4,6,1,7]=>[1,7,2,4,6,3,5]=>[3,6,4,7,5,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,3,2,4,6,7,1]=>[1,2,4,6,7,3,5]=>[2,6,3,7,4,5,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,3,2,4,7,1,6]=>[1,6,2,4,7,3,5]=>[3,6,4,7,2,5,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,3,2,4,7,6,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,3,2,6,1,4,7]=>[1,4,7,2,6,3,5]=>[4,6,2,7,5,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,3,2,6,4,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,3,2,6,4,7,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,2,6,7,1,4]=>[1,4,2,6,7,3,5]=>[3,6,2,7,4,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,2,6,7,4,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,2,7,1,4,6]=>[1,4,6,2,7,3,5]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,2,7,4,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,2,7,4,6,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,3,2,7,6,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,3,2,7,6,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,3,4,1,2,6,7]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,4,1,2,7,6]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,3,4,1,6,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,4,1,6,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,4,1,7,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,3,4,1,7,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,4,2,1,6,7]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,4,2,1,7,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,4,2,6,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,3,4,2,6,7,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,4,2,7,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,4,2,7,6,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,3,4,6,1,2,7]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,3,4,6,1,7,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,3,4,6,2,1,7]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,3,4,6,2,7,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,3,4,6,7,1,2]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,3,4,6,7,2,1]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,3,4,7,1,2,6]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,4,7,1,6,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,4,7,2,1,6]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,4,7,2,6,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,4,7,6,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,3,4,7,6,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,3,6,1,2,4,7]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[5,3,6,1,2,7,4]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,3,6,1,4,2,7]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,3,6,1,4,7,2]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,3,6,1,7,4,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,3,6,2,1,4,7]=>[1,4,7,2,3,6,5]=>[4,5,2,7,6,3,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,3,6,2,1,7,4]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5]=>[3,5,4,7,6,2,1]=>[[[.,[[.,.],[[.,.],.]]],.],.]
[5,3,6,2,4,7,1]=>[1,2,4,7,3,6,5]=>[2,5,3,7,6,4,1]=>[[.,[[.,.],[[[.,.],.],.]]],.]
[5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5]=>[3,5,2,7,6,4,1]=>[[[.,[.,.]],[[[.,.],.],.]],.]
[5,3,6,2,7,4,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,3,6,4,1,7,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,3,6,4,2,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,3,6,4,2,7,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,3,6,4,7,1,2]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,3,6,4,7,2,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,3,6,7,1,2,4]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,3,6,7,1,4,2]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,6,7,2,1,4]=>[1,4,2,3,6,7,5]=>[3,4,2,7,5,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,6,7,2,4,1]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,3,6,7,4,1,2]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,3,6,7,4,2,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,3,7,1,2,4,6]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,7,1,4,6,2]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,3,7,1,6,4,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,7,2,1,4,6]=>[1,4,6,2,3,7,5]=>[4,5,2,7,3,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,7,2,1,6,4]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,7,2,4,1,6]=>[1,6,2,4,3,7,5]=>[3,5,4,7,2,6,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,3,7,2,4,6,1]=>[1,2,4,6,3,7,5]=>[2,5,3,7,4,6,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5]=>[3,5,2,7,4,6,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,7,4,1,2,6]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,7,4,1,6,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,7,4,2,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,3,7,4,2,6,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,7,4,6,1,2]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[5,3,7,4,6,2,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,3,7,6,1,4,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,3,7,6,2,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,3,7,6,2,4,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,3,7,6,4,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,4,1,2,3,6,7]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,4,1,2,3,7,6]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,1,2,6,7,3]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,4,1,3,2,6,7]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,4,1,3,2,7,6]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,4,1,3,6,2,7]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,4,1,3,6,7,2]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,4,1,3,7,2,6]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,4,1,6,2,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,1,6,2,7,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,1,6,3,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,1,6,3,7,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,1,6,7,3,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,4,1,7,3,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,4,1,7,3,6,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,4,1,7,6,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,1,7,6,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,2,1,3,6,7]=>[1,3,6,7,2,4,5]=>[5,2,6,7,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,4,2,1,3,7,6]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,4,2,1,6,3,7]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,2,1,6,7,3]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,2,3,1,6,7]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,2,3,1,7,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,2,3,6,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,4,2,3,6,7,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,4,2,3,7,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,4,2,6,1,3,7]=>[1,3,7,2,6,4,5]=>[4,2,6,7,5,3,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]
[5,4,2,6,1,7,3]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,4,2,6,3,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,4,2,6,3,7,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,2,6,7,1,3]=>[1,3,2,6,7,4,5]=>[3,2,6,7,4,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,4,2,6,7,3,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,2,7,1,3,6]=>[1,3,6,2,7,4,5]=>[4,2,6,7,3,5,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,4,2,7,1,6,3]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,2,7,3,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,2,7,3,6,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,4,2,7,6,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,4,3,1,2,6,7]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,3,1,2,7,6]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,4,3,1,6,2,7]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,3,1,6,7,2]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,3,2,1,6,7]=>[1,6,7,2,3,4,5]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,3,2,1,7,6]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,3,2,6,1,7]=>[1,7,2,6,3,4,5]=>[3,5,6,7,4,2,1]=>[[[.,[[.,[.,[.,.]]],.]],.],.]
[5,4,3,2,6,7,1]=>[1,2,6,7,3,4,5]=>[2,5,6,7,3,4,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5]=>[3,5,6,7,2,4,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,4,3,6,1,2,7]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,4,3,6,1,7,2]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,4,3,6,2,1,7]=>[1,7,2,3,6,4,5]=>[3,4,6,7,5,2,1]=>[[[.,[.,[[.,[.,.]],.]]],.],.]
[5,4,3,6,2,7,1]=>[1,2,7,3,6,4,5]=>[2,4,6,7,5,3,1]=>[[.,[[.,[[.,[.,.]],.]],.]],.]
[5,4,3,6,7,1,2]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,4,3,6,7,2,1]=>[1,2,3,6,7,4,5]=>[2,3,6,7,4,5,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,4,3,7,1,2,6]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,3,7,1,6,2]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,3,7,2,1,6]=>[1,6,2,3,7,4,5]=>[3,4,6,7,2,5,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,3,7,2,6,1]=>[1,2,6,3,7,4,5]=>[2,4,6,7,3,5,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,3,7,6,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,4,3,7,6,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,4,6,1,2,3,7]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[5,4,6,1,2,7,3]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,4,6,1,3,2,7]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,4,6,1,3,7,2]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,4,6,1,7,2,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,4,6,1,7,3,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,4,6,2,1,3,7]=>[1,3,7,2,4,6,5]=>[4,2,5,7,6,3,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,4,6,2,1,7,3]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,4,6,2,3,1,7]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,4,6,2,3,7,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[5,4,6,2,7,1,3]=>[1,3,2,7,4,6,5]=>[3,2,5,7,6,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]
[5,4,6,2,7,3,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,4,6,3,1,2,7]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,4,6,3,1,7,2]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,4,6,3,2,1,7]=>[1,7,2,3,4,6,5]=>[3,4,5,7,6,2,1]=>[[[.,[.,[.,[[.,.],.]]]],.],.]
[5,4,6,3,2,7,1]=>[1,2,7,3,4,6,5]=>[2,4,5,7,6,3,1]=>[[.,[[.,[.,[[.,.],.]]],.]],.]
[5,4,6,3,7,1,2]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[5,4,6,3,7,2,1]=>[1,2,3,7,4,6,5]=>[2,3,5,7,6,4,1]=>[[.,[.,[[.,[[.,.],.]],.]]],.]
[5,4,6,7,1,2,3]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,4,6,7,1,3,2]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,4,6,7,2,1,3]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,4,6,7,2,3,1]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,4,6,7,3,1,2]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,4,6,7,3,2,1]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,4,7,1,2,6,3]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,7,1,3,2,6]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,4,7,1,3,6,2]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,7,1,6,3,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,7,2,1,3,6]=>[1,3,6,2,4,7,5]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,4,7,2,1,6,3]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,7,2,3,1,6]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,7,2,3,6,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5]=>[3,2,5,7,4,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,4,7,2,6,3,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,7,3,1,2,6]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,7,3,1,6,2]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,7,3,2,1,6]=>[1,6,2,3,4,7,5]=>[3,4,5,7,2,6,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,4,7,3,2,6,1]=>[1,2,6,3,4,7,5]=>[2,4,5,7,3,6,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,4,7,3,6,2,1]=>[1,2,3,6,4,7,5]=>[2,3,5,7,4,6,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,4,7,6,1,2,3]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,4,7,6,1,3,2]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,4,7,6,2,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,4,7,6,2,3,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,4,7,6,3,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,6,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,6,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,6,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,6,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,6,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,6,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,6,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,6,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,6,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,6,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,6,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,6,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,6,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,6,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,6,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,6,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,6,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,6,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,6,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,6,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,6,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,6,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,6,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,6,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,6,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[5,6,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[5,6,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,6,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,6,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,6,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,6,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,6,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,6,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[5,6,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,6,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[5,6,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,6,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[5,6,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,6,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,6,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[5,6,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,6,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,6,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,7,1,2,4,3]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[5,6,7,1,3,4,2]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[5,6,7,1,4,2,3]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,6,7,1,4,3,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,6,7,2,1,3,4]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[5,6,7,2,1,4,3]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,6,7,2,3,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,7,2,4,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[5,6,7,2,4,3,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,6,7,3,1,2,4]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,6,7,3,1,4,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,6,7,3,2,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[5,6,7,3,2,4,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,6,7,3,4,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,7,3,4,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,7,4,1,3,2]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[5,6,7,4,2,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[5,6,7,4,2,3,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,7,4,3,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,7,4,3,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,7,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,7,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,7,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,7,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,7,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,7,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,7,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,7,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,7,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[5,7,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,7,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,7,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,7,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,7,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,7,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,7,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,7,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,7,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,7,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[5,7,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,7,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,7,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,7,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[5,7,6,1,2,4,3]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[5,7,6,1,3,2,4]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,7,6,1,3,4,2]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,7,6,1,4,2,3]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,7,6,1,4,3,2]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,7,6,2,1,3,4]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,7,6,2,1,4,3]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,7,6,2,3,1,4]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,7,6,2,3,4,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[5,7,6,2,4,1,3]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,7,6,2,4,3,1]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[5,7,6,3,1,2,4]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[5,7,6,3,1,4,2]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,7,6,3,2,1,4]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[5,7,6,3,2,4,1]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[5,7,6,3,4,1,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[5,7,6,3,4,2,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[5,7,6,4,1,2,3]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[5,7,6,4,1,3,2]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[5,7,6,4,2,3,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[5,7,6,4,3,1,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[5,7,6,4,3,2,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,1,2,3,4,5,7]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,1,2,3,4,7,5]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,1,2,3,5,4,7]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,1,2,3,5,7,4]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,1,2,3,7,5,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,1,2,4,3,5,7]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,1,2,4,3,7,5]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,1,2,4,5,3,7]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,1,2,4,5,7,3]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,1,2,4,7,3,5]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,1,2,4,7,5,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,1,2,5,3,4,7]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,1,2,5,4,3,7]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,1,2,5,4,7,3]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,1,2,5,7,3,4]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,1,2,5,7,4,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,1,2,7,3,4,5]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,1,2,7,3,5,4]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,1,2,7,4,3,5]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,1,2,7,4,5,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,1,2,7,5,3,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,1,2,7,5,4,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,1,3,2,4,5,7]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,1,3,2,4,7,5]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,1,3,2,5,4,7]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,1,3,2,5,7,4]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,1,3,2,7,4,5]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,1,3,2,7,5,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,1,3,4,2,5,7]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,1,3,4,2,7,5]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,1,3,4,5,2,7]=>[1,3,4,5,2,7,6]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,1,3,4,5,7,2]=>[1,3,4,5,7,2,6]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,1,3,4,7,2,5]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,1,3,4,7,5,2]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,1,3,5,2,4,7]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,1,3,5,2,7,4]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,1,3,5,4,2,7]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,1,3,5,4,7,2]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,1,3,5,7,2,4]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,1,3,5,7,4,2]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,1,3,7,2,5,4]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,1,3,7,4,2,5]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,1,3,7,4,5,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,1,3,7,5,2,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,1,3,7,5,4,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,1,4,2,3,5,7]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,2,3,7,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,4,2,5,3,7]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,2,5,7,3]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,4,2,7,5,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,3,2,7,5]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,4,3,5,2,7]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,4,3,5,7,2]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,3,7,2,5]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,3,7,5,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,4,5,2,3,7]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,5,2,7,3]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,5,3,2,7]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,5,3,7,2]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,5,7,2,3]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,5,7,3,2]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,1,4,7,2,3,5]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,4,7,2,5,3]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,4,7,3,2,5]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,4,7,3,5,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,4,7,5,2,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,4,7,5,3,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,1,5,2,3,4,7]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,2,3,7,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,2,4,3,7]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,1,5,2,4,7,3]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,1,5,2,7,3,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,2,7,4,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,3,2,4,7]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,1,5,3,2,7,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,3,4,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,3,4,7,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,3,7,2,4]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,1,5,3,7,4,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,4,2,3,7]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,4,2,7,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,4,3,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,4,3,7,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,4,7,2,3]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,4,7,3,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,7,2,3,4]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,7,2,4,3]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,1,5,7,3,2,4]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,1,5,7,3,4,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,7,4,2,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,5,7,4,3,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,1,7,2,4,3,5]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,1,7,2,4,5,3]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,1,7,2,5,3,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,1,7,2,5,4,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,1,7,3,2,4,5]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,1,7,3,2,5,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,1,7,3,4,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,1,7,3,4,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,1,7,3,5,4,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,1,7,4,2,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,1,7,4,3,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,1,7,4,3,5,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,1,7,4,5,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,1,7,4,5,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,1,7,5,2,4,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,1,7,5,3,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,1,7,5,3,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,1,7,5,4,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,1,7,5,4,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,2,1,3,4,5,7]=>[1,3,4,5,7,2,6]=>[6,2,3,4,7,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,2,1,3,4,7,5]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,2,1,3,5,4,7]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,2,1,3,5,7,4]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,2,1,3,7,4,5]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,2,1,3,7,5,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,1,4,3,7,5]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,1,4,5,3,7]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,1,4,5,7,3]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,1,4,7,3,5]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,1,4,7,5,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,1,5,3,4,7]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,1,5,3,7,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,1,5,4,3,7]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,1,5,4,7,3]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,1,5,7,3,4]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,1,5,7,4,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,2,1,7,3,5,4]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,2,1,7,4,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,2,1,7,4,5,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,2,1,7,5,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,2,1,7,5,4,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,2,3,1,4,5,7]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,3,1,4,7,5]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,3,1,5,4,7]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,3,1,5,7,4]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,3,1,7,4,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,2,3,1,7,5,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,2,3,4,1,5,7]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,3,4,1,7,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,2,3,4,5,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,2,3,4,5,7,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,2,3,4,7,1,5]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,3,4,7,5,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,2,3,5,1,4,7]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,3,5,1,7,4]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,2,3,5,4,1,7]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,2,3,5,4,7,1]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,2,3,5,7,1,4]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,3,5,7,4,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,2,3,7,1,4,5]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,3,7,1,5,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,3,7,4,1,5]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,3,7,4,5,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,2,3,7,5,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,3,7,5,4,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,2,4,1,3,7,5]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,2,4,1,5,3,7]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,2,4,1,5,7,3]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,2,4,1,7,3,5]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,2,4,1,7,5,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,2,4,3,1,5,7]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,2,4,3,5,1,7]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,2,4,3,5,7,1]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,2,4,3,7,1,5]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,2,4,3,7,5,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,2,4,5,1,3,7]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,2,4,5,1,7,3]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,2,4,5,3,1,7]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,2,4,5,3,7,1]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,2,4,5,7,1,3]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,2,4,5,7,3,1]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,2,4,7,1,3,5]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,2,4,7,1,5,3]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,2,4,7,3,1,5]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,2,4,7,3,5,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,2,4,7,5,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,2,4,7,5,3,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,2,5,1,3,4,7]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,2,5,1,3,7,4]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,2,5,1,4,3,7]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,5,1,4,7,3]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,5,1,7,3,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,2,5,3,1,4,7]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,5,3,1,7,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,2,5,3,4,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,2,5,3,4,7,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,2,5,3,7,1,4]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,5,3,7,4,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,2,5,4,1,3,7]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,2,5,4,1,7,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,2,5,4,3,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,2,5,4,3,7,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,2,5,4,7,1,3]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,2,5,4,7,3,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,2,5,7,1,3,4]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,2,5,7,1,4,3]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,5,7,3,1,4]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,5,7,3,4,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,2,5,7,4,1,3]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,2,5,7,4,3,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,2,7,1,3,4,5]=>[1,3,4,5,2,7,6]=>[5,2,3,4,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,2,7,1,3,5,4]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,2,7,1,4,3,5]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,7,1,4,5,3]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,7,1,5,3,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,7,1,5,4,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,7,3,1,4,5]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,2,7,3,1,5,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,7,3,4,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,7,3,4,5,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,2,7,3,5,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,7,3,5,4,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,2,7,4,1,3,5]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,2,7,4,1,5,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,7,4,3,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,2,7,4,3,5,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,2,7,4,5,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,2,7,4,5,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,2,7,5,1,3,4]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,2,7,5,1,4,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,7,5,3,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,2,7,5,3,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,2,7,5,4,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,2,7,5,4,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,3,1,2,4,5,7]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,3,1,2,4,7,5]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,3,1,2,5,4,7]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,1,2,7,4,5]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,3,1,2,7,5,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,3,1,4,2,5,7]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,1,4,5,2,7]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,1,4,5,7,2]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,1,4,7,2,5]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,1,4,7,5,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,1,5,2,4,7]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,3,1,5,2,7,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,1,5,4,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,1,5,4,7,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,1,5,7,2,4]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,3,1,5,7,4,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,1,7,2,4,5]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,3,1,7,2,5,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,3,1,7,4,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,3,1,7,4,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,3,1,7,5,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,3,1,7,5,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,3,2,1,4,5,7]=>[1,4,5,7,2,3,6]=>[5,6,2,3,7,4,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,2,1,4,7,5]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,2,1,5,4,7]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,2,1,5,7,4]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,2,1,7,4,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,3,2,1,7,5,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,3,2,4,1,5,7]=>[1,5,7,2,4,3,6]=>[4,6,5,2,7,3,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,3,2,4,5,1,7]=>[1,7,2,4,5,3,6]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,3,2,4,5,7,1]=>[1,2,4,5,7,3,6]=>[2,6,3,4,7,5,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,3,2,4,7,1,5]=>[1,5,2,4,7,3,6]=>[3,6,4,2,7,5,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,3,2,4,7,5,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,3,2,5,1,4,7]=>[1,4,7,2,5,3,6]=>[4,6,2,5,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,2,5,1,7,4]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,3,2,5,4,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,3,2,5,4,7,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,2,5,7,1,4]=>[1,4,2,5,7,3,6]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,2,5,7,4,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,2,7,1,4,5]=>[1,4,5,2,7,3,6]=>[4,6,2,3,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,2,7,1,5,4]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,2,7,4,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,2,7,4,5,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,3,2,7,5,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,2,7,5,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,3,4,1,2,5,7]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,4,1,2,7,5]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,3,4,1,5,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,4,1,5,7,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,4,1,7,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,3,4,1,7,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,4,2,1,7,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,3,4,2,5,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,3,4,2,5,7,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,4,2,7,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,4,2,7,5,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,3,4,5,1,2,7]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,3,4,5,1,7,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,3,4,5,2,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,3,4,5,2,7,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,3,4,5,7,1,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,3,4,5,7,2,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,3,4,7,1,2,5]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,4,7,1,5,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,4,7,2,1,5]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,4,7,2,5,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,4,7,5,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,3,4,7,5,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,3,5,1,2,4,7]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,5,1,4,7,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,5,1,7,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,3,5,2,1,4,7]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,5,2,1,7,4]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,3,5,2,4,7,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,3,5,2,7,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,5,2,7,4,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,3,5,4,1,2,7]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,3,5,4,1,7,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,3,5,4,2,1,7]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,3,5,4,2,7,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,3,5,4,7,1,2]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,3,5,4,7,2,1]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,3,5,7,1,2,4]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,3,5,7,1,4,2]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,5,7,2,1,4]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,5,7,2,4,1]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,3,5,7,4,1,2]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,3,5,7,4,2,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,3,7,1,2,4,5]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,3,7,1,2,5,4]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,7,1,4,2,5]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,7,1,4,5,2]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,7,1,5,2,4]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,3,7,1,5,4,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,7,2,1,4,5]=>[1,4,5,2,3,7,6]=>[4,5,2,3,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,7,2,1,5,4]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,7,2,4,1,5]=>[1,5,2,4,3,7,6]=>[3,5,4,2,7,6,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[6,3,7,2,4,5,1]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,3,7,2,5,1,4]=>[1,4,2,5,3,7,6]=>[3,5,2,4,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,3,7,2,5,4,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,7,4,1,2,5]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,7,4,1,5,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,7,4,2,1,5]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,3,7,4,2,5,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,3,7,4,5,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,3,7,4,5,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,3,7,5,1,2,4]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,3,7,5,1,4,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,7,5,2,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,3,7,5,2,4,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,3,7,5,4,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,3,7,5,4,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,4,1,2,3,5,7]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,4,1,2,3,7,5]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,4,1,2,5,3,7]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,1,2,5,7,3]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,1,2,7,3,5]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,4,1,2,7,5,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,4,1,3,2,5,7]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,1,3,2,7,5]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,4,1,3,5,2,7]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,1,3,5,7,2]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,1,3,7,2,5]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,4,1,3,7,5,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,4,1,5,2,3,7]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,1,5,2,7,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,1,5,3,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,1,5,3,7,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,1,5,7,2,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,1,5,7,3,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,4,1,7,2,5,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,4,1,7,3,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,4,1,7,3,5,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,4,1,7,5,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,1,7,5,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6]=>[5,2,6,3,7,4,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,2,1,3,7,5]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,4,2,1,5,3,7]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,2,1,5,7,3]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,2,1,7,3,5]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,4,2,1,7,5,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,2,3,1,5,7]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,2,3,1,7,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,2,3,5,1,7]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,4,2,3,5,7,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,4,2,3,7,1,5]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,2,3,7,5,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,4,2,5,1,3,7]=>[1,3,7,2,5,4,6]=>[4,2,6,5,7,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]
[6,4,2,5,1,7,3]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,4,2,5,3,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,4,2,5,3,7,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,2,5,7,1,3]=>[1,3,2,5,7,4,6]=>[3,2,6,4,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,2,5,7,3,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,2,7,1,3,5]=>[1,3,5,2,7,4,6]=>[4,2,6,3,7,5,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,2,7,1,5,3]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,2,7,3,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,2,7,3,5,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,4,2,7,5,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,4,2,7,5,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,4,3,1,2,5,7]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,3,1,2,7,5]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,4,3,1,5,2,7]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,3,1,5,7,2]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,3,1,7,2,5]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,4,3,1,7,5,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6]=>[4,5,6,2,7,3,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,3,2,5,1,7]=>[1,7,2,5,3,4,6]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[6,4,3,2,5,7,1]=>[1,2,5,7,3,4,6]=>[2,5,6,3,7,4,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,3,2,7,1,5]=>[1,5,2,7,3,4,6]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,3,2,7,5,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,4,3,5,1,2,7]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,4,3,5,1,7,2]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,4,3,5,2,1,7]=>[1,7,2,3,5,4,6]=>[3,4,6,5,7,2,1]=>[[[.,[.,[[.,.],[.,.]]]],.],.]
[6,4,3,5,2,7,1]=>[1,2,7,3,5,4,6]=>[2,4,6,5,7,3,1]=>[[.,[[.,[[.,.],[.,.]]],.]],.]
[6,4,3,5,7,1,2]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,4,3,5,7,2,1]=>[1,2,3,5,7,4,6]=>[2,3,6,4,7,5,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,4,3,7,1,2,5]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,3,7,1,5,2]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,3,7,2,1,5]=>[1,5,2,3,7,4,6]=>[3,4,6,2,7,5,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6]=>[2,4,6,3,7,5,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,4,3,7,5,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,4,5,1,2,7,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,4,5,1,3,2,7]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,4,5,1,3,7,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,5,1,7,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,5,2,1,3,7]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,4,5,2,1,7,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,5,2,3,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,5,2,3,7,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,4,5,2,7,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,4,5,2,7,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,4,5,3,1,2,7]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,4,5,3,1,7,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,5,3,2,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,4,5,3,2,7,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,4,5,3,7,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,4,5,3,7,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,4,5,7,1,2,3]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,4,5,7,1,3,2]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,4,5,7,2,1,3]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,4,5,7,2,3,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,4,5,7,3,1,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,4,5,7,3,2,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,4,7,1,2,3,5]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,4,7,1,2,5,3]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,7,1,3,2,5]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,7,1,3,5,2]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,7,1,5,2,3]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,7,1,5,3,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,7,2,1,3,5]=>[1,3,5,2,4,7,6]=>[4,2,5,3,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,7,2,1,5,3]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,7,2,3,1,5]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,7,2,3,5,1]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[6,4,7,2,5,3,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,7,3,1,2,5]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,7,3,2,1,5]=>[1,5,2,3,4,7,6]=>[3,4,5,2,7,6,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[6,4,7,3,2,5,1]=>[1,2,5,3,4,7,6]=>[2,4,5,3,7,6,1]=>[[.,[[.,[.,.]],[[.,.],.]]],.]
[6,4,7,3,5,1,2]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,4,7,3,5,2,1]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[[.,[.,[[.,.],[[.,.],.]]]],.]
[6,4,7,5,1,2,3]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,4,7,5,1,3,2]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,4,7,5,2,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,4,7,5,2,3,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,4,7,5,3,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,5,1,2,3,7,4]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,5,1,2,4,3,7]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,5,1,2,4,7,3]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,5,1,2,7,3,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,1,2,7,4,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,1,3,2,4,7]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,1,3,2,7,4]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,5,1,3,4,2,7]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,1,3,4,7,2]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,1,3,7,2,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,5,1,3,7,4,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,5,1,4,2,3,7]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,1,4,2,7,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,1,4,3,2,7]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,1,4,3,7,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,1,4,7,2,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,1,4,7,3,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,1,7,2,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,1,7,2,4,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,5,1,7,3,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,5,1,7,3,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,1,7,4,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,1,7,4,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,2,1,3,4,7]=>[1,3,4,7,2,5,6]=>[5,2,3,6,7,4,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,2,1,3,7,4]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,5,2,1,4,3,7]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,2,1,4,7,3]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,2,1,7,3,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,2,1,7,4,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,2,3,1,7,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,2,3,4,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,2,3,4,7,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,2,3,7,4,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,5,2,4,1,3,7]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,5,2,4,1,7,3]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,5,2,4,3,1,7]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,5,2,4,3,7,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,5,2,4,7,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,2,4,7,3,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,5,2,7,1,3,4]=>[1,3,4,2,7,5,6]=>[4,2,3,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,2,7,1,4,3]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,2,7,3,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,2,7,3,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,2,7,4,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,5,2,7,4,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,3,1,2,4,7]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,5,3,1,2,7,4]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,3,1,4,2,7]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,3,1,4,7,2]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,3,1,7,2,4]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,5,3,1,7,4,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,3,2,1,4,7]=>[1,4,7,2,3,5,6]=>[4,5,2,6,7,3,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,3,2,1,7,4]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,3,2,4,1,7]=>[1,7,2,4,3,5,6]=>[3,5,4,6,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[6,5,3,2,4,7,1]=>[1,2,4,7,3,5,6]=>[2,5,3,6,7,4,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,5,3,2,7,1,4]=>[1,4,2,7,3,5,6]=>[3,5,2,6,7,4,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,3,2,7,4,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,3,4,1,2,7]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,3,4,1,7,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,3,4,2,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,3,4,2,7,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,3,4,7,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,5,3,4,7,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,5,3,7,1,4,2]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,3,7,2,1,4]=>[1,4,2,3,7,5,6]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[6,5,3,7,2,4,1]=>[1,2,4,3,7,5,6]=>[2,4,3,6,7,5,1]=>[[.,[[.,.],[[.,[.,.]],.]]],.]
[6,5,3,7,4,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,5,3,7,4,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,5,4,1,2,3,7]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,5,4,1,2,7,3]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,4,1,3,2,7]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,5,4,1,3,7,2]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,5,4,1,7,2,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,4,1,7,3,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6]=>[4,2,5,6,7,3,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,5,4,2,1,7,3]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,4,2,3,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,4,2,3,7,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,5,4,2,7,1,3]=>[1,3,2,7,4,5,6]=>[3,2,5,6,7,4,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]
[6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[6,5,4,3,2,7,1]=>[1,2,7,3,4,5,6]=>[2,4,5,6,7,3,1]=>[[.,[[.,[.,[.,[.,.]]]],.]],.]
[6,5,4,3,7,1,2]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,5,4,3,7,2,1]=>[1,2,3,7,4,5,6]=>[2,3,5,6,7,4,1]=>[[.,[.,[[.,[.,[.,.]]],.]]],.]
[6,5,4,7,1,2,3]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,5,4,7,1,3,2]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,4,7,2,1,3]=>[1,3,2,4,7,5,6]=>[3,2,4,6,7,5,1]=>[[[.,.],[.,[[.,[.,.]],.]]],.]
[6,5,4,7,2,3,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,5,4,7,3,1,2]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,5,4,7,3,2,1]=>[1,2,3,4,7,5,6]=>[2,3,4,6,7,5,1]=>[[.,[.,[.,[[.,[.,.]],.]]]],.]
[6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,5,7,1,2,4,3]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,5,7,1,3,2,4]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,5,7,1,3,4,2]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,5,7,1,4,2,3]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,5,7,1,4,3,2]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,5,7,2,1,3,4]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,5,7,2,1,4,3]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,5,7,2,3,1,4]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,5,7,2,3,4,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,5,7,2,4,1,3]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,5,7,2,4,3,1]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,5,7,3,1,2,4]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,5,7,3,1,4,2]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,5,7,3,2,1,4]=>[1,4,2,3,5,7,6]=>[3,4,2,5,7,6,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[6,5,7,3,2,4,1]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[[.,[[.,.],[.,[[.,.],.]]]],.]
[6,5,7,3,4,1,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,5,7,3,4,2,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,5,7,4,1,2,3]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,5,7,4,2,1,3]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[6,5,7,4,2,3,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,5,7,4,3,1,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,5,7,4,3,2,1]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[[.,[.,[.,[.,[[.,.],.]]]]],.]
[6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,7,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[6,7,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,7,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[6,7,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[6,7,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[6,7,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[6,7,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,7,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,7,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,7,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,7,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[6,7,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[6,7,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,7,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,7,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[6,7,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,7,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,1,2,3,4,6,5]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,1,2,3,5,4,6]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,1,2,3,5,6,4]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,1,2,3,6,4,5]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,1,2,4,3,5,6]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,1,2,4,3,6,5]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,1,2,4,5,3,6]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,1,2,4,5,6,3]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,1,2,4,6,3,5]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,1,2,4,6,5,3]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,1,2,5,3,4,6]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,1,2,5,3,6,4]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,1,2,5,4,3,6]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,1,2,5,4,6,3]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,1,2,5,6,3,4]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,1,2,5,6,4,3]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,1,2,6,3,5,4]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,1,2,6,4,3,5]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,1,2,6,4,5,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,1,2,6,5,3,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,1,2,6,5,4,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,1,3,2,4,5,6]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,1,3,2,4,6,5]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,1,3,2,5,4,6]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,3,2,5,6,4]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,3,2,6,4,5]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,1,3,2,6,5,4]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,1,3,4,2,5,6]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,1,3,4,2,6,5]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,1,3,4,5,2,6]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,1,3,4,5,6,2]=>[1,3,4,5,6,2,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,1,3,4,6,2,5]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,1,3,4,6,5,2]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,1,3,5,2,4,6]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,3,5,2,6,4]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,3,5,4,2,6]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,3,5,4,6,2]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,3,5,6,2,4]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,3,5,6,4,2]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,1,3,6,2,4,5]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,1,3,6,2,5,4]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,1,3,6,4,2,5]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,1,3,6,4,5,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,1,3,6,5,2,4]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,1,3,6,5,4,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,1,4,2,3,5,6]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,2,3,6,5]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,2,5,3,6]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,2,5,6,3]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,2,6,3,5]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,3,2,5,6]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,3,2,6,5]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,3,5,2,6]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,3,5,6,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,3,6,5,2]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,5,2,3,6]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,5,2,6,3]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,5,3,2,6]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,5,3,6,2]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,5,6,2,3]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,5,6,3,2]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,1,4,6,2,3,5]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,6,2,5,3]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,6,3,2,5]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,6,3,5,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,6,5,2,3]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,4,6,5,3,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,2,3,6,4]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,2,4,3,6]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,1,5,2,4,6,3]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,1,5,2,6,3,4]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,2,6,4,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,3,2,4,6]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,1,5,3,2,6,4]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,3,4,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,3,4,6,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,3,6,2,4]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,1,5,3,6,4,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,4,2,3,6]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,4,2,6,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,4,3,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,4,3,6,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,4,6,2,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,4,6,3,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,6,2,3,4]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,6,2,4,3]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,1,5,6,3,2,4]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,1,5,6,3,4,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,6,4,2,3]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,5,6,4,3,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,1,6,2,4,3,5]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,1,6,2,4,5,3]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,1,6,2,5,3,4]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,1,6,3,2,4,5]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,1,6,3,2,5,4]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,1,6,3,4,5,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,1,6,3,5,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,1,6,3,5,4,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,1,6,4,2,3,5]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,1,6,4,2,5,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,1,6,4,3,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,1,6,4,3,5,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,1,6,4,5,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,1,6,5,2,3,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,1,6,5,2,4,3]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,1,6,5,3,4,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,1,6,5,4,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,1,6,5,4,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,2,1,3,4,5,6]=>[1,3,4,5,6,2,7]=>[6,2,3,4,5,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,2,1,3,4,6,5]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,2,1,3,5,4,6]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,1,3,5,6,4]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,1,3,6,4,5]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,2,1,3,6,5,4]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,2,1,4,3,5,6]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,1,4,3,6,5]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,1,4,5,3,6]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,1,4,5,6,3]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,1,4,6,3,5]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,1,4,6,5,3]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,1,5,3,4,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,1,5,3,6,4]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,1,5,4,3,6]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,1,5,4,6,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,1,5,6,3,4]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,1,5,6,4,3]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,1,6,3,4,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,2,1,6,3,5,4]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,2,1,6,4,3,5]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,2,1,6,4,5,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,2,1,6,5,3,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,2,1,6,5,4,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,2,3,1,4,5,6]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,3,1,4,6,5]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,3,1,5,4,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,3,1,5,6,4]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,3,1,6,4,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,2,3,1,6,5,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,2,3,4,1,5,6]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,2,3,4,5,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,2,3,4,5,6,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,3,4,6,5,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,2,3,5,1,4,6]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,3,5,1,6,4]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,2,3,5,4,1,6]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,2,3,5,4,6,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,2,3,5,6,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,3,5,6,4,1]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,2,3,6,1,4,5]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,3,6,1,5,4]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,3,6,4,1,5]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,3,6,4,5,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,2,3,6,5,1,4]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,3,6,5,4,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,2,4,1,3,5,6]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,4,1,3,6,5]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,2,4,1,5,3,6]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,2,4,1,5,6,3]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,2,4,1,6,5,3]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,2,4,3,1,5,6]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,2,4,3,1,6,5]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,2,4,3,5,1,6]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,2,4,3,5,6,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,2,4,3,6,5,1]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,2,4,5,1,3,6]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,2,4,5,1,6,3]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,2,4,5,3,1,6]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,2,4,5,3,6,1]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,2,4,5,6,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,2,4,5,6,3,1]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,4,6,1,5,3]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,2,4,6,3,1,5]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,2,4,6,3,5,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,2,4,6,5,1,3]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,2,4,6,5,3,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,2,5,1,3,4,6]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,2,5,1,3,6,4]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,2,5,1,4,3,6]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,5,1,4,6,3]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,5,1,6,3,4]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,2,5,1,6,4,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,2,5,3,1,4,6]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,5,3,1,6,4]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,2,5,3,4,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,2,5,3,4,6,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,2,5,3,6,1,4]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,5,3,6,4,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,2,5,4,1,3,6]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,2,5,4,1,6,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,2,5,4,3,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,2,5,4,3,6,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,2,5,4,6,1,3]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,5,4,6,3,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,2,5,6,1,3,4]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,2,5,6,1,4,3]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,5,6,3,1,4]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,5,6,3,4,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,2,5,6,4,1,3]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,5,6,4,3,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,2,6,1,3,5,4]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,6,1,4,3,5]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,6,1,4,5,3]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,6,1,5,3,4]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,6,3,1,4,5]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,2,6,3,1,5,4]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,6,3,4,5,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,2,6,3,5,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,2,6,4,1,3,5]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,2,6,4,1,5,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,6,4,3,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,2,6,4,3,5,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,2,6,4,5,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,2,6,4,5,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,2,6,5,1,3,4]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,2,6,5,1,4,3]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,6,5,3,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,2,6,5,3,4,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,2,6,5,4,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,2,6,5,4,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,1,2,4,5,6]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,3,1,2,4,6,5]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,3,1,2,5,4,6]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,1,2,5,6,4]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,1,2,6,4,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,1,2,6,5,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,1,4,2,5,6]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,1,4,2,6,5]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,1,4,5,2,6]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,1,4,5,6,2]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,1,4,6,2,5]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,1,4,6,5,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,1,5,2,4,6]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,3,1,5,2,6,4]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,1,5,4,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,1,5,4,6,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,1,5,6,2,4]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,3,1,5,6,4,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,1,6,2,4,5]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,3,1,6,2,5,4]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,3,1,6,4,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,3,1,6,4,5,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,3,1,6,5,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,3,2,1,4,5,6]=>[1,4,5,6,2,3,7]=>[5,6,2,3,4,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,2,1,4,6,5]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,2,1,5,4,6]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,2,1,5,6,4]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,2,1,6,4,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,3,2,1,6,5,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,3,2,4,1,5,6]=>[1,5,6,2,4,3,7]=>[4,6,5,2,3,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,3,2,4,5,1,6]=>[1,6,2,4,5,3,7]=>[3,6,4,5,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,3,2,4,5,6,1]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,3,2,4,6,1,5]=>[1,5,2,4,6,3,7]=>[3,6,4,2,5,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,3,2,4,6,5,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,3,2,5,1,4,6]=>[1,4,6,2,5,3,7]=>[4,6,2,5,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,2,5,1,6,4]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,3,2,5,4,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,3,2,5,4,6,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,2,5,6,1,4]=>[1,4,2,5,6,3,7]=>[3,6,2,4,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,2,5,6,4,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,2,6,1,4,5]=>[1,4,5,2,6,3,7]=>[4,6,2,3,5,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,2,6,1,5,4]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,2,6,4,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,2,6,4,5,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,2,6,5,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,2,6,5,4,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,4,1,2,5,6]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,4,1,2,6,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,4,1,5,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,4,1,5,6,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,4,1,6,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,3,4,1,6,5,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,3,4,2,1,5,6]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,4,2,1,6,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,3,4,2,5,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,3,4,2,5,6,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,4,2,6,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,4,2,6,5,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,4,5,1,2,6]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,3,4,5,2,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,3,4,5,2,6,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,3,4,5,6,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,3,4,5,6,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,4,6,1,5,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,4,6,2,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,4,6,2,5,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,4,6,5,1,2]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,3,4,6,5,2,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,3,5,1,2,6,4]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,3,5,1,4,2,6]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,5,1,4,6,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,5,1,6,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,3,5,1,6,4,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,3,5,2,1,4,6]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,5,2,1,6,4]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,3,5,2,4,6,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,3,5,2,6,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,5,2,6,4,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,3,5,4,1,2,6]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,3,5,4,1,6,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,3,5,4,2,1,6]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,3,5,4,2,6,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,3,5,4,6,1,2]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,3,5,6,1,2,4]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,3,5,6,1,4,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,5,6,2,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,5,6,2,4,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,3,5,6,4,1,2]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,3,5,6,4,2,1]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,3,6,1,2,5,4]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,6,1,4,2,5]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,6,1,4,5,2]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,6,1,5,2,4]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,3,6,1,5,4,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,6,2,1,4,5]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,6,2,1,5,4]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,6,2,4,1,5]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,3,6,2,4,5,1]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,3,6,2,5,1,4]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,6,4,1,2,5]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,6,4,1,5,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,6,4,2,1,5]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,3,6,4,2,5,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,3,6,4,5,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,3,6,4,5,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,3,6,5,1,2,4]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,3,6,5,1,4,2]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,6,5,2,1,4]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,3,6,5,2,4,1]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,3,6,5,4,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,4,1,2,3,6,5]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,4,1,2,5,3,6]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,1,2,5,6,3]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,1,2,6,3,5]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,4,1,2,6,5,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,4,1,3,2,5,6]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,4,1,3,2,6,5]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,4,1,3,5,2,6]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,4,1,3,5,6,2]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,4,1,3,6,2,5]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,4,1,3,6,5,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,4,1,5,2,3,6]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,1,5,2,6,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,1,5,3,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,1,5,3,6,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,1,5,6,2,3]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,1,5,6,3,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,2,1,3,5,6]=>[1,3,5,6,2,4,7]=>[5,2,6,3,4,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,4,2,1,3,6,5]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,4,2,1,5,3,6]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,2,1,5,6,3]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,2,1,6,3,5]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,4,2,1,6,5,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,2,3,1,5,6]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,2,3,1,6,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,2,3,5,1,6]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,4,2,3,5,6,1]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,4,2,3,6,1,5]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,2,3,6,5,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,4,2,5,1,3,6]=>[1,3,6,2,5,4,7]=>[4,2,6,5,3,7,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[7,4,2,5,1,6,3]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,4,2,5,3,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,4,2,5,3,6,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,2,5,6,1,3]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,4,2,5,6,3,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7]=>[4,2,6,3,5,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,4,3,1,2,5,6]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,3,1,2,6,5]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,4,3,1,5,2,6]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,3,1,5,6,2]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,3,1,6,2,5]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,4,3,1,6,5,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,3,2,1,5,6]=>[1,5,6,2,3,4,7]=>[4,5,6,2,3,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,3,2,1,6,5]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,3,2,5,1,6]=>[1,6,2,5,3,4,7]=>[3,5,6,4,2,7,1]=>[[[.,[[.,[.,.]],.]],[.,.]],.]
[7,4,3,2,5,6,1]=>[1,2,5,6,3,4,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,3,2,6,1,5]=>[1,5,2,6,3,4,7]=>[3,5,6,2,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,3,2,6,5,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,4,3,5,1,2,6]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,4,3,5,1,6,2]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,4,3,5,2,1,6]=>[1,6,2,3,5,4,7]=>[3,4,6,5,2,7,1]=>[[[.,[.,[[.,.],.]]],[.,.]],.]
[7,4,3,5,2,6,1]=>[1,2,6,3,5,4,7]=>[2,4,6,5,3,7,1]=>[[.,[[.,[[.,.],.]],[.,.]]],.]
[7,4,3,5,6,1,2]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,4,3,5,6,2,1]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,3,6,1,5,2]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,3,6,2,1,5]=>[1,5,2,3,6,4,7]=>[3,4,6,2,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7]=>[2,4,6,3,5,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,4,5,1,2,3,6]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,4,5,1,2,6,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,4,5,1,3,2,6]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,4,5,1,3,6,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,4,5,1,6,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,5,1,6,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,5,2,1,3,6]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,4,5,2,1,6,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,5,2,3,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,5,2,3,6,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,4,5,2,6,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,4,5,3,1,2,6]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,4,5,3,1,6,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,5,3,2,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,4,5,3,2,6,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,4,5,3,6,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,4,5,3,6,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,4,5,6,1,3,2]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,4,5,6,2,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,4,5,6,2,3,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,4,5,6,3,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,4,5,6,3,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,4,6,1,2,5,3]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,6,1,3,2,5]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,4,6,1,3,5,2]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,4,6,1,5,2,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,6,2,1,3,5]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,4,6,2,1,5,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,6,2,3,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,6,2,3,5,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,4,6,2,5,1,3]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,4,6,2,5,3,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,6,3,1,2,5]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,6,3,1,5,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,6,3,2,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,4,6,3,2,5,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,4,6,3,5,1,2]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,4,6,3,5,2,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,4,6,5,1,2,3]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,4,6,5,1,3,2]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,4,6,5,2,1,3]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,4,6,5,2,3,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,4,6,5,3,1,2]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,4,6,5,3,2,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,5,1,2,3,6,4]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,5,1,2,4,3,6]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,1,2,4,6,3]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,1,2,6,3,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,1,2,6,4,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,1,3,2,4,6]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,5,1,3,2,6,4]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,5,1,3,4,2,6]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,5,1,3,4,6,2]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,5,1,3,6,2,4]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,5,1,3,6,4,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,5,1,4,2,3,6]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,1,4,2,6,3]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,1,4,3,2,6]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,1,4,3,6,2]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,1,4,6,2,3]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,1,4,6,3,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,1,6,2,3,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,1,6,2,4,3]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,5,1,6,3,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,5,1,6,3,4,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,1,6,4,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,2,1,3,4,6]=>[1,3,4,6,2,5,7]=>[5,2,3,6,4,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,5,2,1,3,6,4]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,5,2,1,4,3,6]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,2,1,4,6,3]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,2,1,6,3,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,2,1,6,4,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,2,3,1,4,6]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,2,3,1,6,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,2,3,4,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,2,3,4,6,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,5,2,3,6,1,4]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,2,3,6,4,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,5,2,4,1,3,6]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,5,2,4,1,6,3]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,5,2,4,3,1,6]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,5,2,4,3,6,1]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,2,4,6,1,3]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,5,2,4,6,3,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,2,6,1,3,4]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,5,2,6,1,4,3]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,2,6,3,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,2,6,3,4,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,2,6,4,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,3,1,2,4,6]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,3,1,2,6,4]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,3,1,4,2,6]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,3,1,4,6,2]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,3,1,6,2,4]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,5,3,1,6,4,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,3,2,1,4,6]=>[1,4,6,2,3,5,7]=>[4,5,2,6,3,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,3,2,1,6,4]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,3,2,4,1,6]=>[1,6,2,4,3,5,7]=>[3,5,4,6,2,7,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[7,5,3,2,4,6,1]=>[1,2,4,6,3,5,7]=>[2,5,3,6,4,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,3,2,6,1,4]=>[1,4,2,6,3,5,7]=>[3,5,2,6,4,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,3,2,6,4,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,3,4,1,2,6]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,3,4,1,6,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,3,4,2,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,3,4,2,6,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,3,4,6,1,2]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,5,3,4,6,2,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,3,6,1,4,2]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,3,6,2,1,4]=>[1,4,2,3,6,5,7]=>[3,4,2,6,5,7,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[7,5,3,6,2,4,1]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[7,5,3,6,4,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,5,3,6,4,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,5,4,1,2,3,6]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,5,4,1,2,6,3]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,5,4,1,3,6,2]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,4,2,1,3,6]=>[1,3,6,2,4,5,7]=>[4,2,5,6,3,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,5,4,2,1,6,3]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,4,2,3,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,4,2,3,6,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7]=>[3,2,5,6,4,7,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[7,5,4,2,6,3,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,4,3,1,2,6]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,4,3,1,6,2]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,4,3,2,1,6]=>[1,6,2,3,4,5,7]=>[3,4,5,6,2,7,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[7,5,4,3,2,6,1]=>[1,2,6,3,4,5,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[7,5,4,3,6,1,2]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7]=>[2,3,5,6,4,7,1]=>[[.,[.,[[.,[.,.]],[.,.]]]],.]
[7,5,4,6,1,2,3]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,5,4,6,1,3,2]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,5,4,6,2,1,3]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[7,5,4,6,2,3,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,5,4,6,3,1,2]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,5,4,6,3,2,1]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[[.,[.,[.,[[.,.],[.,.]]]]],.]
[7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,5,6,1,2,4,3]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,5,6,1,3,2,4]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,5,6,1,3,4,2]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,5,6,1,4,3,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,5,6,2,1,3,4]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,5,6,2,1,4,3]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,5,6,2,3,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,5,6,2,3,4,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,5,6,2,4,3,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,5,6,3,1,2,4]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,5,6,3,1,4,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,5,6,3,2,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,5,6,3,2,4,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,5,6,4,1,2,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,5,6,4,1,3,2]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,5,6,4,2,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,5,6,4,3,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,1,2,3,5,4]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,1,2,4,5,3]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,1,2,5,3,4]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,1,2,5,4,3]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,1,3,2,5,4]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,1,3,4,5,2]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,1,3,5,2,4]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,6,1,3,5,4,2]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,1,4,2,5,3]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,1,4,3,5,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,1,4,5,2,3]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,1,4,5,3,2]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,1,5,2,3,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,1,5,2,4,3]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,6,1,5,3,2,4]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,1,5,4,2,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,2,1,3,5,4]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,2,1,4,5,3]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,2,1,5,3,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,2,1,5,4,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,2,3,1,5,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,2,3,4,5,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,2,3,5,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,2,3,5,4,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,6,2,4,1,5,3]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,6,2,4,3,5,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,2,4,5,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,2,4,5,3,1]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,2,5,1,3,4]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,2,5,1,4,3]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,2,5,3,1,4]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,2,5,3,4,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,2,5,4,1,3]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,6,2,5,4,3,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,3,1,2,5,4]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,3,1,4,5,2]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,3,1,5,2,4]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,6,3,1,5,4,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7]=>[4,5,2,3,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,3,2,1,5,4]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7]=>[3,5,4,2,6,7,1]=>[[[.,[[.,.],.]],[.,[.,.]]],.]
[7,6,3,2,4,5,1]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,3,2,5,1,4]=>[1,4,2,5,3,6,7]=>[3,5,2,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,3,4,1,5,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,3,4,2,5,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,3,4,5,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,3,4,5,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,3,5,1,2,4]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,3,5,2,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,3,5,4,1,2]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,3,5,4,2,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,4,1,2,5,3]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,6,4,1,3,5,2]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,6,4,1,5,2,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,4,1,5,3,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7]=>[4,2,5,3,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,6,4,2,1,5,3]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,4,2,3,5,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,4,2,5,1,3]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[7,6,4,2,5,3,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,4,3,1,5,2]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7]=>[3,4,5,2,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[7,6,4,3,2,5,1]=>[1,2,5,3,4,6,7]=>[2,4,5,3,6,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[7,6,4,3,5,1,2]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,4,3,5,2,1]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,4,5,1,3,2]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,4,5,2,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7]=>[3,4,2,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,5,6,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,8,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[7,5,6,8,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,5,7,8,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,6,7,8,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,4,5,3,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,4,8,3,2,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,5,7,4,8,3,2,1]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[7,6,4,5,8,3,2,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[7,5,4,6,8,3,2,1]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[7,4,5,6,8,3,2,1]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[4,5,6,7,8,3,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,5,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,5,6,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,8,3,4,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,8,3,4,5,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,5,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,6,5,4,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,4,5,7,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[5,4,6,7,3,8,2,1]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,5,6,7,3,8,2,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,6,5,3,4,8,2,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[7,6,4,3,5,8,2,1]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[7,6,3,4,5,8,2,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,3,4,5,7,8,2,1]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[4,3,5,6,7,8,2,1]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,5,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,5,6,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,8,4,2,3,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,4,5,2,3,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,8,2,3,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[5,6,7,8,3,2,4,1]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,8,5,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,6,7,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,6,7,8,2,3,4,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,3,2,4,5,6,1]=>[1,2,4,5,6,3,7,8]=>[2,6,3,4,5,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,6,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,7,5,4,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,5,7,4,3,2,8,1]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[6,4,5,7,3,2,8,1]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[4,5,6,7,3,2,8,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,5,4,3,7,2,8,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[5,4,6,3,7,2,8,1]=>[1,2,8,3,7,4,6,5]=>[2,4,6,8,7,5,3,1]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[6,5,3,4,7,2,8,1]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[7,6,5,4,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,7,4,5,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,4,5,7,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[4,5,6,7,2,3,8,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,6,5,3,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[7,6,5,2,3,4,8,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,7,2,3,4,5,8,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[5,2,3,4,6,7,8,1]=>[1,2,3,4,6,7,8,5]=>[2,3,4,8,5,6,7,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[4,3,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,4,2,5,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,2,3,5,6,7,8,1]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,2,4,5,6,7,8,1]=>[1,2,4,5,6,7,8,3]=>[2,8,3,4,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,5,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,5,6,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,8,4,3,1,2]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,6,7,8,4,3,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,4,5,3,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,5,6,7,8,3,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,7,5,8,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[7,5,6,8,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,5,7,8,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,6,7,8,3,4,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,5,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,8,4,5,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,8,5,3,4,6,1,2]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[7,8,4,3,5,6,1,2]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,3,4,5,6,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,3,5,6,7,1,2]=>[1,2,3,5,6,7,4,8]=>[2,3,7,4,5,6,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,3,4,5,6,7,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,5,7,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[5,6,7,4,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,7,4,5,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,6,4,7,3,8,1,2]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[5,4,6,7,3,8,1,2]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,5,6,7,3,8,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,6,3,4,7,8,1,2]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[6,3,4,5,7,8,1,2]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[4,3,5,6,7,8,1,2]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,4,5,6,7,8,1,2]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,8,5,4,2,1,3]=>[1,3,2,4,5,6,8,7]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,6,7,8,4,2,1,3]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,7,8,2,1,3]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,8,5,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,6,7,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,8,4,1,2,3]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,6,7,8,4,1,2,3]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,4,5,8,1,2,3]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,5,4,7,8,1,2,3]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[4,5,6,7,8,1,2,3]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,5,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,8,5,6,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,6,5,8,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,6,7,8,3,2,1,4]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,5,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,8,5,6,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,5,8,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[7,5,6,8,2,3,1,4]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[5,6,7,8,2,3,1,4]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,5,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,8,5,6,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,5,6,8,3,1,2,4]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[5,6,7,8,3,1,2,4]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,8,6,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,8,5,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,8,5,6,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,7,8,2,1,3,4]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,8,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,7,8,5,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,7,5,8,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[7,5,6,8,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,5,7,8,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,6,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,7,8,4,3,2,1,5]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,6,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,7,8,3,4,2,1,5]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,6,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,7,8,4,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,6,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,7,8,3,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[8,7,6,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,7,8,2,3,4,1,5]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,6,4,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,7,8,4,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,7,6,3,4,1,2,5]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,7,8,3,4,1,2,5]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,7,6,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,7,8,4,2,1,3,5]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,7,6,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,7,8,4,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,7,6,3,2,1,4,5]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,8,3,2,1,4,5]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,8,2,3,1,4,5]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,3,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[6,7,8,3,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,7,6,2,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[5,2,3,4,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,8,2,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[5,2,3,4,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,8,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,5,4,3,2,1,6]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,4,5,2,3,1,6]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,3,4,2,5,1,6]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,8,5,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,8,4,5,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,7,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[7,8,5,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[8,7,4,3,2,1,5,6]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,4,3,2,1,5,6]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,2,3,4,1,5,6]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,3,4,1,2,5,6]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,7,4,1,2,3,5,6]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,2,1,3,4,5,6]=>[1,3,4,5,6,2,7,8]=>[6,2,3,4,5,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,5,4,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,4,5,6,3,2,1,7]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,6,5,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,5,6,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,3,4,5,6,1,2,7]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,6,5,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[8,6,4,5,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[8,6,5,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,5,6,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,5,6,2,1,3,4,7]=>[1,3,4,7,2,5,6,8]=>[5,2,3,6,7,4,8,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[8,6,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[8,5,6,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[8,6,4,3,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,6,3,4,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,6,4,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,4,3,2,1,5,6,7]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,2,3,4,1,5,6,7]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,4,1,2,3,5,6,7]=>[1,2,3,5,6,7,4,8]=>[2,3,7,4,5,6,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,3,2,1,4,5,6,7]=>[1,4,5,6,7,2,3,8]=>[6,7,2,3,4,5,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,2,3,1,4,5,6,7]=>[1,4,5,6,7,2,3,8]=>[6,7,2,3,4,5,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,8]=>[7,2,3,4,5,6,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,6,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,7,5,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,7,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[5,6,7,4,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,4,5,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,4,5,6,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,4,7,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[4,5,6,7,3,2,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,5,6,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,7,3,4,2,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,4,3,5,2,1,8]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,6,3,4,5,2,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,5,4,3,6,2,1,8]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,7,5,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,7,4,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,7,4,5,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,4,5,6,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,4,7,2,3,1,8]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[4,5,6,7,2,3,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,7,3,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,6,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,7,5,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,5,6,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,7,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[5,6,7,2,3,4,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,7,3,4,2,5,1,8]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,4,5,2,3,6,1,8]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,6,3,4,2,7,1,8]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,5,3,6,2,7,1,8]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[5,4,3,2,6,7,1,8]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,2,4,5,6,7,1,8]=>[1,8,2,4,5,6,7,3]=>[3,8,4,5,6,7,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,3,4,5,6,7,1,8]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,5,4,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,5,6,4,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,4,5,6,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,5,6,7,3,1,2,8]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,6,5,4,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,5,7,4,2,1,3,8]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[7,5,4,6,2,1,3,8]=>[1,3,8,2,4,6,5,7]=>[4,2,5,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[7,4,5,6,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,5,6,7,2,1,3,8]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,6,5,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,6,7,4,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,4,5,6,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,6,4,7,1,2,3,8]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[5,4,6,7,1,2,3,8]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,5,6,7,1,2,3,8]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,6,7,3,1,2,4,8]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[5,6,7,2,1,3,4,8]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[7,6,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,7,5,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[7,5,6,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,5,7,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[5,6,7,1,2,3,4,8]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[7,6,4,3,2,1,5,8]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,6,4,3,1,2,5,8]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,7,1,2,3,4,5,8]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[7,5,1,2,3,4,6,8]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[7,4,3,2,1,5,6,8]=>[1,5,6,8,2,3,4,7]=>[5,6,7,2,3,8,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,2,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]=>[7,2,3,4,5,8,6,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,5,4,3,2,1,7,8]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,4,3,2,6,1,7,8]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,5,3,2,6,1,7,8]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,2,3,5,6,1,7,8]=>[1,7,8,2,3,5,6,4]=>[4,5,8,6,7,2,3,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,3,4,5,6,1,7,8]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,4,3,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,6,3,1,2,7,8]=>[1,2,7,8,3,4,6,5]=>[2,5,6,8,7,3,4,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[5,6,3,4,1,2,7,8]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,3,6,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,6,3,2,1,4,7,8]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,2,3,1,4,5,7,8]=>[1,4,5,7,8,2,3,6]=>[6,7,2,3,8,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,1,2,3,4,5,7,8]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,4,3,2,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,5,2,3,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,2,3,4,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,3,4,5,1,6,7,8]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,1,2,4,6,7,8]=>[1,2,4,6,7,8,3,5]=>[2,7,3,8,4,5,6,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,1,2,3,4,6,7,8]=>[1,2,3,4,6,7,8,5]=>[2,3,4,8,5,6,7,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[4,3,2,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,4,1,5,6,7,8]=>[1,5,6,7,8,2,4,3]=>[6,8,7,2,3,4,5,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[2,3,4,1,5,6,7,8]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,4,1,2,5,6,7,8]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,1,2,3,5,6,7,8]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,2,1,4,5,6,7,8]=>[1,4,5,6,7,8,2,3]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,1,2,4,5,6,7,8]=>[1,2,4,5,6,7,8,3]=>[2,8,3,4,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[2,1,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,2]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,8,7,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,5,8,7,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[4,8,7,6,5,3,2,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[4,7,6,5,8,3,2,1]=>[1,2,3,4,7,5,8,6]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[3,7,6,8,5,4,2,1]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[3,5,8,7,6,4,2,1]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[3,5,6,7,8,4,2,1]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,4,8,7,6,5,2,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[3,4,5,8,7,6,2,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[4,3,6,5,8,7,2,1]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[5,7,6,4,3,8,2,1]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[2,7,8,6,5,4,3,1]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,5,6,7,8,4,3,1]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,4,8,7,6,5,3,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[2,3,5,6,7,8,4,1]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,3,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[3,4,2,8,7,6,5,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,4,3,8,7,6,5,1]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[3,2,4,8,7,6,5,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[5,4,3,2,8,7,6,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,4,3,2,7,8,6,1]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,5,4,3,8,7,6,1]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,5,4,3,7,8,6,1]=>[1,2,5,3,7,8,4,6]=>[2,4,7,3,8,5,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,4,5,3,7,8,6,1]=>[1,2,4,5,3,7,8,6]=>[2,5,3,4,8,6,7,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[4,3,6,5,2,8,7,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[3,2,6,5,4,8,7,1]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,4,3,6,5,8,7,1]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[2,4,3,5,6,8,7,1]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[2,3,4,5,6,8,7,1]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[4,3,6,5,7,2,8,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[2,5,4,7,6,3,8,1]=>[1,2,5,3,8,4,7,6]=>[2,4,6,3,8,7,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[2,5,4,6,7,3,8,1]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[3,2,6,5,7,4,8,1]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,3,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,2,7,6,5,8,1]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,4,3,7,6,5,8,1]=>[1,2,4,3,7,5,8,6]=>[2,4,3,6,8,5,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[3,2,4,7,6,5,8,1]=>[1,2,4,7,3,5,8,6]=>[2,5,3,6,8,4,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,3,4,7,6,5,8,1]=>[1,2,3,4,7,5,8,6]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,4,3,2,7,6,8,1]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,5,2,7,6,8,1]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,5,4,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,3,5,4,7,6,8,1]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[3,2,4,5,7,6,8,1]=>[1,2,4,5,7,3,6,8]=>[2,6,3,4,7,5,8,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,4,3,6,5,7,8,1]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,5,4,3,6,7,8,1]=>[1,2,5,3,6,7,8,4]=>[2,4,8,3,5,6,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,8,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,7,8,6,5,4,3,2]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,6,8,7,5,4,3,2]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,7,6,8,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,6,7,8,5,4,3,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,8,7,6,4,3,2]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,7,6,5,8,4,3,2]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,5,6,7,8,4,3,2]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,4,7,8,6,5,3,2]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,3,5,7,8,6,4,2]=>[1,3,5,7,8,2,4,6]=>[6,2,7,3,8,4,5,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,8,2,4]=>[7,2,8,3,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,4,3,7,6,8,5,2]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,3,4,8,7,6,5,2]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[1,3,4,7,6,8,5,2]=>[1,3,4,7,2,5,6,8]=>[5,2,3,6,7,4,8,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[1,3,4,5,7,8,6,2]=>[1,3,4,5,7,8,2,6]=>[7,2,3,4,8,5,6,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[1,6,5,4,3,8,7,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,5,6,4,3,8,7,2]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[1,4,3,6,5,8,7,2]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,3,4,5,6,8,7,2]=>[1,3,4,5,6,8,2,7]=>[7,2,3,4,5,8,6,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[1,5,4,3,6,7,8,2]=>[1,5,2,3,6,7,8,4]=>[3,4,8,2,5,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,4,5,3,6,7,8,2]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,4,3,5,6,7,8,2]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,8,2]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,8,7,6,5,4,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,1,6,7,8,5,4,3]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,7,6,5,8,4,3]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,6,7,5,8,4,3]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,6,5,7,8,4,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,5,6,7,8,4,3]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,1,4,7,8,6,5,3]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,1,4,5,7,8,6,3]=>[1,4,5,7,8,2,3,6]=>[6,7,2,3,8,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,1,6,5,7,4,8,3]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,1,5,4,7,6,8,3]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,4,5,6,7,8,3]=>[1,4,5,6,7,8,2,3]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,2,4,8,7,6,5,3]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[1,2,4,7,8,6,5,3]=>[1,2,4,7,8,3,5,6]=>[2,6,3,7,8,4,5,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,2,4,6,7,8,5,3]=>[1,2,4,6,7,8,3,5]=>[2,7,3,8,4,5,6,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,2,6,5,4,7,8,3]=>[1,2,6,3,4,7,8,5]=>[2,4,5,8,3,6,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,2,5,6,4,7,8,3]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,2,5,4,6,7,8,3]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,2,4,5,6,7,8,3]=>[1,2,4,5,6,7,8,3]=>[2,8,3,4,5,6,7,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[3,2,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,2,1,7,8,6,5,4]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,6,8,7,5,4]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,2,1,7,6,8,5,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,6,7,8,5,4]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,1,5,8,7,6,4]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,2,1,5,6,8,7,4]=>[1,5,6,8,2,3,4,7]=>[5,6,7,2,3,8,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,2,1,7,6,5,8,4]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,6,7,5,8,4]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,1,5,7,6,8,4]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,1,6,5,7,8,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,1,5,6,7,8,4]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,3,1,8,7,6,5,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,3,2,8,7,6,5,4]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,1,3,8,7,6,5,4]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,2,3,8,7,6,5,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,2,3,7,6,8,5,4]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,2,3,5,8,7,6,4]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[1,2,3,6,5,8,7,4]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[1,2,3,7,6,5,8,4]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[1,2,3,6,5,7,8,4]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,3,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,2,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,3,2,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,4,2,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,4,2,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,2,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,4,2,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,2,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,4,3,1,8,7,6,5]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,4,3,1,7,6,8,5]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,4,3,1,6,7,8,5]=>[1,6,7,8,2,4,3,5]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,2,4,1,8,7,6,5]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[3,2,4,1,7,6,8,5]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,2,4,1,6,7,8,5]=>[1,6,7,8,2,4,3,5]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,3,4,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,3,4,1,7,8,6,5]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,1,6,8,7,5]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,3,4,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,4,3,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[1,4,3,2,7,6,8,5]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,4,3,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>[3,7,2,8,4,5,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,3,4,2,6,7,8,5]=>[1,3,4,2,6,7,8,5]=>[4,2,3,8,5,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,1,4,3,6,8,7,5]=>[1,4,2,3,6,8,5,7]=>[3,4,2,7,5,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,4,3,7,6,8,5]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,1,4,3,6,7,8,5]=>[1,4,2,3,6,7,8,5]=>[3,4,2,8,5,6,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[1,2,4,3,7,6,8,5]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,2,4,3,6,7,8,5]=>[1,2,4,3,6,7,8,5]=>[2,4,3,8,5,6,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,2,1,4,7,8,6,5]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,1,4,7,6,8,5]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,1,4,6,7,8,5]=>[1,4,6,7,8,2,3,5]=>[6,7,2,8,3,4,5,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,3,1,4,7,6,8,5]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,1,4,6,7,8,5]=>[1,4,6,7,8,2,3,5]=>[6,7,2,8,3,4,5,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,3,2,4,6,7,8,5]=>[1,3,2,4,6,7,8,5]=>[3,2,4,8,5,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,1,3,4,8,7,6,5]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[2,1,3,4,7,8,6,5]=>[1,3,4,7,8,2,5,6]=>[6,2,3,7,8,4,5,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[2,1,3,4,7,6,8,5]=>[1,3,4,7,2,5,6,8]=>[5,2,3,6,7,4,8,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[2,1,3,4,6,7,8,5]=>[1,3,4,6,7,8,2,5]=>[7,2,3,8,4,5,6,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,2,3,4,7,8,6,5]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,2,3,4,7,6,8,5]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,8,5]=>[2,3,4,8,5,6,7,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[5,4,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,3,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,3,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,5,4,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,3,5,2,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,4,5,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,4,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,2,5,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,3,5,4,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,3,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,4,2,5,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,4,3,5,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,3,4,5,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,2,1,5,8,7,6]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,2,4,1,5,8,7,6]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,2,4,1,5,7,8,6]=>[1,5,7,8,2,4,3,6]=>[5,7,6,2,8,3,4,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,3,4,1,5,8,7,6]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,3,1,4,5,7,8,6]=>[1,4,5,7,8,2,3,6]=>[6,7,2,3,8,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[6,5,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,4,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,3,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,6,5,4,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,3,6,5,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,4,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,5,3,6,2,1,8,7]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,3,5,6,2,1,8,7]=>[1,8,2,3,5,6,4,7]=>[3,4,7,5,6,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,3,6,5,4,1,8,7]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,4,3,6,5,1,8,7]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[5,4,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,5,3,2,6,1,8,7]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,3,5,2,6,1,8,7]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[3,2,5,4,6,1,8,7]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,3,2,5,6,1,8,7]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,3,4,5,6,1,8,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,5,6,4,3,2,8,7]=>[1,5,6,2,8,3,4,7]=>[4,6,7,2,3,8,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,1,6,5,4,3,8,7]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,1,5,6,4,3,8,7]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,1,4,6,5,3,8,7]=>[1,4,6,2,3,8,5,7]=>[4,5,2,7,3,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,5,4,6,3,8,7]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,1,4,3,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,4,3,2,1,6,8,7]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,1,5,4,3,6,8,7]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,2,1,5,6,8,7]=>[1,5,6,8,2,3,4,7]=>[5,6,7,2,3,8,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,2,4,1,5,6,8,7]=>[1,5,6,8,2,4,3,7]=>[5,7,6,2,3,8,4,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,3,4,1,5,6,8,7]=>[1,5,6,8,2,3,4,7]=>[5,6,7,2,3,8,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,1,3,4,5,6,8,7]=>[1,3,4,5,6,8,2,7]=>[7,2,3,4,5,8,6,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[5,7,6,4,3,2,1,8]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[4,7,6,5,3,2,1,8]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[3,4,7,6,5,2,1,8]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[3,2,7,6,5,4,1,8]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[3,2,6,7,5,4,1,8]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,4,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,5,3,2,7,6,1,8]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[3,5,4,2,7,6,1,8]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[2,3,4,5,7,6,1,8]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[2,3,1,5,6,7,4,8]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,2,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,2,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,4,1,7,6,5,8]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,2,4,1,6,7,5,8]=>[1,6,7,2,4,3,5,8]=>[4,6,5,7,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,3,4,1,7,6,5,8]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,1,6,7,5,8]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,4,3,2,7,6,5,8]=>[1,4,2,7,3,5,8,6]=>[3,5,2,6,8,4,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,3,4,2,6,7,5,8]=>[1,3,4,2,6,7,5,8]=>[4,2,3,7,5,6,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[3,2,1,4,7,6,5,8]=>[1,4,7,2,3,5,8,6]=>[4,5,2,6,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,4,3,2,1,7,6,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,3,1,5,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[4,3,2,1,5,7,6,8]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,4,1,5,7,6,8]=>[1,5,7,2,4,3,6,8]=>[4,6,5,2,7,3,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,3,4,1,5,7,6,8]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[4,3,2,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,4,1,6,5,7,8]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,3,4,1,6,5,7,8]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,2,5,4,1,6,7,8]=>[1,6,7,8,2,5,3,4]=>[5,7,8,6,2,3,4,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,3,4,8,6,7,5]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,2,3,5,8,6,7,4]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[1,2,3,7,5,6,8,4]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,2,3,8,5,6,7,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,2,3,8,5,7,6,4]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[1,2,3,8,6,5,7,4]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[1,2,3,8,6,7,5,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,2,4,5,8,6,7,3]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[1,2,4,8,6,5,7,3]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[1,2,6,4,5,7,8,3]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,3,7,4,5,6,2,8]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,3,8,5,6,7,4,2]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,3,8,6,5,7,4,2]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[1,5,3,4,6,7,8,2]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,8,4,3,5,6,7,2]=>[1,8,2,3,5,6,7,4]=>[3,4,8,5,6,7,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,8,4,7,6,5,3,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[1,7,5,4,3,6,8,2]=>[1,7,2,3,6,8,4,5]=>[3,4,7,8,5,2,6,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[1,8,5,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[1,8,7,4,5,6,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,8,7,4,6,5,3,2]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[1,8,6,5,4,7,3,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[1,8,7,5,4,6,3,2]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[1,8,7,5,6,4,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,1,3,8,5,7,6,4]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[2,1,6,4,5,3,8,7]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,1,7,4,6,5,8,3]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[2,1,8,5,4,7,6,3]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,1,8,7,5,6,4,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,3,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,3,4,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,3,4,8,5,6,7,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,4,8,5,7,6,1]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[2,3,4,8,6,5,7,1]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[2,3,4,8,6,7,5,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,6,4,5,1,8,7]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,3,7,4,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[2,5,3,4,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,5,3,4,8,6,7,1]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,8,3,4,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,8,3,5,4,7,6,1]=>[1,2,8,3,5,4,7,6]=>[2,4,6,5,8,7,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[2,8,3,5,7,6,4,1]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[2,5,4,3,8,6,7,1]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,8,4,3,5,7,6,1]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[3,2,1,5,8,6,7,4]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,2,1,7,5,6,4,8]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,7,5,6,8,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,8,5,6,7,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,2,1,8,5,7,6,4]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[3,2,1,8,6,5,7,4]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[3,2,1,8,6,7,5,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,2,4,1,8,6,7,5]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[3,2,7,5,4,6,1,8]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[4,2,3,1,6,7,8,5]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,3,1,7,6,8,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,3,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,3,1,8,7,6,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,3,5,1,8,7,6]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,2,3,7,5,6,8,1]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,2,3,7,6,5,8,1]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,2,3,8,7,6,5,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,2,3,4,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,2,3,4,6,5,1,8]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[7,2,3,6,5,4,1,8]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,2,4,3,1,6,7,8]=>[1,6,7,8,2,4,3,5]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,2,4,3,1,7,6,8]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[5,2,4,3,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,2,4,3,6,1,8,7]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[5,2,4,3,7,6,8,1]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,2,4,3,6,5,8,1]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[4,3,2,1,8,6,7,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,2,7,5,6,8,1]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,2,8,5,7,6,1]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[5,3,2,4,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,3,2,5,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,3,2,7,6,5,4,1]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,3,4,2,1,7,8,6]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,4,2,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,7,4,6,5,2,1]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[7,3,6,5,4,2,1,8]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,4,3,2,8,6,7,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,4,3,6,5,2,1,8]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,5,3,4,2,1,8,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,3,5,4,2,1,8]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,7,3,5,4,6,2,1]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,7,3,6,5,4,2,1]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,5,4,3,2,7,6,1]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,7,4,3,6,5,2,1]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,4,6,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[2,1,4,3,6,8,5,7]=>[1,4,2,3,6,8,5,7]=>[3,4,2,7,5,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,4,6,3,8,5,7]=>[1,4,6,2,3,8,5,7]=>[4,5,2,7,3,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,1,6,3,8,5,7]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,4,6,1,3,8,5,7]=>[1,3,8,2,4,6,5,7]=>[4,2,5,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[2,1,4,6,8,3,5,7]=>[1,4,6,8,2,3,5,7]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,6,1,8,3,5,7]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,4,6,8,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,4,1,6,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,4,1,3,6,7,8,5]=>[1,3,6,7,8,2,4,5]=>[6,2,7,8,3,4,5,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,4,1,6,7,3,8,5]=>[1,6,7,2,4,3,8,5]=>[4,6,5,8,2,3,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,4,1,6,7,8,3,5]=>[1,6,7,8,2,4,3,5]=>[5,7,6,8,2,3,4,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,4,6,7,1,8,3,5]=>[1,8,2,4,6,7,3,5]=>[3,7,4,8,5,6,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,1,4,3,7,5,8,6]=>[1,4,2,3,7,5,8,6]=>[3,4,2,6,8,5,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,4,7,1,3,5,8,6]=>[1,3,5,8,2,4,7,6]=>[5,2,6,3,8,7,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[2,4,7,1,3,8,5,6]=>[1,3,8,2,4,7,5,6]=>[4,2,5,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[2,4,1,5,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[3,5,4,2,7,6,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,1,4,5,7,3,8,6]=>[1,4,5,7,2,3,8,6]=>[5,6,2,3,8,4,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,4,5,7,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[2,4,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,4,1,5,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[2,4,1,5,6,3,8,7]=>[1,5,6,2,4,3,8,7]=>[4,6,5,2,3,8,7,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[2,4,1,5,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[2,4,1,5,6,7,8,3]=>[1,5,6,7,8,2,4,3]=>[6,8,7,2,3,4,5,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[2,4,5,6,1,7,8,3]=>[1,7,8,2,4,5,6,3]=>[4,8,5,6,7,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,4,5,6,7,1,8,3]=>[1,8,2,4,5,6,7,3]=>[3,8,4,5,6,7,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,4,5,6,7,8,1,3]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,5,3,6,4,8,7]=>[1,5,2,3,6,4,8,7]=>[3,4,6,2,5,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,5,6,8,1,3,4,7]=>[1,3,4,7,2,5,6,8]=>[5,2,3,6,7,4,8,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[2,1,5,6,7,8,3,4]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,5,1,6,7,8,3,4]=>[1,6,7,8,2,5,3,4]=>[5,7,8,6,2,3,4,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[2,5,6,1,7,8,3,4]=>[1,7,8,2,5,6,3,4]=>[4,7,8,5,6,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,5,6,7,8,1,3,4]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,5,3,7,4,8,6]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,5,1,3,7,8,4,6]=>[1,3,7,8,2,5,4,6]=>[5,2,7,6,8,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,1,5,7,3,8,4,6]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,3,5,1,7,4,8,6]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,3,5,1,6,4,7,8]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[2,3,5,6,1,7,8,4]=>[1,7,8,2,3,5,6,4]=>[4,5,8,6,7,2,3,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,3,5,6,7,8,1,4]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,6,7,1,3,4,8,5]=>[1,3,4,8,2,6,7,5]=>[5,2,3,8,6,7,4,1]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]
[2,1,6,3,7,8,4,5]=>[1,6,2,3,7,8,4,5]=>[3,4,7,8,2,5,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,6,1,7,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[2,1,6,7,8,3,4,5]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,6,7,8,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[5,2,3,4,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,6,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,6,3,4,7,8,5]=>[1,6,2,3,4,7,8,5]=>[3,4,5,8,2,6,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,3,6,7,8,4,5]=>[1,3,6,7,8,2,4,5]=>[6,2,7,8,3,4,5,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,3,1,6,7,8,4,5]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,6,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,3,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,3,1,6,8,4,5,7]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,3,6,1,8,4,5,7]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,3,4,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,6,1,3,4,5,7,8]=>[1,3,4,5,7,8,2,6]=>[7,2,3,4,8,5,6,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[2,3,4,6,1,7,5,8]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[2,3,4,6,7,8,1,5]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,1,7,8,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,7,1,8,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,7,8,1,3,4,5,6]=>[1,3,4,5,6,2,7,8]=>[6,2,3,4,5,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,3,1,7,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,7,1,4,8,5,6]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[2,3,4,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,1,4,7,8,5,6]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,4,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,7,1,8,5,6]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,7,1,3,4,5,6,8]=>[1,3,4,5,6,8,2,7]=>[7,2,3,4,5,8,6,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,3,4,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,5,7,1,8,6]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[2,3,4,5,7,8,1,6]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,8,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,8,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,8]=>[7,2,3,4,5,6,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,1,3,8,4,5,6,7]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,1,3,4,8,5,6,7]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[2,3,4,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,3,4,8,1,5,6,7]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,3,4,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,3,4,5,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,3,4,5,8,1,6,7]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,3,4,5,6,8,1,7]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,4,2,6,5,8,7]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,4,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,1,4,2,6,8,5,7]=>[1,4,2,6,8,3,5,7]=>[3,6,2,7,4,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,1,4,6,8,2,5,7]=>[1,4,6,8,2,5,7,3]=>[5,8,2,6,3,7,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,4,6,8,1,2,5,7]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,4,6,7,1,2,5,8]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[3,1,4,2,6,7,8,5]=>[1,4,2,6,7,8,3,5]=>[3,7,2,8,4,5,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,6,1,2,7,8,5]=>[1,2,7,8,3,4,6,5]=>[2,5,6,8,7,3,4,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[3,4,6,1,7,2,8,5]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[3,4,6,1,7,8,2,5]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,4,6,7,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,1,4,2,7,5,8,6]=>[1,4,2,7,3,5,8,6]=>[3,5,2,6,8,4,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,4,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,7,1,8,2,5,6]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,4,7,8,1,2,5,6]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,4,5,7,1,2,8,6]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[3,1,4,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,4,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[3,1,4,2,5,6,7,8]=>[1,4,2,5,6,7,8,3]=>[3,8,2,4,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,1,4,5,6,7,8,2]=>[1,4,5,6,7,8,2,3]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,4,5,6,7,1,8,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,1,5,2,6,4,8,7]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,5,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,5,6,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[3,5,1,2,6,8,4,7]=>[1,2,6,8,3,5,4,7]=>[2,5,7,6,3,8,4,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[3,1,5,6,2,8,4,7]=>[1,5,6,2,8,3,4,7]=>[4,6,7,2,3,8,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,5,6,1,8,2,4,7]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[3,5,6,1,7,2,4,8]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,5,6,7,8,1,2,4]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[3,1,5,7,2,8,4,6]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,5,1,7,2,8,4,6]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,5,7,8,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,1,5,2,7,4,6,8]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,5,2,7,4,8,6]=>[1,3,5,2,7,4,8,6]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,1,5,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,6,7]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[1,3,2,5,8,4,6,7]=>[1,3,2,5,8,4,6,7]=>[3,2,6,4,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[1,3,5,8,2,4,6,7]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[1,3,5,2,6,8,4,7]=>[1,3,5,2,6,8,4,7]=>[4,2,7,3,5,8,6,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[1,3,5,6,2,7,4,8]=>[1,3,5,6,2,7,4,8]=>[5,2,7,3,4,6,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,8,2,4]=>[7,2,8,3,4,5,6,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[3,6,1,7,2,4,8,5]=>[1,7,2,4,8,3,6,5]=>[3,6,4,8,7,2,5,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[3,6,1,7,2,8,4,5]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[3,6,7,1,2,8,4,5]=>[1,2,8,3,6,7,4,5]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[3,6,1,7,8,2,4,5]=>[1,7,8,2,4,5,3,6]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,6,7,8,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[3,1,6,2,7,4,5,8]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,3,2,6,4,7,5,8]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[1,3,6,2,4,7,8,5]=>[1,3,6,2,4,7,8,5]=>[4,2,5,8,3,6,7,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[1,3,6,2,7,8,4,5]=>[1,3,6,2,7,8,4,5]=>[4,2,7,8,3,5,6,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,1,6,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,1,6,8,2,4,5,7]=>[1,6,8,2,4,5,7,3]=>[4,8,5,6,2,7,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[1,3,2,6,4,8,5,7]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[3,1,6,2,4,5,8,7]=>[1,6,2,4,5,8,3,7]=>[3,7,4,5,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,1,6,2,4,5,7,8]=>[1,6,2,4,5,7,8,3]=>[3,8,4,5,2,6,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,1,2,4,6,7,8,5]=>[1,2,4,6,7,8,3,5]=>[2,7,3,8,4,5,6,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,1,7,8,2,4,5,6]=>[1,7,8,2,4,5,6,3]=>[4,8,5,6,7,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,3,2,7,4,8,5,6]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,3,7,2,8,4,5,6]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,3,2,7,4,5,6,8]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,3,4,5,7,8,2,6]=>[1,3,4,5,7,8,2,6]=>[7,2,3,4,8,5,6,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[3,1,8,2,4,5,6,7]=>[1,8,2,4,5,6,7,3]=>[3,8,4,5,6,7,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,3,2,8,4,5,6,7]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,1,2,4,8,5,6,7]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[3,1,2,4,5,8,6,7]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[4,1,5,2,6,3,8,7]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,5,1,2,6,3,8,7]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,5,6,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,1,5,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[3,6,8,2,4,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,5,1,6,2,8,3,7]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,6,1,2,8,3,7]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[4,5,6,8,1,2,3,7]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,5,1,6,2,7,3,8]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,5,6,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,6,7,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,1,5,6,7,8,2,3]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,5,6,7,1,8,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,1,5,2,7,3,8,6]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,5,1,7,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,5,7,2,8,3,6]=>[1,5,7,2,8,3,6,4]=>[4,6,8,2,7,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,5,1,7,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,5,7,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[4,5,7,8,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,5,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,4,2,5,3,7,6,8]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,4,2,5,7,3,8,6]=>[1,4,2,5,7,3,8,6]=>[3,6,2,4,8,5,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,4,5,7,2,3,8,6]=>[1,4,5,7,2,3,8,6]=>[5,6,2,3,8,4,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,5,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,4,2,5,3,8,6,7]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[1,4,2,5,8,3,6,7]=>[1,4,2,5,8,3,6,7]=>[3,6,2,4,7,8,5,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,1,2,5,6,3,8,7]=>[1,2,5,6,3,8,4,7]=>[2,5,7,3,4,8,6,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[1,4,2,5,3,6,7,8]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,4,5,6,2,7,3,8]=>[1,4,5,6,2,7,3,8]=>[5,7,2,3,4,6,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,4,5,6,7,2,3,8]=>[1,4,5,6,7,2,3,8]=>[6,7,2,3,4,5,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,1,2,5,6,7,8,3]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,4,2,5,6,7,8,3]=>[1,4,2,5,6,7,8,3]=>[3,8,2,4,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,4,5,2,6,7,8,3]=>[1,4,5,2,6,7,8,3]=>[4,8,2,3,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,4,5,6,7,8,2,3]=>[1,4,5,6,7,8,2,3]=>[7,8,2,3,4,5,6,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,1,6,2,7,3,8,5]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,1,2,7,8,3,5]=>[1,2,7,8,3,5,4,6]=>[2,5,7,6,8,3,4,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,6,7,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,6,7,8,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,6,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,6,1,2,3,7,5,8]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[1,4,2,6,3,7,5,8]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,1,6,2,3,7,8,5]=>[1,6,2,3,7,8,4,5]=>[3,4,7,8,2,5,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,4,6,2,7,3,8,5]=>[1,4,6,2,7,3,8,5]=>[4,6,2,8,3,5,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,4,2,6,7,8,3,5]=>[1,4,2,6,7,8,3,5]=>[3,7,2,8,4,5,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,4,6,2,7,8,3,5]=>[1,4,6,2,7,8,3,5]=>[4,7,2,8,3,5,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,4,6,7,2,8,3,5]=>[1,4,6,7,2,8,3,5]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,6,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[4,1,2,6,3,8,5,7]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,4,2,6,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,1,2,3,6,5,8,7]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[1,4,2,6,3,5,7,8]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,1,2,3,6,5,7,8]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,1,2,3,6,7,5,8]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,4,2,3,6,7,8,5]=>[1,4,2,3,6,7,8,5]=>[3,4,2,8,5,6,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,2,4,6,7,8,3,5]=>[1,2,4,6,7,8,3,5]=>[2,7,3,8,4,5,6,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,7,1,2,8,3,5,6]=>[1,2,8,3,5,6,4,7]=>[2,4,7,5,6,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[4,1,7,8,2,3,5,6]=>[1,7,8,2,3,5,6,4]=>[4,5,8,6,7,2,3,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,7,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>[3,4,7,5,6,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,4,2,7,3,8,5,6]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,2,7,8,3,5,6]=>[1,2,7,8,3,5,6,4]=>[2,5,8,6,7,3,4,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,4,2,7,8,3,5,6]=>[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,4,7,8,2,3,5,6]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,2,3,7,5,8,6]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,4,2,7,3,5,6,8]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,2,3,7,5,6,8]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,4,2,3,7,5,6,8]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,2,3,5,7,6,8]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,8,1,2,3,5,6,7]=>[1,2,3,5,6,7,4,8]=>[2,3,7,4,5,6,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,4,2,8,3,5,6,7]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[4,1,2,3,8,5,6,7]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,1,2,3,5,8,6,7]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,1,6,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,6,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,5,2,6,3,7,4,8]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,5,6,7,8,2,3,4]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,6,1,2,8,3,4,7]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[5,6,8,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,6,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[1,5,2,6,3,8,4,7]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[1,5,6,2,3,8,4,7]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,1,6,2,3,4,7,8]=>[1,6,2,3,4,7,8,5]=>[3,4,5,8,2,6,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,2,6,3,4,7,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,2,5,3,6,4,7,8]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,2,5,6,3,4,7,8]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,2,3,6,7,8,4]=>[1,5,2,3,6,7,8,4]=>[3,4,8,2,5,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,2,5,3,6,7,8,4]=>[1,2,5,3,6,7,8,4]=>[2,4,8,3,5,6,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,2,5,6,3,7,8,4]=>[1,2,5,6,3,7,8,4]=>[2,5,8,3,4,6,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,2,5,6,7,3,8,4]=>[1,2,5,6,7,3,8,4]=>[2,6,8,3,4,5,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,2,5,6,7,8,3,4]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[5,1,7,2,8,3,4,6]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[5,7,8,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,5,2,7,3,8,4,6]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,5,7,2,8,3,4,6]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,1,2,3,4,6,8]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[1,5,2,7,3,4,6,8]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,5,2,3,4,7,6,8]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,5,2,8,3,4,6,7]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,5,8,2,3,4,6,7]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,1,2,3,8,4,6,7]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,2,5,3,8,4,6,7]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,5,2,3,4,8,6,7]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[5,1,2,3,4,6,8,7]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[1,5,2,3,4,6,7,8]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,1,7,8,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,7,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,6,2,7,3,8,4,5]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,6,7,2,8,3,4,5]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,6,7,8,2,3,4,5]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,7,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,1,7,2,3,4,5,8]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,1,2,7,3,4,5,8]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,6,2,7,3,4,5,8]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,6,7,2,3,4,5,8]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,2,6,3,7,4,5,8]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,6,2,3,4,7,5,8]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,2,3,6,4,7,5,8]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,1,2,3,4,7,8,5]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,2,6,3,4,7,8,5]=>[1,2,6,3,4,7,8,5]=>[2,4,5,8,3,6,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,2,3,6,4,7,8,5]=>[1,2,3,6,4,7,8,5]=>[2,3,5,8,4,6,7,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,2,3,6,7,4,8,5]=>[1,2,3,6,7,4,8,5]=>[2,3,6,8,4,5,7,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,1,8,2,3,4,5,7]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,1,2,8,3,4,5,7]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[1,6,2,8,3,4,5,7]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,6,8,2,3,4,5,7]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,6,2,3,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,2,6,3,4,8,5,7]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,2,3,6,4,8,5,7]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,1,2,3,4,5,8,7]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[1,6,2,3,4,5,7,8]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,1,8,2,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,1,2,8,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,7,2,8,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,7,8,2,3,4,5,6]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,7,2,3,8,4,5,6]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,1,2,3,4,8,5,6]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,7,2,3,4,8,5,6]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,2,3,7,4,8,5,6]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,1,2,3,4,5,8,6]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[1,7,2,3,4,5,8,6]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,2,7,3,4,5,8,6]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,2,3,7,4,5,8,6]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,5,8,6]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,7,2,3,4,5,6,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,2,3,7,4,5,6,8]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[5,3,2,6,1,4,8,7]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[7,3,2,5,4,8,1,6]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[8,4,5,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,4,5,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,5,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,6,2,1,3,8,7]=>[1,3,8,2,4,6,5,7]=>[4,2,5,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[3,6,1,5,4,2,8,7]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,5,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[5,6,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,5,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,6,4,3,7,2,5,1]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,6,4,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,4,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,7,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,7,5,1,3,8,2,6]=>[1,3,8,2,6,4,7,5]=>[4,2,6,8,5,7,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[3,7,1,5,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,1,7,5,4,8,3,6]=>[1,7,2,3,6,4,8,5]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[3,8,1,5,4,7,6,2]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,8,4,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,8,5,7,3,1,4,2]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,8,6,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,1,8,6,7,4,5,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,1,7,6,8,4,3,5]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,7,1,6,8,4,2,5]=>[1,6,8,2,5,3,7,4]=>[4,6,8,5,2,7,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,7,6,8,1,3,2,4]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[7,4,6,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,4,6,2,7,3,5,1]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,3,2,7,8,1,4,5]=>[1,4,5,2,7,8,3,6]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,3,2,7,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[4,3,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,3,2,8,1,7,6,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,3,2,8,7,1,5,4]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,3,2,8,6,5,1,4]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[8,4,7,2,6,5,3,1]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,4,8,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[5,4,8,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,8,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,1,8,2,7,6,4]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[2,1,5,8,3,7,6,4]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,6,1,8,7,2,5,4]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,6,8,1,7,2,5,3]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,6,8,7,1,2,4,3]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[6,5,8,7,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[7,5,8,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[5,7,8,6,1,4,2,3]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,7,8,1,6,5,2,3]=>[1,6,2,3,4,7,8,5]=>[3,4,5,8,2,6,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,7,1,8,6,5,2,4]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[2,1,7,8,6,5,3,4]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,8,1,7,6,5,4,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,8,7,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,8,7,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,8,7,5,4,1,3,2]=>[1,3,2,4,5,6,8,7]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[8,7,6,5,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,5,4,3,2,1,10,9,8,7]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[9,7,5,10,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,10,7,9]=>[3,5,2,7,4,9,6,10,8,1]=>[[[.,[.,.]],[[.,.],[[.,.],[[.,.],.]]]],.]
[4,3,2,1,10,9,8,7,6,5]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[2,1,10,9,8,7,6,5,4,3]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[4,2,5,1,3,6,7,8]=>[1,3,6,7,8,2,5,4]=>[6,2,8,7,3,4,5,1]=>[[[.,.],[[[.,.],.],[.,[.,.]]]],.]
[6,3,5,1,2,4,7,8]=>[1,2,4,7,8,3,5,6]=>[2,6,3,7,8,4,5,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[6,5,8,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[7,5,8,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[8,3,7,1,2,4,5,6]=>[1,2,4,5,6,3,7,8]=>[2,6,3,4,5,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,5,7,1,2,3,4,6]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[5,2,6,7,1,3,4,8]=>[1,3,4,8,2,6,7,5]=>[5,2,3,8,6,7,4,1]=>[[[.,.],[.,[[[.,.],[.,.]],.]]],.]
[5,3,6,7,1,2,4,8]=>[1,2,4,8,3,6,7,5]=>[2,5,3,8,6,7,4,1]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[6,3,5,7,1,2,4,8]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[6,3,5,8,1,2,4,7]=>[1,2,4,7,3,5,8,6]=>[2,5,3,6,8,4,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[3,2,7,8,1,4,5,6]=>[1,4,5,6,2,7,8,3]=>[5,8,2,3,4,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,3,4,8,1,2,5,6]=>[1,2,5,6,3,4,8,7]=>[2,5,6,3,4,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[8,2,4,6,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,3,5,7,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,7,3,6,1,2,5,8]=>[1,2,5,8,3,6,4,7]=>[2,5,7,3,6,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,8,2,6,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[5,2,7,3,6,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,8,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,8,2,7,1,4,5,6]=>[1,4,5,6,2,7,3,8]=>[5,7,2,3,4,6,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,8,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[5,2,7,3,4,6,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,8,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,8,5,7,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[7,8,3,5,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,8,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[4,3,2,6,1,5,7,8]=>[1,5,7,8,2,6,3,4]=>[5,7,8,2,6,3,4,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,2,6,1,3,7,8]=>[1,3,7,8,2,6,4,5]=>[5,2,7,8,6,3,4,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[4,3,2,7,1,5,6,8]=>[1,5,6,8,2,7,3,4]=>[5,7,8,2,3,6,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,3,2,8,1,4,6,7]=>[1,4,6,7,2,8,3,5]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,5,3,8,1,2,4,7]=>[1,2,4,7,3,8,5,6]=>[2,5,3,7,8,4,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[6,5,4,8,1,2,3,7]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,4,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[2,5,7,3,4,8,6,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[8,4,2,6,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[5,2,7,3,6,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,6,2,4,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,4,2,7,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[5,2,7,3,4,6,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,5,4,7,1,2,3,6]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,7,3,5,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,7,2,6,1,3,4,5]=>[1,3,4,5,2,6,7,8]=>[5,2,3,4,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,3,6,1,2,4,5]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,7,4,6,1,2,3,5]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[5,7,2,4,8,1,3,6]=>[1,3,6,2,4,8,5,7]=>[4,2,5,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,7,3,4,8,1,2,5]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,8,3,5,7,1,2,6]=>[1,2,6,3,5,7,4,8]=>[2,4,7,5,3,6,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[5,8,4,6,7,1,2,3]=>[1,2,3,4,6,7,5,8]=>[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[7,8,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,3,2,5,8,1,4,7]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,4,3,5,8,1,2,7]=>[1,2,7,3,5,8,4,6]=>[2,4,7,5,8,3,6,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,4,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]=>[4,2,7,8,3,5,6,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,7,2,4,6,1,3,5]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,7,3,4,6,1,2,5]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,4,7,2,5,1,3,8]=>[1,3,8,2,5,4,7,6]=>[4,2,6,5,8,7,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[6,4,8,2,5,1,3,7]=>[1,3,7,2,5,4,8,6]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,4,8,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,5,8,2,7,1,3,4]=>[1,3,4,2,7,5,8,6]=>[4,2,3,6,8,5,7,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[7,5,8,2,6,1,3,4]=>[1,3,4,2,6,5,8,7]=>[4,2,3,6,5,8,7,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[7,5,8,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[8,4,7,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[4,2,6,3,5,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,4,7,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,6,7,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,3,2,7,1,6,8]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,3,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,5,3,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[7,5,3,2,6,1,4,8]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,4,3,2,8,1,6,7]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,5,3,2,8,1,4,7]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,6,5,3,8,1,2,4]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[8,6,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[8,7,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[4,2,6,3,5,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,7,4,3,6,1,2,5]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,7,5,3,6,1,2,4]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,7,6,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[4,8,3,7,2,6,1,5]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,8,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,8,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[5,8,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,8,3,7,2,5,1,4]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,8,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,8,4,7,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[6,8,5,7,2,4,1,3]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[6,8,5,7,3,4,1,2]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[7,8,3,6,2,5,1,4]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,8,4,6,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,8,4,6,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,5,3,8,2,7,1,4]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,6,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[8,5,3,7,2,6,1,4]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,5,4,7,2,6,1,3]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,5,4,7,3,6,1,2]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,6,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,7,5,6,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,5,4,3,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,7,6,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[8,1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,1,2,3,8,7,4,6]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[8,1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,1,2,8,7,3,5,6]=>[1,2,8,3,5,6,4,7]=>[2,4,7,5,6,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[4,1,2,7,6,3,8,5]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,1,2,5,6,3,4,7]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,1,2,5,7,3,4,6]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,1,2,7,6,3,4,5]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,1,2,5,6,3,8,4]=>[1,2,5,6,3,8,4,7]=>[2,5,7,3,4,8,6,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[4,1,2,5,8,7,3,6]=>[1,2,5,8,3,6,4,7]=>[2,5,7,3,6,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[3,1,7,2,6,4,8,5]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,1,8,2,6,7,4,5]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,1,5,2,3,8,4,7]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,1,4,2,8,3,6,7]=>[1,4,2,8,3,6,7,5]=>[3,5,2,8,6,7,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,1,4,2,7,3,8,6]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,4,2,6,3,5,7]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,1,4,2,6,3,8,5]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,1,5,2,7,3,4,6]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,1,5,2,6,3,8,4]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,1,4,2,8,7,3,6]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,1,4,2,6,7,8,3]=>[1,4,2,6,7,8,3,5]=>[3,7,2,8,4,5,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,1,8,6,2,7,4,5]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,1,4,5,2,3,6,7]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,1,8,5,2,3,4,6]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[7,1,8,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,1,4,5,2,7,3,6]=>[1,4,5,2,7,3,6,8]=>[4,6,2,3,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,1,6,5,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,1,4,5,2,7,8,3]=>[1,4,5,2,7,8,3,6]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,1,7,5,6,2,8,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,1,4,7,6,2,3,5]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,7,5,6,2,3,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,1,4,5,6,2,8,3]=>[1,4,5,6,2,8,3,7]=>[5,7,2,3,4,8,6,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[3,1,8,5,6,7,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,1,4,5,6,7,2,3]=>[1,4,5,6,7,2,3,8]=>[6,7,2,3,4,5,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,3,1,2,4,5,8,6]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[8,3,1,2,6,4,5,7]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,6,1,2,3,4,8,5]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[5,8,1,2,3,7,4,6]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[8,6,1,2,3,7,4,5]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,4,1,2,8,3,6,7]=>[1,2,8,3,6,7,4,5]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,4,1,2,6,3,8,5]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[8,7,1,2,6,3,4,5]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,7,1,2,6,3,8,4]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,4,1,2,8,7,3,6]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[4,3,1,6,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,3,1,6,2,4,8,5]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[8,3,1,5,2,7,4,6]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,3,1,6,2,7,4,5]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,1,5,2,7,8,4]=>[1,5,2,7,8,3,4,6]=>[3,6,7,2,8,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,4,1,5,2,3,8,6]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,4,1,8,2,3,5,6]=>[1,8,2,3,5,6,4,7]=>[3,4,7,5,6,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,4,1,6,2,3,8,5]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,7,1,5,2,3,4,6]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,7,1,5,2,3,8,4]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,1,5,2,8,3,7]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,4,1,5,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,4,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,8,1,5,2,7,3,4]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,4,1,5,2,7,8,3]=>[1,5,2,7,8,3,4,6]=>[3,6,7,2,8,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,1,8,7,2,5,6]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,3,1,7,6,2,8,5]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,1,7,6,2,4,5]=>[1,7,2,4,5,3,6,8]=>[3,6,4,5,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,3,1,5,6,2,8,4]=>[1,5,6,2,8,3,4,7]=>[4,6,7,2,3,8,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,4,1,5,7,2,3,6]=>[1,5,7,2,3,6,4,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,4,1,7,6,2,3,5]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,8,1,5,6,2,3,4]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,4,1,5,6,2,8,3]=>[1,5,6,2,8,3,4,7]=>[4,6,7,2,3,8,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,1,5,6,8,2,7]=>[1,5,6,8,2,7,3,4]=>[5,7,8,2,3,6,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,1,5,8,7,2,6]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,1,8,6,7,2,5]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,4,1,5,6,7,2,3]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,1,5,6,7,8,2]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,6,4,1,3,8,5,7]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[2,6,4,1,3,7,8,5]=>[1,3,7,8,2,6,4,5]=>[5,2,7,8,6,3,4,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[2,8,7,1,3,4,5,6]=>[1,3,4,5,6,2,8,7]=>[6,2,3,4,5,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[2,8,5,1,3,7,4,6]=>[1,3,7,2,8,4,6,5]=>[4,2,6,8,7,3,5,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[2,6,5,1,3,7,8,4]=>[1,3,7,8,2,6,4,5]=>[5,2,7,8,6,3,4,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[2,7,4,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,8,5,1,7,3,4,6]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[2,7,5,1,6,3,8,4]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,5,4,1,8,7,3,6]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,8,5,1,6,7,3,4]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,5,4,1,6,7,8,3]=>[1,6,7,8,2,5,3,4]=>[5,7,8,6,2,3,4,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,3,4,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,3,5,1,2,4,8,6]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[8,3,5,1,2,7,4,6]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,3,8,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,3,5,1,2,7,8,4]=>[1,2,7,8,3,5,4,6]=>[2,5,7,6,8,3,4,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[7,5,4,1,2,3,8,6]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,7,4,1,2,3,8,5]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,8,5,1,2,3,4,7]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[6,7,5,1,2,3,8,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[8,5,4,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[6,8,4,1,2,7,3,5]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,8,5,1,2,7,3,4]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,4,1,2,7,8,3]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,3,4,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[3,6,7,4,5,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,3,4,1,6,2,8,5]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,3,5,1,7,2,4,6]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,3,8,1,6,2,4,5]=>[1,6,2,4,5,3,8,7]=>[3,6,4,5,2,8,7,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,3,5,1,6,2,8,4]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[8,5,4,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,8,4,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,8,5,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,5,4,1,6,2,8,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,4,1,6,8,2,7]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,4,1,8,7,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,3,5,1,6,7,2,4]=>[1,6,7,2,4,3,5,8]=>[4,6,5,7,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,5,4,1,6,7,2,3]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,4,1,6,7,8,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,3,4,8,1,7,5,6]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,7,6,1,4,8,5]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[2,3,8,5,1,7,4,6]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[2,3,8,6,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,7,4,8,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[5,2,7,3,4,6,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[2,7,8,5,1,3,4,6]=>[1,3,4,6,2,7,8,5]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[2,7,8,6,1,3,4,5]=>[1,3,4,5,2,7,8,6]=>[5,2,3,4,8,6,7,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[2,6,4,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,8,4,5,1,7,3,6]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,8,4,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,8,6,5,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,6,4,5,1,7,8,3]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,3,6,5,1,2,8,4]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,6,4,5,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,3,4,5,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,3,4,5,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,3,4,6,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,3,6,5,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,6,4,5,1,7,2,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,3,4,5,1,7,8,2]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,7,6,1,8,5]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,3,8,5,7,1,4,6]=>[1,4,6,2,3,8,5,7]=>[4,5,2,7,3,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,3,7,5,6,1,8,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[2,8,4,5,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,8,4,5,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[2,7,4,5,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,3,4,5,7,1,2,6]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,3,7,5,6,1,2,4]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,3,4,5,6,1,8,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,3,4,8,6,7,1,5]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,8,4,5,6,7,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,1,2,3,4,5,6,9,7]=>[1,2,3,4,5,6,9,7,8]=>[2,3,4,5,6,8,9,7,1]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[9,1,8,2,3,4,5,6,7]=>[1,8,2,3,4,5,6,7,9]=>[3,4,5,6,7,8,2,9,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[9,1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7,9]=>[3,4,5,6,7,8,2,9,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[3,1,4,5,6,7,8,9,2]=>[1,4,5,6,7,8,9,2,3]=>[8,9,2,3,4,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[2,9,1,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,2,9]=>[8,2,3,4,5,6,7,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,9,8,1,3,4,5,6,7]=>[1,3,4,5,6,7,2,9,8]=>[7,2,3,4,5,6,9,8,1]=>[[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]],.]
[9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,3,4,5,6,1,9,2,8]=>[1,9,2,8,3,4,5,6,7]=>[3,5,6,7,8,9,4,2,1]=>[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.]
[2,3,4,5,6,7,9,1,8]=>[1,8,2,3,4,5,6,7,9]=>[3,4,5,6,7,8,2,9,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[2,3,4,5,6,7,8,9,1]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[3,5,2,6,1,4,8,7]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,5,2,6,4,1,8,7]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[3,5,2,7,4,8,1,6]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,5,2,7,4,8,6,1]=>[1,2,7,3,5,4,8,6]=>[2,4,6,5,8,3,7,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,7,2,3,8,6,1]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[4,5,7,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,6,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,5,1,6,4,2,8,7]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,5,6,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,5,6,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,5,7,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,7,3,2,8,6,1]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[4,6,7,3,8,2,5,1]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,6,7,3,8,2,1,5]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,7,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,5,7,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,5,7,1,3,8,2,6]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[3,5,1,7,4,8,2,6]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[2,1,5,7,4,8,3,6]=>[1,5,7,2,3,6,4,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,5,1,7,4,8,6,2]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,5,7,1,3,8,6,2]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[4,5,7,3,1,8,6,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[4,6,7,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,7,3,8,5,1,2]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,6,7,3,8,5,2,1]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[5,6,7,8,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,6,7,8,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,7,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,1,6,7,8,4,5,3]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,6,1,7,8,4,2,5]=>[1,7,8,2,5,3,6,4]=>[4,6,8,5,7,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,6,7,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,6,7,8,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,7,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,6,7,2,8,1,3,5]=>[1,3,5,2,8,4,6,7]=>[4,2,6,3,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[4,6,7,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,7,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[3,6,2,7,8,4,5,1]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[3,6,2,7,8,1,4,5]=>[1,4,5,2,7,8,3,6]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,5,2,7,1,8,4,6]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[3,4,2,1,7,8,5,6]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,1,2,7,8,6,5]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,2,7,1,8,6,4]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[3,6,2,7,8,5,4,1]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[4,6,7,2,8,5,1,3]=>[1,3,2,8,4,6,7,5]=>[3,2,5,8,6,7,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,6,7,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,5,7,2,1,8,6,3]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[4,5,7,1,2,8,6,3]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[3,5,1,7,2,8,6,4]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,1,5,7,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,6,1,7,8,2,5,4]=>[1,7,8,2,5,3,6,4]=>[4,6,8,5,7,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,6,7,1,8,2,5,3]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,6,7,8,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[5,6,7,8,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,6,7,8,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,7,8,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[5,6,7,8,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,6,7,1,8,5,2,3]=>[1,8,2,3,4,6,7,5]=>[3,4,5,8,6,7,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[2,1,6,7,8,5,3,4]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,7,1,8,5,3,2]=>[1,8,2,3,4,6,7,5]=>[3,4,5,8,6,7,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[5,6,7,8,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[5,6,7,8,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,7,8,4,3,2,1,10,9]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[4,5,6,3,2,1,9,10,8,7]=>[1,9,10,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,10,2,3,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]
[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[6,5,8,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[3,6,7,4,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,6,7,4,5,1,8,3]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,5,4,7,6,2,3,8]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,5,4,7,6,8,1,2]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[5,4,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,4,8,3,7,5,1,2]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,3,8,4,5,7,1,2]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[5,3,4,8,6,7,1,2]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[3,2,5,6,1,8,7,4]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,2,5,6,8,1,7,3]=>[1,7,2,5,6,8,3,4]=>[3,7,8,4,5,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,2,4,8,6,1,7,3]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,2,8,4,5,1,7,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,1,4,5,2,3,6]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,1,8,4,5,2,3,7]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[5,1,4,8,6,2,3,7]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,1,3,8,2,6,4,7]=>[1,3,8,2,6,4,7,5]=>[4,2,6,8,5,7,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[7,8,1,3,2,5,4,6]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,8,2,3,1,5,6,4]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,2,8,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,8,2,1,7,5,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,3,2,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,4,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,5,3,7,1,6,8,4]=>[1,6,8,2,5,3,7,4]=>[4,6,8,5,2,7,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,5,3,7,2,6,4,8]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,5,6,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,5,8,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[5,4,1,8,7,2,3,6]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,4,8,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,8,3,1,2,6,4,5]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,3,1,8,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[4,3,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,2,1,3,8,5,7,6]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[5,2,1,8,3,4,7,6]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[4,3,1,2,6,5,8,7]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,3,1,6,2,4,8,7]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,3,1,5,2,4,8,7]=>[1,5,2,4,8,3,6,7]=>[3,6,4,2,7,8,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[7,3,1,5,2,8,4,6]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,4,5,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[7,4,5,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,4,5,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,4,6,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[2,1,6,5,3,4,8,7]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,6,1,5,2,4,8,7]=>[1,5,2,4,8,3,6,7]=>[3,6,4,2,7,8,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,6,5,1,2,3,8,7]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[5,6,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,5,4,1,2,3,8,7]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,5,4,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[8,6,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,6,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,7,4,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,7,4,1,2,8,3,6]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[4,7,5,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>[2,4,6,8,5,7,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[3,7,1,5,2,8,4,6]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,1,7,5,3,8,4,6]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[3,8,1,5,2,7,4,6]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,8,5,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,8,4,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[6,8,4,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,7,4,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[5,8,6,7,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[4,8,6,1,7,2,3,5]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,8,1,6,7,2,4,5]=>[1,6,7,2,4,5,3,8]=>[4,7,5,6,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,1,8,6,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,1,7,6,8,3,4,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,6,8,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,4,7,1,2,8,3,6]=>[1,2,8,3,6,4,7,5]=>[2,4,6,8,5,7,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,4,6,1,8,2,3,5]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,4,6,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,3,1,6,7,2,4,5]=>[1,6,7,2,4,5,3,8]=>[4,7,5,6,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,3,1,7,8,2,4,5]=>[1,7,8,2,4,5,3,6]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[5,3,1,7,2,8,4,6]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[4,3,1,2,7,8,5,6]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,1,2,8,7,5,6]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[8,4,7,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[5,4,8,1,2,7,3,6]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[4,5,8,1,2,7,3,6]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[3,5,1,8,2,7,4,6]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[2,1,5,8,3,7,4,6]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,1,6,8,7,3,4,5]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,6,8,1,7,2,3,5]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,6,8,7,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[7,5,8,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[8,5,7,6,1,2,3,4]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,7,8,6,1,2,3,4]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[4,7,8,1,6,2,3,5]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[2,1,7,8,6,3,4,5]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,8,7,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,8,7,6,1,2,3,4]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,8,7,5,1,2,3,4]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[6,4,7,3,8,5,1,2]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[5,4,2,7,6,1,8,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,4,3,7,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,4,3,8,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,4,2,6,7,1,8,3]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,3,2,6,1,7,4,8]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,3,2,6,1,7,8,4]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,3,2,6,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,4,2,6,8,1,7,3]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,4,2,8,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,4,2,5,1,6,3]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[5,4,2,8,6,1,3,7]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,3,2,6,1,8,4,7]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,3,2,1,6,8,5,7]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,3,2,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,3,8,2,1,5,4,7]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,8,3,2,1,5,4,6]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,3,2,1,5,6,4]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,3,8,2,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,8,1,6,7,4]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,2,7,1,8,6,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,3,2,7,1,6,8,4]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,7,2,1,5,4,8]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,7,2,1,5,8,4]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,3,7,2,1,8,5,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,4,7,2,8,1,5,3]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,5,7,8,2,1,4,3]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,3,7,2,1,8,4,5]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,3,7,2,1,4,8,5]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,3,2,7,1,4,8,6]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,4,2,8,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,8,4,2,6,1,3,5]=>[1,3,5,2,6,4,7,8]=>[4,2,6,3,5,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,8,3,2,1,6,4,5]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,8,2,1,7,4,5]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,2,8,1,7,4,6]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[4,3,2,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,2,1,7,5,6,8]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,2,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[5,3,2,8,1,4,7,6]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,8,3,2,1,4,6,5]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,3,8,2,1,4,5,7]=>[1,4,5,7,2,3,8,6]=>[5,6,2,3,8,4,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,2,1,5,8,6,7]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,8,5,6,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,8,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,6,8,4,7,2,5,3]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,6,8,3,2,7,5,4]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,1,8,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,8,1,3,2,6,5,4]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,8,3,1,2,6,5,4]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,8,3,4,6,5,1,2]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[7,8,2,4,6,1,5,3]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[7,8,2,3,1,6,5,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,1,8,2,3,7,5,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[1,6,8,2,3,7,5,4]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,5,2,8,3,7,6,4]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,1,2,8,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[5,2,1,8,3,7,6,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,2,8,1,3,7,5,4]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,2,8,3,1,7,5,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,2,8,4,7,1,5,3]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,3,8,4,7,5,1,2]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[2,6,8,3,1,7,5,4]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[2,5,1,8,3,7,6,4]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[1,2,5,8,3,7,6,4]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[2,4,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,5,3,8,1,7,6,4]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,5,4,8,7,1,6,3]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,5,4,8,7,6,1,2]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[5,3,4,8,7,6,1,2]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[5,2,4,8,7,1,6,3]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,2,3,8,1,7,6,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,1,3,8,7,6,5]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,1,2,3,8,7,6,5]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,1,3,2,8,7,6,5]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,3,1,2,8,7,6,5]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,3,8,1,2,7,5,4]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,3,1,8,2,7,6,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[1,5,3,8,2,7,6,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,5,4,8,7,2,6,3]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,1,4,8,7,2,6,3]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,4,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,6,8,7,3,4,1,2]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[5,6,8,7,2,1,4,3]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,5,1,8,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,1,5,8,7,2,6,3]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,1,5,8,2,7,6,4]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,6,8,1,2,7,5,4]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[3,6,8,2,1,7,5,4]=>[1,7,2,3,6,8,4,5]=>[3,4,7,8,5,2,6,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,6,8,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,6,8,3,7,5,1,2]=>[1,2,3,7,4,6,8,5]=>[2,3,5,8,6,4,7,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[4,5,3,8,7,6,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,5,2,8,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,5,2,8,1,7,6,4]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,1,4,2,8,7,6,5]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,1,2,4,8,7,6,5]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,2,5,8,7,1,6,3]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,3,5,8,7,6,1,2]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[3,4,5,8,7,6,1,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,4,5,8,7,1,6,3]=>[1,6,2,4,5,8,3,7]=>[3,7,4,5,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,3,5,8,1,7,6,4]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,1,3,2,6,4,8,7]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,1,3,2,5,4,8,7]=>[1,3,2,5,4,8,6,7]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[7,1,3,2,5,4,8,6]=>[1,3,2,5,4,8,6,7]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[8,1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,1,4,2,5,3,7,6]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[7,1,4,2,5,3,8,6]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,1,4,2,5,3,8,7]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,1,4,2,6,3,8,7]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,1,6,2,5,4,8,7]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,1,6,2,5,3,8,7]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,2,5,1,4,3,8,7]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,2,6,1,4,3,8,7]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,2,7,1,4,3,8,6]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,2,8,1,4,3,7,6]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,2,8,1,4,3,7,5]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,2,7,1,4,3,8,5]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,2,6,1,4,3,8,5]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,2,5,1,4,3,8,6]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,1,7,2,5,3,8,6]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,1,7,3,5,4,8,6]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,1,8,2,5,3,7,6]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[8,2,5,1,4,3,7,6]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,2,6,1,4,3,7,5]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,1,4,3,8,2,6,5]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,1,4,3,7,2,6,5]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,1,5,3,7,2,6,4]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,1,5,3,8,2,6,4]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,2,6,1,5,3,7,4]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,1,8,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,1,8,2,6,3,7,5]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,1,8,2,6,4,7,5]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,1,7,3,6,4,8,5]=>[1,7,2,3,6,4,8,5]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,1,7,2,6,3,8,5]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,1,7,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,2,6,1,5,3,8,4]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,2,7,1,5,3,8,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,8,1,5,3,7,4]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,1,5,2,6,3,7,4]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,1,5,2,7,3,8,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,1,4,2,7,3,8,5]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,4,2,6,3,7,5]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,1,3,2,6,4,7,5]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,1,3,2,6,4,8,5]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,1,3,2,7,4,8,5]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,1,3,2,7,4,8,6]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,1,3,2,7,5,8,6]=>[1,3,2,7,4,5,8,6]=>[3,2,5,6,8,4,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,1,4,2,8,5,7,6]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[5,1,3,2,8,4,7,6]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[6,1,3,2,8,4,7,5]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[8,4,7,1,3,2,6,5]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,4,8,1,3,2,6,5]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,3,8,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,3,7,1,4,2,6,5]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,1,4,2,8,3,7,5]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,1,4,2,8,3,7,6]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,1,5,2,8,3,7,6]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,1,5,2,8,4,7,6]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,1,5,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,1,6,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,1,6,2,8,3,7,4]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,1,5,2,8,3,7,4]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,3,7,1,5,2,6,4]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,3,8,1,5,2,6,4]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,2,7,3,8,1,5,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,8,3,7,1,5,4]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,1,8,3,7,2,6,4]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,1,8,3,7,2,6,5]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,1,8,4,7,2,6,5]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,1,7,4,8,3,6,5]=>[1,7,2,3,6,4,8,5]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[3,1,7,4,8,2,6,5]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,1,7,3,8,2,6,5]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,1,7,3,8,2,6,4]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,3,8,2,6,1,5,4]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,2,6,3,7,1,5,4]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,2,6,3,8,1,5,4]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,3,6,2,4,8,1,7]=>[1,7,2,4,8,3,6,5]=>[3,6,4,8,7,2,5,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[5,7,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,4,2,5,8,3,6,1]=>[1,2,5,8,3,6,4,7]=>[2,5,7,3,6,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[7,4,2,5,8,3,1,6]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,5,2,6,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,5,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,5,6,1,4,8,2,7]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,5,1,6,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,5,6,3,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,4,5,3,8,2,1,6]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,4,5,3,8,2,6,1]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,7,4,8,3,2,5,1]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,7,4,8,3,2,1,5]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,4,1,8,3,2,5]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,4,5,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,7,1,5,8,3,2,6]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,3,7,8,1,4,2,6]=>[1,4,2,6,3,7,8,5]=>[3,5,2,8,4,6,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,5,8,2,4,6,1,3]=>[1,3,2,4,6,5,8,7]=>[3,2,4,6,5,8,7,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[6,7,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,4,8,3,1,5,2]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,4,8,3,5,2,1]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[5,6,7,3,8,4,2,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,6,7,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,1,7,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,7,8,3,1,4,5,2]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,2,8,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,7,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[4,2,6,3,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[5,1,6,7,3,2,8,4]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,6,1,7,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,7,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,7,3,2,8,4,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,6,2,7,3,8,4,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,6,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,1,7,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,7,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,7,3,1,8,2,4,6]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,7,1,5,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,4,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,7,4,2,1,8,3,5]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,7,4,2,8,3,1,5]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,4,2,8,3,5,1]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[3,6,7,2,8,4,5,1]=>[1,2,8,3,6,7,4,5]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[5,7,3,8,2,1,4,6]=>[1,4,6,2,3,8,5,7]=>[4,5,2,7,3,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,4,7,8,2,1,5,6]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,4,7,8,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,7,3,8,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,6,7,2,8,5,1,4]=>[1,4,2,8,3,6,7,5]=>[3,5,2,8,6,7,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,6,7,8,5,2,1,4]=>[1,4,2,3,6,7,8,5]=>[3,4,2,8,5,6,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,7,8,5,2,4,1]=>[1,2,4,3,6,7,8,5]=>[2,4,3,8,5,6,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,4,7,8,2,5,3,1]=>[1,2,5,3,4,7,8,6]=>[2,4,5,3,8,6,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,1,5,7,8,2,6,3]=>[1,5,7,8,2,6,3,4]=>[5,7,8,2,6,3,4,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,4,1,7,8,2,5,3]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,6,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,6,2,7,8,4,3,1]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,7,2,8,4,3,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,6,7,2,1,8,4,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,1,7,2,8,4,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,1,6,7,2,8,4,3]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,7,8,5,2,4,1,3]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,8,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,6,7,8,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,1,6,7,8,4,3,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,6,1,7,8,4,3,2]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,7,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,2,5,1,6,4,7]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,5,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[5,3,2,7,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,2,4,5,8,3,6,1]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[8,2,4,5,6,1,3,7]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[8,1,2,4,5,6,3,7]=>[1,2,4,5,6,3,7,8]=>[2,6,3,4,5,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,5,6,2,1,4,3,7]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,5,3,6,4,1,2,7]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[8,4,1,5,6,3,2,7]=>[1,5,6,2,7,3,4,8]=>[4,6,7,2,3,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,1,4,5,6,3,2,7]=>[1,4,5,6,2,7,3,8]=>[5,7,2,3,4,6,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[4,5,3,7,2,1,8,6]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[7,4,5,8,3,2,6,1]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,3,6,7,2,8,5,1]=>[1,2,8,3,6,7,4,5]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,4,3,6,7,2,8,5]=>[1,4,2,8,3,6,7,5]=>[3,5,2,8,6,7,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,5,3,7,1,8,2,6]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,1,5,3,7,2,8,6]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,3,4,7,1,2,8,6]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[7,5,3,8,4,1,6,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,4,5,8,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[4,3,6,7,8,1,5,2]=>[1,5,2,3,6,7,8,4]=>[3,4,8,2,5,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,6,4,7,8,3,5,2]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,4,7,8,3,5,2,1]=>[1,2,3,5,4,7,8,6]=>[2,3,5,4,8,6,7,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[3,5,6,7,8,4,1,2]=>[1,2,3,5,6,7,8,4]=>[2,3,8,4,5,6,7,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,1,5,6,7,8,4,2]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,6,7,1,4,8,5,2]=>[1,4,8,2,3,6,7,5]=>[4,5,2,8,6,7,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[2,6,7,1,4,8,3,5]=>[1,4,8,2,6,7,3,5]=>[4,7,2,8,5,6,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,3,6,7,8,1,2,5]=>[1,2,5,3,6,7,8,4]=>[2,4,8,3,5,6,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,5,3,6,7,8,2,4]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[3,5,6,7,8,2,1,4]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,5,6,7,8,2,4,1]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[4,5,2,7,8,1,3,6]=>[1,3,6,2,7,8,4,5]=>[4,2,7,8,3,5,6,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[4,2,6,7,8,3,1,5]=>[1,5,2,6,7,8,3,4]=>[3,7,8,2,4,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,2,6,7,8,3,5,1]=>[1,2,6,7,8,3,5,4]=>[2,6,8,7,3,4,5,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[3,6,2,7,4,8,5,1]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[3,6,2,7,4,8,1,5]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,1,6,4,7,8,5]=>[1,6,2,3,4,7,8,5]=>[3,4,5,8,2,6,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,7,4,2,1,5,8,6]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,7,2,1,3,5,8,6]=>[1,3,5,8,2,4,7,6]=>[5,2,6,3,8,7,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[7,8,3,4,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,2,7,1,8,5,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[3,6,2,7,1,8,5,4]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[6,7,3,8,2,5,4,1]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,4,7,8,5,2,3,1]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,6,4,7,8,1,5,3]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,6,2,7,8,1,5,3]=>[1,5,2,7,8,3,4,6]=>[3,6,7,2,8,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,4,5,8,6,2,1,3]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[7,4,1,5,8,6,2,3]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,5,3,8,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[6,3,1,7,8,2,5,4]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,5,6,7,8,4,1,3]=>[1,3,2,5,6,7,8,4]=>[3,2,8,4,5,6,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[1,5,2,6,7,8,4,3]=>[1,5,2,6,7,8,3,4]=>[3,7,8,2,4,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,6,4,7,8,5,2,3]=>[1,6,2,3,4,7,8,5]=>[3,4,5,8,2,6,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,7,8,2,1,5,4,3]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,4,7,8,5,3,1,2]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[4,5,2,3,7,6,1,8]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,4,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[8,4,3,6,5,1,2,7]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[4,6,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[3,2,6,7,4,5,1,8]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,7,2,6,5,3,1,8]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,7,5,4,8,3,6,2]=>[1,7,2,3,6,4,8,5]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,7,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[6,8,5,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,2,8,6,5,1,4,7]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,2,6,5,8,7,3]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,1,6,2,4,8,7,3]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,1,5,4,2,8,7,3]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,1,5,4,8,2,6,3]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,1,5,4,7,6,2,3]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,8,6,7,4,5,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,1,6,7,4,5,2,3]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,1,6,8,4,2,5,3]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,1,7,8,2,4,5,3]=>[1,7,8,2,4,5,3,6]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[5,1,7,2,8,4,6,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[4,1,2,7,8,5,6,3]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,2,1,7,8,5,6,4]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,8,7,1,5,4,6]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,8,2,7,1,5,3,6]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,7,2,1,4,3,6]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,8,7,1,2,4,3,5]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[7,8,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,7,6,8,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,6,7,8,3,4,5,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,6,7,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,6,8,1,3,2,4,5]=>[1,3,2,4,5,6,8,7]=>[3,2,4,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,6,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,6,8,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,5,8,3,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[4,5,2,6,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,5,7,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,5,7,3,8,4,6,2]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,4,3,7,1,5,2,6]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,4,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,5,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,3,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,4,3,1,8,2,6,5]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,4,3,1,7,6,2,5]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,5,8,3,7,6,4,2]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,5,1,3,7,6,2,4]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,5,1,3,8,2,6,4]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[6,5,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,6,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,6,2,1,3,8,7,5]=>[1,3,8,2,4,6,5,7]=>[4,2,5,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[3,2,6,1,4,8,7,5]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,2,7,1,8,4,6,5]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[5,7,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,7,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,6,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,6,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,7,8,6,5,3,4,2]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,7,1,6,5,3,2,4]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,8,1,6,5,2,3,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,1,7,2,5,3,4]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,1,2,7,6,3,4]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,8,2,1,7,6,3,5]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,2,8,1,7,6,4,5]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,2,8,7,6,5,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,1,8,2,7,6,4,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,1,8,7,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,1,8,6,5,2,4,3]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,1,7,6,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,2,6,5,8,7,4]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,1,6,2,4,8,7,5]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,1,5,2,4,8,7,6]=>[1,5,2,4,8,3,6,7]=>[3,6,4,2,7,8,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,5,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,6,1,2,3,8,7,5]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,6,5,3,4,8,7,2]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,1,5,2,4,8,7,3]=>[1,5,2,4,8,3,6,7]=>[3,6,4,2,7,8,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,5,1,2,3,8,7,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,4,1,2,3,8,7,5]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,4,1,2,3,8,7,6]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,4,1,2,7,3,6,8]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[6,4,1,7,2,3,5,8]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,4,1,8,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[7,4,1,2,8,3,6,5]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,5,1,2,8,3,6,4]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,1,5,2,8,4,6,3]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,7,5,3,8,4,6,2]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,1,5,2,7,4,6,3]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,1,2,7,3,6,4]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[8,4,1,2,7,3,6,5]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[8,6,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,1,6,7,2,4,5,3]=>[1,6,7,2,4,5,3,8]=>[4,7,5,6,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,8,6,7,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,7,6,8,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,6,1,8,2,3,5,4]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,7,1,2,8,3,6,5]=>[1,2,8,3,6,4,7,5]=>[2,4,6,8,5,7,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[3,1,7,2,8,4,6,5]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[3,1,2,7,8,5,6,4]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,1,2,8,7,5,6,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[3,1,2,8,7,5,6,4]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[3,1,8,2,7,4,6,5]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[4,8,1,2,7,3,6,5]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,8,1,2,7,3,6,4]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,1,8,2,7,4,6,3]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[1,5,8,3,7,4,6,2]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,6,8,7,3,4,5,2]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,1,7,2,3,5,4]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,8,7,1,2,3,4,5]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,8,7,1]=>[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]
[5,8,7,1,2,3,4,6]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[5,8,6,1,2,3,4,7]=>[1,2,3,4,7,5,8,6]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,7,6,1,2,3,4,8]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[7,8,1,6,2,3,5,4]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[1,7,8,6,3,4,5,2]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,7,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,1,7,6,2,4,5,3]=>[1,7,2,4,5,3,6,8]=>[3,6,4,5,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,7,1,6,2,3,5,4]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,2,5,1,6,4,8,7]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,2,5,3,7,6,8,1]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,2,5,3,7,1,8,6]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[4,2,5,3,6,1,8,7]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,2,5,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,1,5,4,6,2,8,7]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,1,5,3,6,2,8,7]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,5,1,6,2,8,7]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,3,5,2,7,1,8,6]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[4,3,6,2,7,5,8,1]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[4,3,6,2,7,1,8,5]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[4,3,6,1,7,2,8,5]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,3,5,1,7,2,8,6]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,1,5,4,7,2,8,6]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,1,5,4,7,3,8,6]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,1,5,4,7,6,8,2]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,5,1,7,6,8,2]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,3,6,1,7,5,8,2]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,3,6,5,7,1,8,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,3,6,4,7,2,8,1]=>[1,2,8,3,6,4,7,5]=>[2,4,6,8,5,7,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[5,3,6,1,7,4,8,2]=>[1,7,2,3,6,4,8,5]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[3,1,6,4,7,5,8,2]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,6,4,7,5,8,3]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,1,6,3,7,2,8,5]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,1,6,3,7,2,8,4]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,6,1,7,2,8,4]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,3,6,2,7,1,8,4]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[5,3,6,2,7,4,8,1]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,2,6,3,7,4,8,1]=>[1,2,6,3,7,4,8,5]=>[2,4,6,8,3,5,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,2,6,3,7,1,8,4]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,6,1,7,3,8,4]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,2,5,1,7,3,8,6]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,2,6,1,7,3,8,5]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,2,6,3,7,1,8,5]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,2,6,3,7,5,8,1]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,2,6,4,7,5,8,1]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,2,6,4,7,1,8,5]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,2,6,1,7,4,8,5]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,2,4,1,7,5,8,6]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,1,4,2,7,6,8,5]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,5,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,2,6,1,7,5,8,4]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,2,6,5,7,1,8,4]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,2,6,5,7,3,8,1]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,2,6,5,7,1,8,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,2,6,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,2,5,1,7,6,8,3]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,1,5,2,7,6,8,3]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,1,5,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,1,6,2,7,5,8,4]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,1,6,2,7,5,8,3]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,2,6,1,7,4,8,3]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,2,6,4,7,1,8,3]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,6,4,7,3,8,1]=>[1,2,6,3,8,4,7,5]=>[2,4,6,8,3,7,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,4,6,2,7,3,8,1]=>[1,2,7,3,8,4,6,5]=>[2,4,6,8,7,3,5,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[5,4,6,2,7,1,8,3]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[5,4,6,1,7,2,8,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[4,1,6,5,7,2,8,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,1,6,5,7,2,8,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,1,6,5,7,3,8,4]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,1,6,5,7,4,8,2]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,1,6,5,7,3,8,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,4,6,1,7,3,8,2]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,3,5,2,1,6,4,7]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,6,3,5,2,4,1,7]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,7,5,2,4,1,8,6]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[8,2,4,5,7,3,6,1]=>[1,2,4,5,7,3,6,8]=>[2,6,3,4,7,5,8,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[8,2,4,6,5,3,1,7]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,2,5,4,6,1,3,7]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[8,6,3,5,1,4,2,7]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,6,1,4,5,3,2,7]=>[1,4,5,2,7,3,6,8]=>[4,6,2,3,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,1,5,6,4,3,2,7]=>[1,5,6,2,7,3,4,8]=>[4,6,7,2,3,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,7,4,3,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[8,5,7,4,3,2,6,1]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[4,7,6,3,2,8,1,5]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,4,6,7,3,2,8,5]=>[1,4,6,7,2,8,3,5]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,4,7,3,1,8,2,6]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,7,4,5,3,2,8,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,7,5,1,4,2,8,6]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,7,4,2,1,3,8,6]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[8,5,7,4,2,1,6,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,4,1,7,5,3,6,2]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,6,3,8,7,1,5,2]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,7,4,8,6,3,5,2]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,4,7,6,3,5,2,1]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[3,6,5,8,7,4,1,2]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[3,1,5,8,6,7,4,2]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,8,1,6,7,3,5,2]=>[1,6,7,2,3,5,4,8]=>[4,5,7,6,2,3,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,6,4,1,8,7,5,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,7,6,8,1,4,3,5]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,6,4,8,2,5]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,7,3,5,6,8,2,4]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,3,6,7,5,8,2,4]=>[1,3,6,7,2,4,5,8]=>[5,2,6,7,3,4,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,7,6,5,8,2,1,4]=>[1,4,2,3,7,5,8,6]=>[3,4,2,6,8,5,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,5,7,6,8,1,4]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,1,6,5,7,8,3,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,7,6,8,3,1,5]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,6,8,7,3,5,1]=>[1,2,6,8,3,5,4,7]=>[2,5,7,6,3,8,4,1]=>[[.,[[.,[[.,.],.]],[[.,.],.]]],.]
[3,8,2,4,6,7,5,1]=>[1,2,4,6,7,3,8,5]=>[2,6,3,8,4,5,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[3,7,2,6,4,8,1,5]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,6,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,5,7,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,7,8,6,2,1,5,4]=>[1,5,2,3,7,8,4,6]=>[3,4,7,2,8,5,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,7,6,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,4,1,5,7,2,6,3]=>[1,5,7,2,6,3,4,8]=>[4,6,7,2,5,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,3,6,1,7,5,2,4]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[4,6,1,8,7,2,5,3]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,2,6,5,7,4,1,3]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,1,7,8,5,6,4,3]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,2,5,7,6,4,3,1]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,7,6,8,5,4,1,3]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,7,4,8,2,6,5,3]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[2,7,8,6,1,3,5,4]=>[1,3,5,2,7,8,4,6]=>[4,2,7,3,8,5,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,7,6,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,1,5,6,4,3,2]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,1,6,7,5,4,3,2]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,5,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,6,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[5,4,3,6,1,2,8,7]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[3,1,6,4,5,2,8,7]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,3,7,4,5,1,2,6]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,8,7,4,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,8,7,4,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[8,1,7,4,2,6,3,5]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[3,7,8,4,5,1,2,6]=>[1,2,6,3,7,8,4,5]=>[2,4,7,8,3,5,6,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,1,8,7,5,3,4,6]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[2,1,6,8,5,7,3,4]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,3,8,1,7,2,4]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,7,6,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[8,5,7,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,1,8,4,7,6,2,3]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,4,8,3,5,6,7,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,1,8,3,5,6,7,2]=>[1,8,2,3,5,6,7,4]=>[3,4,8,5,6,7,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,8,4,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[2,6,8,3,4,5,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,4,1,3,5,6,7,2]=>[1,3,5,6,7,2,4,8]=>[6,2,7,3,4,5,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,5,8,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,5,3,8,4,1,7,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,5,8,4,6,7,3]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,1,4,8,3,6,7,5]=>[1,4,8,2,3,6,7,5]=>[4,5,2,8,6,7,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[6,4,3,8,2,1,7,5]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,8,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,1,8,2,5,6,7,4]=>[1,8,2,5,6,7,3,4]=>[3,7,8,4,5,6,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,3,8,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[5,6,8,2,3,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,8,2,5,6,7,1]=>[1,2,5,6,7,3,8,4]=>[2,6,8,3,4,5,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,8,2,3,5,6,7,1]=>[1,2,3,5,6,7,4,8]=>[2,3,7,4,5,6,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,8,2,1,5,6,7,4]=>[1,5,6,7,2,3,8,4]=>[5,6,8,2,3,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4,8]=>[2,3,7,4,5,6,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,8,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,1,8,3,4,6,7,5]=>[1,8,2,3,4,6,7,5]=>[3,4,5,8,6,7,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[5,7,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,1,8,4,5,3,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,7,1,4,3,6,2,5]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,8,7,4,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,7,8,4,3,6,2,1]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,6,3,8,4,2,7,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,8,3,6,2,1,7,5]=>[1,7,2,3,6,4,8,5]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,6,3,1,4,2,7,5]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,3,8,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,1,3,2,6,8,7,5]=>[1,3,2,6,8,4,5,7]=>[3,2,6,7,4,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,5,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[8,6,3,5,1,2,7,4]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,8,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,5,3,8,6,2,7,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,7,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,7,6,4,5,8,1,3]=>[1,3,2,7,4,5,8,6]=>[3,2,5,6,8,4,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,7,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,1,7,6,5,8,3,4]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,8,3,5,2,1,7,4]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,8,5,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,4,8,1,5,6,7,2]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,4,2,8,5,6,7,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,4,1,8,5,6,7,3]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[4,1,2,8,5,6,7,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[8,4,2,1,5,6,7,3]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,5,3,2,8,1,7,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,5,3,8,6,7,4]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,3,5,8,1,7,2]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,3,5,4,8,6,1,2]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[8,3,4,1,5,6,7,2]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,3,7,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,3,7,4,5,8,2,1]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,7,2,4,5,8,3,1]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[5,1,7,4,8,6,3,2]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,5,7,4,8,6,3,1]=>[1,2,5,7,3,4,8,6]=>[2,5,6,3,8,4,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,6,3,7,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[3,8,7,4,5,2,1,6]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,7,5,4,8,6,2,1]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,6,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,6,3,5,8,2,7,1]=>[1,2,7,3,5,8,4,6]=>[2,4,7,5,8,3,6,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,6,3,8,1,2,7,5]=>[1,2,7,3,8,4,6,5]=>[2,4,6,8,7,3,5,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[3,2,5,1,6,8,4,7]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,6,2,5,4,8,1,7]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,5,2,4,7,1,8,6]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[3,5,8,2,4,7,6,1]=>[1,2,4,7,3,5,8,6]=>[2,5,3,6,8,4,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[4,2,5,8,3,7,6,1]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[4,2,6,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,4,2,1,6,8,3,7]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,5,1,4,8,2,7]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,6,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,1,6,4,3,8,2,7]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,4,3,8,2,7,6,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,6,2,8,7,5,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[4,3,7,6,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,4,3,1,7,2,8,5]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,5,4,3,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,2,5,8,4,1,3,6]=>[1,3,6,2,5,8,4,7]=>[4,2,7,5,3,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[2,8,5,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[1,5,4,8,7,3,6,2]=>[1,5,2,3,6,4,8,7]=>[3,4,6,2,5,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,4,3,8,1,7,5,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,7,1,8,6,5,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[4,8,3,7,6,5,2,1]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,3,8,7,6,4,2,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,5,3,1,8,6,4,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,8,6,5,3,7,4,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[1,5,8,6,3,7,4,2]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,6,1,8,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,2,8,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,6,2,8,4,1,3,5]=>[1,3,5,2,8,4,6,7]=>[4,2,6,3,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[7,3,1,6,8,4,2,5]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,7,1,6,3,2,8,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,1,7,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,6,5,3,2,1,8,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,3,2,8,7,4,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,2,6,3,8,7,4,1]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,2,7,6,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,5,2,1,7,3,8,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,7,4,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[4,7,2,6,3,1,8,5]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,8,6,2,4,7,5,1]=>[1,2,4,7,3,8,5,6]=>[2,5,3,7,8,4,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,3,6,2,4,1,8,5]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[3,6,7,2,1,4,8,5]=>[1,4,8,2,3,6,7,5]=>[4,5,2,8,6,7,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,3,7,8,2,1,5,6]=>[1,5,6,2,3,7,8,4]=>[4,5,8,2,3,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,6,2,7,1,5,4]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,7,3,6,2,5,4,1]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,7,8,2,1,6,5,3]=>[1,6,2,3,4,7,8,5]=>[3,4,5,8,2,6,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,6,8,1,7,5,3]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,8,1,5,7,2,6,3]=>[1,5,7,2,6,3,4,8]=>[4,6,7,2,5,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,3,7,1,6,2,4]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,8,7,2,6,1,3,4]=>[1,3,4,2,6,5,8,7]=>[4,2,3,6,5,8,7,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[5,1,6,8,2,7,4,3]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,7,1,8,6,4,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,8,2,7,6,4,3,1]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,2,8,7,5,4,3,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,6,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,1,7,2,8,5,4,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,5,1,8,2,6,4,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,8,3,1,6,5,2,4]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,7,4,6,1,5,3,2]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,5,7,1,6,4,3,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,1,7,5,4,3,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,1,8,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,2,3,7,6,1,8]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,4,2,7,3,5,1,8]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,4,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[8,4,2,6,3,1,5,7]=>[1,5,7,2,6,3,4,8]=>[4,6,7,2,5,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,7,6,4,5,1,8]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,7,2,6,3,5,1,8]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[5,7,6,2,3,4,1,8]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[1,7,5,2,8,3,4,6]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[6,8,5,2,3,1,4,7]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,6,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[4,5,2,6,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,2,6,3,1,5,7]=>[1,5,7,2,6,3,4,8]=>[4,6,7,2,5,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,8,6,4,1,5,7]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,1,6,4,8,5,7]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,1,5,2,8,3,4,6]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,8,5,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[1,8,6,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,1,6,7,2,3,4,5]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,1,6,8,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,2,1,7,8,4,5,6]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,8,7,1,4,5,6]=>[1,4,5,6,2,8,3,7]=>[5,7,2,3,4,8,6,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[1,7,6,8,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,8,2,3,1,4,7]=>[1,4,7,2,3,5,8,6]=>[4,5,2,6,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,4,2,8,3,1,5,7]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,5,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,5,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,2,3,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,2,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[7,4,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[3,4,7,5,6,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,4,2,8,7,3,5,6]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[1,5,8,2,7,3,4,6]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,5,1,2,3,8,4,7]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[4,6,2,1,3,8,5,7]=>[1,3,8,2,4,6,5,7]=>[4,2,5,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[3,2,6,1,4,8,5,7]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,2,7,1,8,4,5,6]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,7,2,1,8,3,5,6]=>[1,8,2,3,5,6,4,7]=>[3,4,7,5,6,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,6,1,8,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,6,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,6,8,7,2,3,4,5]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,7,8,6,2,3,4,5]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,1,6,2,3,4,5]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,1,7,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,8,1,7,4,5,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,8,7,4,5,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,1,8,2,7,3,4,6]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[6,1,8,7,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,1,7,6,2,3,4,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,7,6,2,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,3,5,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,3,5,6,1,2,8,7]=>[1,2,8,3,5,6,4,7]=>[2,4,7,5,6,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[6,3,7,5,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,5,2,7,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,5,2,7,4,1,3,6]=>[1,3,6,2,7,4,5,8]=>[4,2,6,7,3,5,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,6,1,5,4,3,8,7]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,4,3,5,1,2,8,7]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[3,4,7,8,5,2,1,6]=>[1,6,2,3,4,7,8,5]=>[3,4,5,8,2,6,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,8,5,7,3,4,6]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[8,6,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,4,8,6,5,7,1,2]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[7,5,4,8,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,5,4,6,7,1,8,3]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,1,6,3,8,5,7,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,7,4,2,8,6,5,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[7,4,1,3,5,8,6,2]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,5,8,4,1,7,3,2]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,4,8,3,7,6,5]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[7,4,3,8,2,1,6,5]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,7,4,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[8,3,1,2,5,7,6,4]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,1,8,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,7,2,3,8,5,6,1]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[3,8,2,1,7,5,6,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,1,3,6,5,7,4]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[8,7,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,8,6,7,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,3,8,7,4,2,6,1]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,3,8,7,2,1,6,5]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,3,6,1,4,2,7,5]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,3,4,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[8,3,5,6,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,3,6,1,8,7,2,4]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[5,6,2,8,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,8,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,8,6,5,4,7,1,3]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[8,1,6,4,5,7,2,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,8,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[2,1,8,6,5,7,3,4]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[2,1,7,5,3,6,8,4]=>[1,7,2,3,6,8,4,5]=>[3,4,7,8,5,2,6,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,7,3,5,2,1,8,4]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,7,4,1,6,5,8,3]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,1,2,8,7,3,5]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[2,4,1,5,8,7,6,3]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,1,2,5,8,6,7,3]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,4,2,1,5,8,7,3]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,5,2,4,6,1,7,3]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,5,3,2,6,8,1,4]=>[1,4,2,6,8,3,5,7]=>[3,6,2,7,4,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,5,3,6,8,7,4]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,3,5,4,6,1,8,2]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[4,3,1,5,7,6,8,2]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,1,4,5,6,8,7,2]=>[1,4,5,6,8,2,3,7]=>[6,7,2,3,4,8,5,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,5,2,6,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,5,2,7,4,1,6,3]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,7,5,2,8,4,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[3,1,6,5,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,3,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[3,6,2,4,1,5,8,7]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[2,6,1,3,5,4,8,7]=>[1,3,5,2,6,4,8,7]=>[4,2,6,3,5,8,7,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[6,7,2,3,4,8,5,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[8,7,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,1,7,3,8,4,6,2]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[2,5,7,3,8,6,4,1]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,6,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[5,6,3,7,4,8,1,2]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[2,1,6,7,4,8,5,3]=>[1,6,7,2,3,4,8,5]=>[4,5,6,8,2,3,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,1,8,7,4,3,6,5]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,8,3,7,4,2,6,1]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,8,7,4,1,2,6,5]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,8,1,3,5,2,6,4]=>[1,3,5,2,6,4,7,8]=>[4,2,6,3,5,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,8,7,3,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,8,6,3,1,5,7,4]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,1,6,3,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[2,8,4,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,1,2,7,6,3,5]=>[1,2,7,3,5,4,8,6]=>[2,4,6,5,8,3,7,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,8,3,5,2,7,4,1]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,1,5,3,8,7,6,4]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,5,3,2,8,7,1,4]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[7,5,2,4,8,1,6,3]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,4,2,8,5,7,6,1]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[2,4,1,8,7,6,5,3]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,4,2,1,7,5,3,6]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,3,1,8,6,7,5,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,1,6,5,4,8,2,3]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,7,5,6,8,4,2,1]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[8,6,2,5,1,7,4,3]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,6,2,1,8,7,3,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,6,2,5,8,3,7,1]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[7,5,2,6,3,8,1,4]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,3,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,6,2,8,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,7,2,8,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,6,8,7,1,5,4,2]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,7,8,6,3,4,1,2]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[7,1,8,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,7,8,4,5,3,6,1]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,7,3,8,1,4,6,2]=>[1,4,6,2,3,8,5,7]=>[4,5,2,7,3,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,5,8,4,6,3,7]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,5,3,8,4,1,2,7]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,5,8,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[2,4,8,3,5,6,1,7]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,1,8,3,6,5,2,7]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[3,4,8,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[3,6,7,4,5,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,1,8,2,4,7,6,5]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[2,3,8,1,4,6,7,5]=>[1,4,6,7,2,3,8,5]=>[5,6,2,8,3,4,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,3,8,2,5,1,7,6]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,3,8,4,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,4,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,8,2,4,3,5,1,7]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,8,2,3,5,1,6,7]=>[1,6,7,2,3,5,4,8]=>[4,5,7,6,2,3,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[3,8,2,1,4,6,5,7]=>[1,4,6,2,3,8,5,7]=>[4,5,2,7,3,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,8,4,1,6,5,3,7]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,4,1,6,5,7,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,7,6,1,4,3,5]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[2,8,5,6,7,4,3,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,5,8,6,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,7,6,1,4,2,8]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[2,8,5,3,4,7,6,1]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[2,8,5,3,4,1,7,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,5,3,4,1,6,7]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,8,5,3,6,1,7,4]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,8,5,6,7,4,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,8,5,3,4,6,1,7]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[3,5,7,2,4,6,1,8]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[6,5,2,7,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,5,2,8,3,1,7,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,2,8,3,1,4,7]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,8,6,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,6,2,1,8,7,4]=>[1,8,2,3,5,6,4,7]=>[3,4,7,5,6,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,5,2,7,3,1,8,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,5,2,6,3,1,7,8]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,1,2,3,7,6,8,5]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,1,2,6,4,8,7,3]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,1,2,8,6,4,7,3]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[5,1,6,8,7,3,4,2]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,2,8,3,7,4,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[4,1,2,3,8,7,5,6]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,1,2,3,8,6,5,7]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[4,1,2,3,8,6,7,5]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,1,2,3,7,6,5,8]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,1,2,3,8,5,7,6]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[6,1,2,8,4,5,7,3]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[5,6,8,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,8,2,4,3,1,7]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,5,8,2,4,3,7,1]=>[1,2,4,3,7,5,8,6]=>[2,4,3,6,8,5,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,5,2,8,3,4,1,6]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,5,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,1,6,7,4,3,2,8]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,1,6,8,4,3,2,5]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,7,8,6,3,4,2,1]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,8,6,7,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[4,1,8,3,6,5,7,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,1,8,3,6,2,7,5]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[3,1,4,8,6,2,7,5]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,1,4,8,6,5,2,7]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,1,6,7,8,3,2,5]=>[1,6,7,8,2,5,3,4]=>[5,7,8,6,2,3,4,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[4,1,6,5,7,3,2,8]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,2,6,3,7,1,8]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,5,2,7,3,8,1,6]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,5,6,2,4,8,7,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[3,5,6,2,4,8,1,7]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,7,5,6,8,4,1,2]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[3,6,5,2,8,1,7,4]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,5,2,6,3,8,4,1]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,1,2,3,5,8,7,6]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[4,5,2,7,3,8,6,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,5,2,6,3,7,8,1]=>[1,2,6,3,7,8,4,5]=>[2,4,7,8,3,5,6,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,8,5,6,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,8,2,1,6,5,3,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,4,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,3,1,4,7,2,5,8]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,8,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,3,5,4,2,1,6]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,8,4,1,2,3,6,5]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,8,3,6,5,4,1,2]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,8,2,1,5,3,4,6]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,2,6,4,1,3,5]=>[1,3,5,2,6,4,7,8]=>[4,2,6,3,5,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,8,1,6,5,4,3,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,1,7,5,4,3,8]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,8,7,5,4,3,6]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[1,3,8,2,6,4,7,5]=>[1,3,8,2,6,4,7,5]=>[4,2,6,8,5,7,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[5,3,6,2,7,4,1,8]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[6,1,2,5,8,7,4,3]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,3,1,8,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,4,2,1,5,3,8,7]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,3,7,5,8,1,2]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,3,8,7,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,3,7,6,4,2,8,5]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,7,5,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,7,2,8,6,4,1,5]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,8,1,7,6,4,5,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,5,7,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,7,5,8,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,5,6,8,2,4,7,3]=>[1,5,6,8,2,4,7,3]=>[5,8,6,2,3,7,4,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[5,6,7,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,5,6,7,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,5,7,6,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[1,5,8,6,2,7,3,4]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,6,5,8,3,2,7,4]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,7,5,6,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[5,1,6,3,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,6,4,3,8,1,2]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[6,3,4,5,8,7,1,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,2,4,1,8,3,7,5]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[6,2,3,5,4,8,1,7]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,1,3,4,5,8,7,2]=>[1,3,4,5,8,2,6,7]=>[6,2,3,4,7,8,5,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[5,1,4,2,7,6,8,3]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,7,2,4,1,6,3,8]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,1,4,2,8,5,3,7]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,7,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,8,7,6,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[5,8,7,6,2,3,1,4]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,1,7,2,6,5,3,8]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,8,2,1,5,6,3,7]=>[1,5,6,2,3,7,4,8]=>[4,5,7,2,3,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,1,8,7,6,5,3,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,1,7,4,5,6,8,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,7,1,6,3,8,5]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,7,5,6,8,1,2]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,8,1,2,5,3,7,6]=>[1,2,5,3,7,4,8,6]=>[2,4,6,3,8,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,8,6,5,2,4,1,7]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[5,3,7,8,2,1,6,4]=>[1,6,2,3,7,8,4,5]=>[3,4,7,8,2,5,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,2,8,7,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,6,7,8,5,1,4,2]=>[1,4,2,3,6,7,8,5]=>[3,4,2,8,5,6,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,7,6,8,5,2,1,4]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,8,6,2,3,5,7]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[4,7,8,6,3,5,1,2]=>[1,2,3,5,4,7,8,6]=>[2,3,5,4,8,6,7,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[3,8,7,6,5,4,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,1,7,6,5,3,4,8]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,1,6,4,5,3,7]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,7,5,1,4,3,6]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[2,7,8,6,5,4,1,3]=>[1,3,2,7,8,4,5,6]=>[3,2,6,7,8,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,5,3,6,1,8,2,4]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[8,5,3,6,1,7,2,4]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[7,3,6,2,4,8,1,5]=>[1,5,2,4,8,3,6,7]=>[3,6,4,2,7,8,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,3,7,1,2,5,8,6]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[5,3,6,7,1,2,8,4]=>[1,2,8,3,6,7,4,5]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,3,7,4,1,2,8,5]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[4,7,1,5,2,3,8,6]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,6,4,2,3,8,1,5]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,7,6,3,8,1,2,5]=>[1,2,5,3,8,4,7,6]=>[2,4,6,3,8,7,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[5,7,4,2,3,8,1,6]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,2,6,1,8,3,4]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,4,7,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[7,4,8,5,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[5,8,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,8,6,1,2,7,4,5]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,8,6,2,4,7,1,5]=>[1,5,2,4,7,3,8,6]=>[3,6,4,2,8,5,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,8,4,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,8,5,3,7,1,2,4]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,8,5,7,1,3,4,6]=>[1,3,4,6,2,8,5,7]=>[5,2,3,7,4,8,6,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[4,8,6,2,7,1,3,5]=>[1,3,5,2,7,4,8,6]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,3,8,5,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[6,3,7,5,8,1,2,4]=>[1,2,4,3,7,5,8,6]=>[2,4,3,6,8,5,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,7,6,4,8,1,3,5]=>[1,3,5,2,7,4,8,6]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[5,4,6,7,2,8,1,3]=>[1,3,2,8,4,6,7,5]=>[3,2,5,8,6,7,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,6,3,7,1,8,2,5]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[3,5,7,1,4,8,2,6]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,3,7,2,4,8,1,6]=>[1,6,2,4,8,3,7,5]=>[3,6,4,8,2,7,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,4,7,3,8,1,2,6]=>[1,2,6,3,8,4,7,5]=>[2,4,6,8,3,7,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,4,6,3,8,1,2,5]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[8,4,6,3,7,1,2,5]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,4,1,6,7,2,3,5]=>[1,6,7,2,3,5,4,8]=>[4,5,7,6,2,3,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,5,3,7,1,8,2,4]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[6,5,1,2,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,3,6,4,7,8,1,2]=>[1,2,3,6,4,7,8,5]=>[2,3,5,8,4,6,7,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,3,7,4,8,5,1,2]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,5,1,2,8,6,3,4]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,5,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,4,1,8,6,2,3,5]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,6,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,6,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,2,8,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,7,8,2,5,1,3]=>[1,3,2,5,4,7,8,6]=>[3,2,5,4,8,6,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,3,7,8,5,1,2,4]=>[1,2,4,3,7,8,5,6]=>[2,4,3,7,8,5,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[3,6,8,2,7,1,4,5]=>[1,4,5,2,7,3,6,8]=>[4,6,2,3,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,8,7,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[2,5,7,3,4,8,6,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[8,3,7,6,1,2,4,5]=>[1,2,4,5,3,7,6,8]=>[2,5,3,4,7,6,8,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[8,4,7,6,1,2,3,5]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[5,4,8,7,1,2,3,6]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[4,6,8,2,7,1,3,5]=>[1,3,5,2,7,4,6,8]=>[4,2,6,3,7,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,5,8,6,4,1,2,3]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[6,8,4,7,5,1,2,3]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[2,8,7,6,1,3,4,5]=>[1,3,4,5,2,8,6,7]=>[5,2,3,4,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[4,8,7,6,1,2,3,5]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[5,6,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[7,5,3,8,2,1,6,4]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,8,7,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,3,8,1,2,6,4]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,1,8,4,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,5,3,1,8,4,7,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,4,3,8,1,5,7,2]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,6,3,1,2,5,7,4]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,7,1,4,2,6,5,3]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,3,8,4,1,6,5,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,3,4,5,6,7,8,1,9]=>[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[2,3,5,6,7,8,9,1,4]=>[1,4,2,3,5,6,7,8,9]=>[3,4,2,5,6,7,8,9,1]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[2,4,5,6,7,8,9,1,3]=>[1,3,2,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,4,5,6,7,8,9,1,2]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,3,4,5,6,7,8,9,10,1]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[2,3,4,5,6,7,8,9,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[2,3,4,5,6,7,1,8,9]=>[1,8,9,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,3,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[2,3,4,5,6,1,9,7,8]=>[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[2,3,4,5,1,8,9,6,7]=>[1,8,9,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,3,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[2,3,1,6,7,8,9,4,5]=>[1,6,7,8,9,2,3,4,5]=>[6,7,8,9,2,3,4,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],.]
[1,4,5,6,7,8,9,2,3]=>[1,4,5,6,7,8,9,2,3]=>[8,9,2,3,4,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[2,4,5,6,7,8,9,10,1,3]=>[1,3,2,4,5,6,7,8,9,10]=>[3,2,4,5,6,7,8,9,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[3,4,5,6,7,8,9,10,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[3,6,4,5,7,2,8,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[8,5,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[8,2,6,3,4,7,1,5]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,2,6,3,4,5,8,1]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,2,7,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,6,2,7,4,5,8,1]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,4,7,6,2,3,8,1]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[6,7,3,5,2,4,8,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[2,7,6,3,4,5,8,1]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,3,1,2,8,4,7]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[8,6,5,2,3,7,1,4]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,5,2,1,7,3,4,6]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,5,2,1,8,3,4,6]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[1,6,3,2,8,4,5,7]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,2,3,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[4,2,6,5,1,8,3,7]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,4,8,6,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,8,3,5,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,8,5,2,3,6,1,4]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,8,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,2,7,3,4,5,6]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,8,1,7,3,4,5,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,8,1,5,7,2,3,6]=>[1,5,7,2,3,6,4,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,8,3,7,1,5,6]=>[1,5,6,2,8,3,7,4]=>[4,6,8,2,3,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,1,7,5,8,2,3,6]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,6,2,7,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[6,3,7,1,2,8,4,5]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[7,2,6,1,8,3,4,5]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,2,6,1,7,3,4,5]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,2,1,5,8,4,6,7]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,5,3,4,6,8,2,7]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,6,3,8,7,1,2]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[3,6,4,5,8,7,1,2]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,5,3,4,8,7,1,2]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[5,3,1,8,7,2,4,6]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[8,5,3,7,6,1,2,4]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,6,8,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[3,7,8,2,4,6,1,5]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,7,3,8,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,2,5,8,7,1,3,6]=>[1,3,6,2,5,8,4,7]=>[4,2,7,5,3,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[7,2,8,6,1,3,4,5]=>[1,3,4,5,2,8,6,7]=>[5,2,3,4,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[2,1,8,7,3,4,5,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,2,8,7,3,4,5,6]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,3,8,7,2,4,5,6]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,7,8,3,6,2,4,5]=>[1,7,8,2,4,5,3,6]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[5,4,8,7,6,1,2,3]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,8,3,7,5,1,2,4]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,8,6,2,5,1,3,4]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,1,6,7,3,2,4,5]=>[1,6,7,2,4,5,3,8]=>[4,7,5,6,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,1,5,3,7,2,4,6]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[7,5,1,3,6,2,4,8]=>[1,3,6,2,4,8,5,7]=>[4,2,5,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,5,8,3,6,2,4,1]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[7,4,8,3,2,6,5,1]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[8,1,4,3,2,6,5,7]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,1,4,3,2,7,5,6]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,4,3,2,7,6,5]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,5,4,6,7,2,3]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,1,5,3,6,2,7,4]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,1,4,3,2,5,7,6]=>[1,4,2,5,7,3,6,8]=>[3,6,2,4,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[7,4,8,3,2,5,6,1]=>[1,2,5,6,3,4,8,7]=>[2,5,6,3,4,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[6,4,3,8,2,5,7,1]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,4,3,1,2,5,8,7]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[7,4,1,3,2,5,8,6]=>[1,3,2,5,8,4,6,7]=>[3,2,6,4,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[7,4,1,3,2,6,8,5]=>[1,3,2,6,8,4,5,7]=>[3,2,6,7,4,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,5,1,3,6,2,8,4]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,5,1,4,6,8,2,3]=>[1,4,6,8,2,3,5,7]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,5,8,3,6,2,1,4]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,4,8,3,2,6,1,5]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,4,8,3,2,5,1,6]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,4,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,4,3,7,2,5,8,1]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[5,4,3,2,8,6,1,7]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,4,3,2,8,7,1,6]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,4,8,7,1,2,3]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,5,4,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,3,1,7,2,8,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,4,3,1,2,7,8,5]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,3,2,1,8,6,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,3,1,8,2,7,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,5,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,4,1,3,2,8,6,5]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,4,1,3,2,8,5,6]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,4,3,1,2,8,5,7]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[6,4,3,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,3,8,2,7,5,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,3,8,7,2,4,1]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[6,5,3,1,7,2,4,8]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,5,3,1,8,2,4,7]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[7,5,1,3,8,2,4,6]=>[1,3,8,2,4,6,5,7]=>[4,2,5,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[7,6,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,8,1,3,2,5,4]=>[1,3,2,5,4,6,8,7]=>[3,2,5,4,6,8,7,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[6,5,3,7,8,2,4,1]=>[1,2,4,3,7,8,5,6]=>[2,4,3,7,8,5,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[6,4,3,7,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,4,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,4,8,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,5,8,3,1,2,6,4]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,5,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,4,3,7,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,5,3,7,1,2,8,4]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,5,4,7,1,8,2,3]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,4,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,4,3,2,6,8,1,7]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,6,2,1,3,4,8,7]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[5,8,2,7,4,1,3,6]=>[1,3,6,2,7,4,5,8]=>[4,2,6,7,3,5,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,6,1,2,5,8,3,4]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,1,7,8,4,3,5,6]=>[1,7,8,2,3,5,6,4]=>[4,5,8,6,7,2,3,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,3,7,4,1,5,6,2]=>[1,5,6,2,3,7,4,8]=>[4,5,7,2,3,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,1,2,5,4,6,3]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,4,1,3,7,6,2,5]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[7,5,1,6,8,3,4,2]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,2,1,8,7,4,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,3,8,6,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[3,4,7,1,8,2,6,5]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,8,2,4,3,5,6,7]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,7,2,4,3,5,6,8]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,6,2,4,3,5,7,8]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,5,2,4,3,6,7,8]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[1,6,2,5,3,4,7,8]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,7,2,5,3,4,6,8]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,8,2,5,3,4,6,7]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,8,2,6,3,4,5,7]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,7,2,6,3,4,5,8]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,8,2,7,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[1,7,2,8,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,6,2,8,3,5,4,7]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[1,5,2,8,3,6,4,7]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,4,2,8,3,6,5,7]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,3,2,8,4,6,5,7]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[1,2,3,8,4,6,5,7]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[1,2,3,7,4,6,5,8]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[1,3,2,7,4,6,5,8]=>[1,3,2,7,4,6,5,8]=>[3,2,5,7,6,4,8,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[1,4,2,7,3,6,5,8]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,5,2,7,3,6,4,8]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,6,2,7,3,5,4,8]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[1,7,2,6,3,5,4,8]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[1,8,2,6,3,5,4,7]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[1,8,2,5,3,6,4,7]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,7,2,5,3,6,4,8]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,6,2,5,3,7,4,8]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,5,2,4,3,7,6,8]=>[1,5,2,4,3,7,6,8]=>[3,5,4,2,7,6,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[1,6,2,4,3,7,5,8]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,7,2,4,3,6,5,8]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[1,8,2,4,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,8,2,3,4,6,5,7]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[1,7,2,3,4,6,5,8]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[1,8,2,3,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[1,8,2,4,3,7,5,6]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[1,7,2,4,3,8,5,6]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,6,2,4,3,8,5,7]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[1,5,2,4,3,8,6,7]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[1,6,2,5,3,8,4,7]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,7,2,5,3,8,4,6]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,8,2,5,3,7,4,6]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[1,8,2,6,3,7,4,5]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,7,2,6,3,8,4,5]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,2,3,8,4,7,5,6]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[1,3,2,8,4,7,5,6]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[1,4,2,8,3,7,5,6]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[1,5,2,8,3,7,4,6]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,6,2,8,3,7,4,5]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,7,2,8,3,6,4,5]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[1,8,2,7,3,6,4,5]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[4,6,3,7,2,5,1,8]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[4,6,3,8,5,1,7,2]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[4,6,3,8,5,1,2,7]=>[1,2,7,3,8,4,6,5]=>[2,4,6,8,7,3,5,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[5,6,8,3,4,1,2,7]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,6,8,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,6,2,7,5,3,1,8]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[5,6,7,2,4,3,1,8]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,6,8,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,8,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,7,8,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,7,8,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,6,8,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,8,2,4,1,7,3]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,6,2,8,5,1,7,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[3,2,6,8,5,1,7,4]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,6,2,8,5,1,3,7]=>[1,3,7,2,8,4,6,5]=>[4,2,6,8,7,3,5,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[5,6,8,2,4,1,3,7]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,6,8,4,2,1,3,7]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,7,8,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[5,7,8,4,1,2,6,3]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,7,8,4,1,2,3,6]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,7,8,1,5,2,3,4]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,7,8,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,7,8,1,5,3,2,4]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,7,8,1,3,5,2,4]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,7,8,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,7,2,8,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[5,7,8,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,7,8,1,3,5,4,2]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,7,8,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,7,8,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,7,8,1,5,4,2,3]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,7,8,1,4,5,2,3]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,8,1,4,5,3,2]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,8,1,4,3,5,2]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,8,1,3,4,5,2]=>[1,3,4,5,2,6,7,8]=>[5,2,3,4,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,7,8,2,1,4,6,3]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,7,2,8,1,5,6,3]=>[1,5,6,2,8,3,4,7]=>[4,6,7,2,3,8,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,2,6,8,4,1,7,5]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,6,2,8,3,1,7,5]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[5,6,8,3,2,1,7,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,8,3,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,7,8,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,7,8,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[4,7,3,8,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,7,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,6,3,8,2,1,7,5]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[4,5,3,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,2,3,8,1,7,6]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,3,2,8,1,6,7]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,3,8,2,1,5,7]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,7,3,8,1,5,2,6]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,7,3,8,1,2,6,5]=>[1,2,6,3,8,4,7,5]=>[2,4,6,8,3,7,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,7,3,8,1,2,5,6]=>[1,2,5,6,3,8,4,7]=>[2,5,7,3,4,8,6,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[5,7,8,3,1,2,4,6]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[5,7,8,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,7,8,3,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,6,8,3,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,7,8,1,5,4,6]=>[1,5,2,7,8,3,4,6]=>[3,6,7,2,8,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,8,2,1,4,3,6]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,7,8,1,3,4,2,5]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,8,1,4,3,2,5]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,8,1,4,2,5,3]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,8,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,8,1,2,5,3,4]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,7,8,1,2,5,4,3]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,7,8,1,2,4,5,3]=>[1,2,4,5,3,6,7,8]=>[2,5,3,4,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[6,7,8,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[3,2,7,8,1,4,6,5]=>[1,4,6,2,7,8,3,5]=>[4,7,2,8,3,5,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,7,8,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,7,8,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[6,7,8,1,2,3,5,4]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,2,8,5,1,6,4,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,2,8,5,4,1,6,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,5,4,3,1,7,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,4,5,6,1,7,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,6,5,7,3,1,4]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[2,8,4,5,3,7,1,6]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,2,8,4,5,6,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,6,3,7,5,2,4,8]=>[1,6,2,4,8,3,7,5]=>[3,6,4,8,2,7,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,2,3,8,5,1,7,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,3,2,8,5,1,4,7]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,4,8,2,5,6,3,1]=>[1,2,5,6,3,4,8,7]=>[2,5,6,3,4,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[7,4,8,5,2,1,3,6]=>[1,3,6,2,4,8,5,7]=>[4,2,5,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,3,7,5,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[4,3,7,5,1,2,8,6]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[3,6,1,7,5,2,8,4]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[3,4,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,4,2,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,2,7,4,1,8,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,3,1,8,6,4,7,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[5,6,1,8,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,3,5,8,2,7,4,1]=>[1,2,7,3,5,8,4,6]=>[2,4,7,5,8,3,6,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,5,8,4,2,3,7,1]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,6,5,7,3,4,2,8]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,5,2,7,4,6,3,8]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,1,8,7,6,3,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,3,4,8,6,1,7,5]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,8,6,5,1,7]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,7,3,5,8,6,1,4]=>[1,4,2,7,3,5,8,6]=>[3,5,2,6,8,4,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,5,4,6,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,4,7,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[3,6,4,8,7,5,2,1]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]
[5,3,6,4,1,8,7,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,3,5,1,8,2,7,4]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[2,6,1,5,8,4,7,3]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,7,6,5,8,3,4,1]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,7,1,6,3,8,4,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,1,4,2,7,8,6,5]=>[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,1,4,7,2,8,6,3]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,6,4,7,8,2,5,1]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[3,1,4,6,8,5,7,2]=>[1,4,6,8,2,3,5,7]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,3,4,5,7,1,8,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[2,5,4,6,1,7,8,3]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,2,1,4,3,6,5,8]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,3,4,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,6,3,2,5,4,1,8]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,7,3,2,5,4,8,1]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,8,4,5,2,3,7,6]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[7,3,5,1,6,2,4,8]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,2,1,6,5,4,3,8]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,3,6,1,5,4,2,8]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,4,6,5,1,3,2,8]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[1,8,5,4,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[1,8,6,4,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[6,5,7,4,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,4,7,5,1,3,8,2]=>[1,3,8,2,4,7,5,6]=>[4,2,5,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[6,3,7,1,5,4,8,2]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,1,7,5,4,8,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,3,8,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,6,8,4,3,7,1,5]=>[1,5,2,6,8,3,7,4]=>[3,6,8,2,4,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,7,8,4,3,6,5,1]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,8,7,4,3,6,5,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[1,8,7,5,6,3,4,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,7,8,5,6,3,4,1]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,6,8,5,7,3,1,4]=>[1,4,2,6,8,3,5,7]=>[3,6,2,7,4,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,8,6,1,7,3,5]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,2,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,2,1,7,6,8,4,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,7,1,6,8,4,2]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,4,7,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[4,5,7,6,8,1,3,2]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[4,6,7,5,8,3,1,2]=>[1,2,3,4,6,7,5,8]=>[2,3,4,7,5,6,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[1,8,5,6,7,2,3,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,7,5,6,8,2,3,1]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,4,6,7,1,8,2,3]=>[1,8,2,3,4,6,7,5]=>[3,4,5,8,6,7,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[5,2,1,6,7,8,3,4]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,1,5,7,3,8,4]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,5,1,7,2,8,4]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,4,5,7,1,2,8,3]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[6,5,4,7,2,1,8,3]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[5,6,4,7,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[1,8,4,6,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[1,8,3,2,6,7,4,5]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,6,3,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,5,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,4,3,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,4,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,6,3,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,7,3,2,8,6,5,1]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[1,8,3,2,7,6,5,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[1,8,4,7,2,6,5,3]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,7,4,8,2,6,5,1]=>[1,2,6,3,7,4,8,5]=>[2,4,6,8,3,5,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,6,4,8,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,5,4,8,2,1,7,6]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,4,5,8,1,2,7,6]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,5,1,8,2,7,6]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[4,2,1,5,8,3,7,6]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,3,6,1,8,7,2,5]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,4,6,8,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,5,6,8,7,1,2,4]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[3,6,5,8,7,2,1,4]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,7,5,8,6,2,4,1]=>[1,2,4,3,7,5,8,6]=>[2,4,3,6,8,5,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[1,8,6,7,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,5,7,8,6,1,4,2]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,4,7,8,1,6,5,2]=>[1,6,2,3,4,7,8,5]=>[3,4,5,8,2,6,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,2,1,7,8,6,5,3]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,8,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,4,8,7,1,6,5,3]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,5,8,7,6,1,4,3]=>[1,4,2,5,8,3,6,7]=>[3,6,2,4,7,8,5,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[2,6,8,7,5,4,1,3]=>[1,3,2,6,8,4,5,7]=>[3,2,6,7,4,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[7,4,6,1,8,3,5,2]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,3,5,1,7,4,6,2]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,3,4,1,7,5,6,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,8,3,1,7,5,6,2]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,6,2,1,7,5,8,3]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[1,7,5,2,6,8,4,3]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,5,2,1,6,8,4,3]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,4,3,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,6,8,4,1,7,5,2]=>[1,7,2,3,6,8,4,5]=>[3,4,7,8,5,2,6,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,5,6,1,8,3,4,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,4,6,5,7,1,8,2]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[4,7,5,6,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,7,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,8,4,1,7,5,3,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,7,5,3,1,8,4,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,4,2,1,6,7,5,3]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,8,4,2,6,7,5,3]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,5,3,2,7,6,8,4]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,2,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,5,3,1,7,6,8,4]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,8,4,1,6,7,5,3]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,7,5,1,6,8,4,3]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,4,6,1,7,5,8,3]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[4,7,1,6,5,8,2,3]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,8,2,6,5,7,1,3]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[5,3,1,2,7,6,8,4]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,2,5,3,7,6,8,4]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,3,1,2,7,6,8,5]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,1,2,7,6,8,4]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,7,1,5,8,2,3,4]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,7,6,1,5,8,3,4]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,3,5,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,6,1,5,8,3,2,4]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,6,7,1,5,8,2,4]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[7,5,1,6,8,4,2,3]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,4,1,6,7,5,2,3]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,2,3,1,7,6,8,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,5,2,1,7,6,8,4]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,3,5,2,7,6,8,4]=>[1,3,5,2,7,4,6,8]=>[4,2,6,3,7,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,6,2,1,5,8,3,4]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,3,1,5,7,6,2,4]=>[1,5,7,2,4,3,6,8]=>[4,6,5,2,7,3,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[6,2,4,1,7,5,8,3]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,1,6,4,8,2,5,3]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[8,2,6,4,7,1,5,3]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,6,2,5,8,3,1,4]=>[1,4,2,5,8,3,6,7]=>[3,6,2,4,7,8,5,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[8,3,5,7,6,2,1,4]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,2,1,3,7,6,8,4]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,5,2,6,8,4,1,3]=>[1,3,2,6,8,4,5,7]=>[3,2,6,7,4,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,1,4,2,7,5,8,3]=>[1,4,2,7,3,5,8,6]=>[3,5,2,6,8,4,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,2,6,5,7,1,4,3]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,8,2,5,7,1,4]=>[1,4,2,5,7,3,6,8]=>[3,6,2,4,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,3,2,5,7,6,1,4]=>[1,4,2,5,7,3,6,8]=>[3,6,2,4,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,1,3,2,7,6,8,4]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,1,3,2,7,6,8,5]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,2,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,4,2,3,7,6,8,5]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,4,1,3,7,6,8,5]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,5,1,3,7,6,8,4]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,8,3,5,7,6,1,4]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[6,8,2,3,5,7,1,4]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,7,1,3,5,8,2,4]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[5,1,2,3,7,6,8,4]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[10,8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,8,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,10,9]=>[2,3,4,5,6,7,8,10,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[8,1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,1,3,5,6,2,7,4]=>[1,3,5,6,2,7,4,8]=>[5,2,7,3,4,6,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,1,3,4,2,6,7,5]=>[1,3,4,2,6,7,5,8]=>[4,2,3,7,5,6,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[8,1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[2,7,8,3,4,5,6,1]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,6,3,8,4,5,7,1]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,3,1,4,2,6,8,5]=>[1,4,2,6,8,3,5,7]=>[3,6,2,7,4,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,4,1,5,6,8,2,3]=>[1,5,6,8,2,3,4,7]=>[5,6,7,2,3,8,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,7,8,5,6,1,2,3]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[3,7,8,4,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[3,5,8,2,4,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,6,2,8,4,5,1,7]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,3,6,7,4,5,8,1]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[3,5,2,4,8,6,1,7]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,5,4,2,8,7,1,6]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,6,5,8,7,1,2,3]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[6,4,5,1,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,4,1,2,3,8,5,6]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,6,4,8,3,7,5,1]=>[1,2,6,3,7,4,8,5]=>[2,4,6,8,3,5,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,6,5,8,7,3,4,1]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,5,2,1,8,3,4,7]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,5,6,7,8,3,4,1]=>[1,2,5,6,7,8,3,4]=>[2,7,8,3,4,5,6,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,4,6,7,3,8,5,1]=>[1,2,4,6,7,3,8,5]=>[2,6,3,8,4,5,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[4,7,8,2,3,1,5,6]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,7,8,3,2,1,6,5]=>[1,6,2,3,4,7,8,5]=>[3,4,5,8,2,6,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,6,4,8,1,7,2,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,3,8,1,2,7,4]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,2,5,3,7,1,6,8]=>[1,6,8,2,5,3,7,4]=>[4,6,8,5,2,7,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,4,6,7,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,4,2,5,6,8,1,7]=>[1,7,2,5,6,8,3,4]=>[3,7,8,4,5,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,2,7,8,6,4,1,3]=>[1,3,2,7,8,4,5,6]=>[3,2,6,7,8,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,1,2,7,8,6,4,3]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,7,1,8,6,5,2,3]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[4,7,1,2,8,6,5,3]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[6,8,7,3,5,1,2,4]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[7,8,1,6,3,5,2,4]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,8,3,6,5,2,1,4]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,7,2,8,6,1,5,3]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,7,3,4,8,6,5,2]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,7,1,8,6,5,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,8,2,3,6,5,1,4]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,5,7,1,6,2,3,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,7,1,2,6,3,4]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,8,2,7,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[4,2,6,3,7,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,2,4,8,7,1,5,3]=>[1,5,2,4,8,3,6,7]=>[3,6,4,2,7,8,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[1,6,8,3,7,4,5,2]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,2,4,8,1,7,5,3]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,8,7,2,3,5,1,4]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,8,2,1,7,3,5,4]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,5,7,2,1,6,3,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,7,1,2,3,6,4]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,7,6,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,5,7,2,3,1,6,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,8,4,2,7,1,6,3]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,8,7,5,3,4,6,2]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[1,8,7,3,5,4,6,2]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,2,5,4,7,1,6,3]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,5,2,7,3,1,6,4]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,6,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[8,7,6,1,2,4,3,5]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,7,6,1,4,2,3,5]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,8,4,7,2,1,6,3]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,8,7,5,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[1,6,8,4,3,7,5,2]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,1,7,3,2,5,4]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,5,7,3,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,5,7,1,3,2,6,4]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,5,7,3,1,2,6,4]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,8,4,7,1,2,6,3]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,8,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,8,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,1,2,6,5,7,4,3]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[4,8,5,7,1,6,2,3]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,5,7,1,2,6,3]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,8,5,1,7,2,6,3]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,5,3,1,7,2,6,4]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,5,3,7,1,2,6,4]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,8,1,3,7,2,5,4]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,6,2,8,1,7,5,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[1,8,7,4,5,3,6,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,8,5,7,2,1,6,3]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,7,6,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,1,3,2,4,5]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,5,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,8,7,4,3,5,6,2]=>[1,8,2,3,5,6,4,7]=>[3,4,7,5,6,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,8,7,3,4,5,6,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,3,1,5,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,3,1,5,2,7,6,4]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,5,4,2,1,7,6,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,4,2,1,3,8,7]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,5,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,5,4,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,5,4,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[8,5,4,1,2,7,6,3]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,7,4,1,6,3,2,5]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,7,4,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,7,4,1,6,5,3,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,4,1,3,7,6,2]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[8,5,4,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,2,5,1,7,6,4]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,1,8,5,3,7,6,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,3,2,5,1,7,4,6]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,5,4,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,7,4,1,6,5,2,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,4,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,7,6,5,2,1,4,3]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,3,2,7,6,4,1,5]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,8,7,6,4,3,5]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,1,8,7,6,4,5,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,2,7,6,4,5,1]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,7,4,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,7,6,5,2,4,3,1]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[8,5,4,2,3,7,6,1]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[8,7,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,7,4,2,6,3,5,1]=>[1,2,6,3,5,4,7,8]=>[2,4,6,5,3,7,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[8,7,4,2,6,3,1,5]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,1,7,6,4,2,5]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,3,1,7,6,4,5,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,1,7,6,5,4,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,1,5,4,7,6,2]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,3,1,5,4,7,2,6]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,1,7,6,5,2,4]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,3,1,7,6,2,5,4]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,7,4,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,4,2,6,5,1,3]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,3,2,5,4,7,1,6]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,3,2,7,6,5,1,4]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,7,4,3,6,5,1,2]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[8,7,6,5,3,1,4,2]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,7,6,5,1,4,3,2]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,5,4,1,3,2]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,3,2,7,6,1,5,4]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,8,7,6,3,5,4]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,3,2,7,6,1,4,5]=>[1,4,5,2,7,3,6,8]=>[4,6,2,3,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,7,6,5,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,7,6,5,1,2,4,3]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,3,5,1,8,4,6,2]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,3,4,1,8,5,6,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,5,6,2,1,8,7,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,6,5,2,7,4,3,8]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,4,3,1,8,6,5,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,5,1,8,4,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,4,1,8,5,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,2,1,8,7,5,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,6,4,2,7,5,3,8]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,3,2,1,8,7,6,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,3,1,7,8,6,4]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,6,4,1,7,8,5,3]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[2,6,5,1,7,8,4,3]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,5,7,1,6,8,2,3]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,1,2,8,4,3,7]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,4,1,2,8,5,3,7]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[5,3,1,2,8,6,4,7]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[4,3,1,2,8,6,5,7]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[7,1,3,4,8,2,5,6]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[7,1,5,6,8,2,3,4]=>[1,5,6,8,2,3,4,7]=>[5,6,7,2,3,8,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,6,1,5,7,8,3,4]=>[1,5,7,8,2,6,3,4]=>[5,7,8,2,6,3,4,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,4,1,6,8,5,2,3]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,2,3,1,8,6,7,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,2,1,5,8,7,3,4]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,3,1,5,8,6,2,4]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,2,1,3,8,7,4,6]=>[1,3,8,2,4,6,5,7]=>[4,2,5,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[7,4,1,3,8,5,2,6]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[7,5,1,3,8,4,2,6]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[4,2,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,1,4,6,8,2,3,5]=>[1,4,6,8,2,3,5,7]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,1,3,5,8,2,4,6]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,1,2,4,8,3,5,7]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[5,2,3,1,6,4,8,7]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,4,5,2,3,1,8,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,6,7,3,5,2,4,1]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[7,3,5,2,4,1,8,6]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,3,5,2,4,1,8,7]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,2,4,1,6,3,8,7]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,1,6,3,5,2,8,7]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[6,3,4,1,5,2,8,7]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,2,6,3,4,1,8,7]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,7,3,4,1,8,6]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,2,8,6,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,2,8,5,7,3,4,1]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[6,2,7,3,4,1,8,5]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,3,4,1,5,2,8,6]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,1,7,3,5,2,8,6]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,1,7,4,5,2,8,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,7,4,5,3,8,6]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,8,6,7,4,5,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,1,8,6,7,3,5,2]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,6,7,3,4,1,5,2]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,5,7,3,4,1,6,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,6,2,7,3,4,1]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,4,7,3,5,1,6,2]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[4,1,8,5,7,3,6,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[3,1,8,5,7,4,6,2]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[2,1,8,5,7,4,6,3]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[2,1,7,4,6,3,8,5]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[3,1,7,4,6,2,8,5]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[4,1,7,3,6,2,8,5]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,1,7,3,6,2,8,4]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,2,7,3,5,1,8,4]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[6,2,8,4,7,3,5,1]=>[1,2,8,3,5,4,7,6]=>[2,4,6,5,8,7,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[8,4,7,3,6,2,5,1]=>[1,2,5,3,6,4,7,8]=>[2,4,6,3,5,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,3,6,2,5,1,8,4]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,2,5,1,7,3,8,4]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,2,4,1,7,3,8,6]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,2,4,1,7,3,8,5]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,5,7,3,6,2,4,1]=>[1,2,4,3,6,5,7,8]=>[2,4,3,6,5,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,5,7,4,6,2,3,1]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[7,4,6,2,3,1,8,5]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[6,2,3,1,7,4,8,5]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,3,1,7,4,8,6]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,3,1,7,5,8,6]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,4,2,8,6,7,5]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,2,3,1,8,5,7,4]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[8,5,6,2,3,1,7,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,4,8,5,6,2,3,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[7,3,8,5,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[8,5,6,2,4,1,7,3]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[5,2,4,1,8,6,7,3]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[4,1,5,2,8,6,7,3]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,1,5,2,8,6,7,4]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,1,6,3,8,5,7,4]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,1,6,2,8,5,7,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,1,6,2,8,5,7,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,4,6,2,5,1,7,3]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,3,8,4,6,2,5,1]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,2,7,3,8,4,5,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,4,5,1,6,2,7,3]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,1,8,4,6,2,7,3]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[4,1,8,5,6,2,7,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[3,1,8,5,6,2,7,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,1,8,5,6,3,7,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[2,1,7,4,8,5,6,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,7,4,8,5,6,2]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,7,3,8,5,6,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,8,4,5,1,6,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,4,5,1,7,3,6,2]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,3,6,2,8,4,5,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[7,8,5,6,1,3,4,2]=>[1,3,4,2,5,6,7,8]=>[4,2,3,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,1,4,7,2,5,8]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,6,1,2,5,7,3,8]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,4,8,2,5,7,3,6]=>[1,4,8,2,5,7,3,6]=>[4,7,2,5,8,6,3,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[7,8,2,4,5,6,1,3]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[7,8,1,5,4,6,3,2]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,2,1,6,3,4,5]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,3,5,6,4,1,2]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[7,8,1,4,2,3,6,5]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,8,5,1,4,2,6,3]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,8,4,5,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,8,4,3,2,7,6]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,6,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,6,4,8,3,7,1,5]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,4,6,8,3,7,5,2]=>[1,4,6,8,2,3,7,5]=>[5,6,2,8,3,7,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,5,8,1,4,7,6,3]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,6,2,4,7,3,8,5]=>[1,6,2,4,7,3,8,5]=>[3,6,4,8,2,5,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,6,2,1,4,7,8,3]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,6,2,5,3,1,8,7]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,7,5,1,3,6,8,2]=>[1,3,6,8,2,4,7,5]=>[5,2,6,8,3,7,4,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,5,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[6,1,7,5,2,4,8,3]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,3,1,2,4,5,8,7]=>[1,2,4,5,8,3,6,7]=>[2,6,3,4,7,8,5,1]=>[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]
[1,4,7,2,5,3,8,6]=>[1,4,7,2,5,3,8,6]=>[4,6,2,5,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,6,7,8,3,5,1,2]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,6,7,5,8,2,4,3]=>[1,6,7,2,4,3,5,8]=>[4,6,5,7,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,5,6,7,8,1,4,2]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,6,5,7,8,2,1,4]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,2,7,6,1,4,3,8]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,7,5,6,8,4,1,3]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,6,8,4,5,3,7]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,7,1,8,5,3,4,6]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[3,7,6,8,5,4,1,2]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,3,8,5,6,7,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[4,2,8,1,6,3,7,5]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,1,8,5,4,6,7,2]=>[1,8,2,3,4,6,7,5]=>[3,4,5,8,6,7,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[3,2,8,4,5,6,1,7]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,2,8,6,1,7,5]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,7,8,1,2,6,5]=>[1,2,6,3,7,8,4,5]=>[2,4,7,8,3,5,6,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,7,3,8,5,2,6,4]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,7,8,6,3,2,1,4]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,6,5,4,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[2,4,5,1,7,8,6,3]=>[1,7,8,2,4,5,3,6]=>[4,7,5,6,8,2,3,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,6,3,4,5,8,1,7]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[2,6,4,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,3,6,4,8,5,1,2]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[7,1,6,5,3,8,4,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,2,5,6,3,8,1,4]=>[1,4,2,5,6,3,8,7]=>[3,6,2,4,5,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,5,2,7,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,6,2,7,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,6,7,4,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,7,6,4,1,8,3,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,7,1,5,2,8,3,4]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,7,5,2,4,8,3,6]=>[1,7,2,4,8,3,6,5]=>[3,6,4,8,7,2,5,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,1,5,2,8,3,4,7]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,7,5,3,8,4,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,6,5,4,2,3,8,7]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,1,5,3,4,2,8,6]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,6,1,5,3,2,8,4]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,5,6,4,1,2,8,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,7,5,4,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,4,6,1,2,5,3,8]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,8,1,4,2,5,7,3]=>[1,4,2,5,7,3,6,8]=>[3,6,2,4,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,6,3,7,5,4,2,8]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,1,3,7,5,4,2]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,3,1,6,4,5,2,8]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,4,2,6,5,1,3,8]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[7,4,6,3,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,8,1,2,3,4,7,5]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,5,7,2,3,8,6,4]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,2,3,7,6,4,1]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,2,8,1,3,7,4,5]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,8,2,3,5,4,7,1]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[6,8,2,4,1,5,7,3]=>[1,5,7,2,4,3,6,8]=>[4,6,5,2,7,3,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,6,3,5,7,1,4,8]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[2,5,1,7,8,3,6,4]=>[1,7,8,2,5,3,6,4]=>[4,6,8,5,7,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,1,4,7,8,5,6,3]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,5,3,7,6,1,8,4]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[2,5,7,8,1,4,6,3]=>[1,4,6,2,5,7,8,3]=>[4,8,2,5,3,6,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,3,4,1,8,6,7,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,2,8,4,6,1,7,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[5,2,1,8,6,3,7,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[4,2,8,6,5,3,7,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[4,2,8,5,7,6,3,1]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[1,4,2,7,5,8,6,3]=>[1,4,2,7,3,5,8,6]=>[3,5,2,6,8,4,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,8,6,7,5,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,3,8,7,6,2,4,1]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[5,8,7,4,3,6,1,2]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,4,2,8,7,1,3,5]=>[1,3,5,2,8,4,6,7]=>[4,2,6,3,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,3,8,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,1,3,8,6,7,2,4]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,5,7,6,4,2,8,3]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,4,8,1,2,7,3,5]=>[1,2,7,3,5,4,8,6]=>[2,4,6,5,8,3,7,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,8,5,1,2,3,7,4]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,8,5,2,4,3,7,1]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[6,8,5,3,1,2,7,4]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,5,1,2,7,6,3,8]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,5,6,1,8,4,7,2]=>[1,8,2,3,5,6,4,7]=>[3,4,7,5,6,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,5,7,1,2,8,6,4]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[4,2,6,1,7,3,5,8]=>[1,7,2,6,3,5,8,4]=>[3,5,8,6,4,2,7,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[4,5,3,1,7,6,2,8]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,4,7,5,6,2,8]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,4,6,5,8,7,1,2]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[3,5,6,2,8,4,7,1]=>[1,2,8,3,5,6,4,7]=>[2,4,7,5,6,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[4,2,5,6,1,8,7,3]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,5,3,1,6,8,7,2]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,1,7,5,8,6,4,3]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,2,7,5,3,8,6,4]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,1,2,7,3,8,6,5]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,1,7,5,2,3,8]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,7,1,2,5,4,8,6]=>[1,2,5,3,7,4,8,6]=>[2,4,6,3,8,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,4,7,5,1,8,6,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,7,4,1,5,8,6,3]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,3,7,1,5,8,6,4]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,2,8,1,3,7,4,6]=>[1,3,7,2,8,4,6,5]=>[4,2,6,8,7,3,5,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[2,8,6,4,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,6,4,8,5,1,7,2]=>[1,7,2,3,6,4,8,5]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,3,7,4,5,1,8,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[2,6,3,7,5,8,1,4]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,7,2,3,6,8,1,5]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,2,7,3,6,8,1,4]=>[1,4,2,7,3,6,8,5]=>[3,5,2,8,6,4,7,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[5,7,4,6,2,8,1,3]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[5,7,3,4,6,1,8,2]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[5,3,8,4,6,1,7,2]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,5,2,4,1,6,7,3]=>[1,6,7,2,4,3,5,8]=>[4,6,5,7,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,2,3,5,1,6,7,4]=>[1,6,7,2,3,5,4,8]=>[4,5,7,6,2,3,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[2,4,8,1,7,3,5,6]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,8,3,1,7,2,5,6]=>[1,7,2,5,6,3,4,8]=>[3,6,7,4,5,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,4,7,3,1,6,2]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,3,8,2,7,1,5,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,1,8,2,4,7,5]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[5,3,8,1,2,6,4,7]=>[1,2,6,3,8,4,7,5]=>[2,4,6,8,3,7,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,7,4,1,6,2,3,8]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,5,4,1,2,6,3,7]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[5,1,8,4,2,7,3,6]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[1,6,2,8,5,3,7,4]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,5,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,4,5,1,2,6,3,7]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,6,3,7,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,2,7,8,5,1,4]=>[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,5,7,8,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,7,2,5,8,1,6,3]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,5,6,8,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,7,3,4,1,2,6]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,8,7,3,4,1,2,5]=>[1,2,5,3,4,6,8,7]=>[2,4,5,3,6,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[6,8,4,7,1,5,3,2]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,8,7,2,6,3,1]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,4,8,7,1,6,3,2]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,8,7,6,1,2,4]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,3,8,7,6,1,2,5]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,8,3,7,5,1,2,6]=>[1,2,6,3,7,4,8,5]=>[2,4,6,8,3,5,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,8,4,7,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[2,4,6,8,3,7,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,4,8,7,6,1,2,5]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,5,8,7,6,1,2,3]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[4,5,8,7,2,6,3,1]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,5,8,2,7,6,4,1]=>[1,2,7,3,5,8,4,6]=>[2,4,7,5,8,3,6,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[3,5,8,1,7,6,4,2]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,5,8,7,1,6,3,4]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[2,4,8,7,1,6,3,5]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,8,4,7,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,2,4,6,1,5,3,7]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[1,8,4,7,2,5,3,6]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,4,8,7,2,6,3,5]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,5,8,7,2,6,3,4]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,5,8,2,7,6,4,3]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,5,8,3,7,6,4,1]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[1,4,2,8,7,6,5,3]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[1,8,3,2,7,5,4,6]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[8,1,3,2,6,5,4,7]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,2,3,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,8,3,1,7,5,4,6]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[2,3,8,1,7,6,4,5]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,1,8,7,6,5,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,2,1,8,7,6,5,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,8,2,1,7,5,4,6]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,3,2,1,6,5,4,7]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,4,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,2,8,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[5,2,8,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,2,8,1,7,6,4,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,8,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,8,2,7,6,4,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,8,3,2,7,5,4,1]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,8,3,1,7,5,4,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,8,2,1,7,5,4,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,8,2,7,1,5,3,4]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,8,7,2,1,4,3,5]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[8,5,6,1,2,4,3,7]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[5,8,7,1,2,4,3,6]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[6,8,1,2,7,5,4,3]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,8,2,3,7,5,4,1]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,2,8,3,7,6,4,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[5,1,8,3,7,6,4,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[5,1,8,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,1,8,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[4,8,1,7,2,5,3,6]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,4,1,6,2,5,3,7]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,3,1,2,6,5,4,7]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,8,1,2,7,5,4,6]=>[1,2,7,3,8,4,6,5]=>[2,4,6,8,7,3,5,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[3,1,8,2,7,6,4,5]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[3,1,2,8,7,6,5,4]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,1,3,8,7,6,5,2]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,1,8,3,7,6,4,5]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[2,8,1,3,7,5,4,6]=>[1,3,7,2,8,4,6,5]=>[4,2,6,8,7,3,5,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[8,1,2,3,6,5,4,7]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,2,8,3,7,6,4,5]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,4,3,6,8,2,5,7]=>[1,4,2,5,7,3,6,8]=>[3,6,2,4,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,1,6,2,5,8,4,7]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,5,1,8,2,4,7,6]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[1,4,2,6,5,8,3,7]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,5,4,2,6,8,3,7]=>[1,5,2,6,8,3,7,4]=>[3,6,8,2,4,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[1,5,2,6,4,8,3,7]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,2,6,5,4,8,3,7]=>[1,2,6,3,7,4,8,5]=>[2,4,6,8,3,5,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,2,5,4,7,3,8,6]=>[1,2,5,3,8,4,7,6]=>[2,4,6,3,8,7,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[4,1,2,6,3,8,7,5]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[7,1,5,4,2,8,3,6]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,1,3,5,2,8,4,6]=>[1,3,5,2,8,4,6,7]=>[4,2,6,3,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[7,2,5,1,8,3,4,6]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,6,4,2,8,3,7,5]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,4,2,8,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[1,2,5,3,8,7,6,4]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,2,8,6,5,3,7,4]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,5,2,8,6,3,7,4]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,6,4,2,8,7,3,5]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[6,2,1,8,7,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,6,2,1,8,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,3,1,6,2,8,4,5]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,7,6,4,2,8,3,5]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,7,5,2,6,3,8,4]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,6,2,7,5,3,8,4]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,2,7,6,5,3,8,4]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,2,6,5,3,8,7,4]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,5,2,6,3,8,7,4]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[1,5,2,7,6,3,8,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,6,5,2,7,3,8,4]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,7,4,2,8,3,6]=>[1,5,7,2,8,3,6,4]=>[4,6,8,2,7,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,1,2,8,6,3,7,5]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[3,1,8,6,2,4,7,5]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[4,3,7,1,8,2,5,6]=>[1,8,2,5,6,3,7,4]=>[3,6,8,4,5,7,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,1,8,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,8,7,3,2,4,6,5]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,4,2,8,7,3,6,5]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,7,4,2,8,3,6,5]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,1,5,4,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,3,1,7,2,4,6]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,6,2,1,7,3,4,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,6,4,2,7,3,5]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[1,8,5,2,6,3,7,4]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,5,2,7,3,8,6,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,2,8,5,3,7,6,4]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,2,6,3,8,7,5,4]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,2,7,6,3,8,5,4]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,6,2,7,3,8,5,4]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,7,2,8,5,3,6,4]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[1,7,4,2,8,6,3,5]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,1,8,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,2,1,8,6,3,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,8,7,3,2,6,4,5]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,4,2,8,7,6,3,5]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[1,2,8,7,5,3,6,4]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,2,8,6,3,7,5,4]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,2,7,3,8,6,5,4]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,1,7,3,6,5,8,2]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,1,8,7,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,1,7,6,3,4,5,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,8,6,2,4,1,3]=>[1,3,2,4,5,7,8,6]=>[3,2,4,5,8,6,7,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[5,7,1,6,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,4,1,5,2,7,3,8]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,1,4,5,3,7,8,2]=>[1,4,5,2,3,7,8,6]=>[4,5,2,3,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[7,1,8,6,3,4,5,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,1,4,5,3,6,7,2]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,4,1,5,2,6,3,8]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,3,5,8,2,1,7,4]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,3,5,7,2,1,8,4]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[8,4,5,7,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,4,5,8,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,8,7,6,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[5,4,8,6,3,1,7,2]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,4,1,8,2,3,7,6]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[5,8,1,6,2,4,3,7]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,4,1,5,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,3,5,8,2,1,4,7]=>[1,4,7,2,3,5,8,6]=>[4,5,2,6,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,4,1,8,6,5,7]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[8,3,5,6,2,1,4,7]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,8,6,1,5,7,4]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,8,6,7,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[4,2,6,3,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[2,3,8,5,6,1,7,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,4,5,6,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,4,5,6,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,5,6,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[2,7,6,8,1,3,5,4]=>[1,3,5,2,7,4,6,8]=>[4,2,6,3,7,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,7,6,5,8,3,1,4]=>[1,4,2,7,3,5,8,6]=>[3,5,2,6,8,4,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,7,5,6,1,4,2,3]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,6,4,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,6,1,3,8,5,7,4]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[2,7,1,3,6,5,8,4]=>[1,3,6,2,7,4,5,8]=>[4,2,6,7,3,5,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,7,6,8,4,3,1,5]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,7,6,1,8,3,4,5]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,7,6,1,4,3,5,8]=>[1,4,2,7,3,5,8,6]=>[3,5,2,6,8,4,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,3,5,1,2,8,4,6]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[7,8,1,6,3,4,2,5]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,4,1,8,3,2,7,5]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,3,8,6,4,1,7,5]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,6,7,4,3,1,5]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,3,5,7,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,3,4,1,8,7,5,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,8,6,1,7,3,4,5]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,8,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[5,6,2,3,8,4,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,8,6,1,4,3,5,7]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[2,1,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,2]=>[9,2,3,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[2,3,4,5,6,7,8,10,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[2,1,3,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,10,2]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[2,3,4,5,6,7,8,9,11,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]],.]
[1,8,2,3,4,5,6,9,7]=>[1,8,2,3,4,5,6,9,7]=>[3,4,5,6,7,9,2,8,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[7,1,2,3,4,5,6,9,8]=>[1,2,3,4,5,6,9,7,8]=>[2,3,4,5,6,8,9,7,1]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[2,1,9,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[2,10,1,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,2,10]=>[9,2,3,4,5,6,7,8,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,1,3,4,5,6,7,8,9,10,11]=>[1,3,4,5,6,7,8,9,10,11,2]=>[11,2,3,4,5,6,7,8,9,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,4,3,6,5,1,7,2]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,5,6,3,4,1,7,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,6,5,4,3,1,7,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,7,6,5,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,6,5,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,7,5,4,1,6,3,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,5,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,8,6,2,4,1,7,3]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,8,2,6,5,1,7,3]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,2,8,6,5,1,7,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,1,7,6,4,5,8]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,3,7,6,2,5,8]=>[1,3,7,2,5,8,4,6]=>[4,2,7,5,8,3,6,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[5,1,7,3,6,2,4,8]=>[1,7,2,4,8,3,6,5]=>[3,6,4,8,7,2,5,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,1,7,5,3,2,4,8]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,1,6,5,2,4,3,8]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[1,2,7,6,3,4,5,8]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,2,8,3,7,4,5,6]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[8,1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[7,1,8,2,6,4,3,5]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[6,1,8,2,4,7,3,5]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[5,1,8,3,2,7,4,6]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[3,2,1,8,4,7,5,6]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[3,2,8,7,1,6,5,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,8,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,6,1,5,4,3,2]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,8,7,2,6,5,3,4]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,7,8,2,5,6,3,4]=>[1,7,8,2,5,6,3,4]=>[4,7,8,5,6,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,6,7,1,4,5,3,2]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,6,8,1,4,3,5,2]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,5,8,3,2,1,7,4]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,5,7,3,1,6,4,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,4,8,2,7,3,6]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,4,3,8,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,4,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>[3,6,7,2,8,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,4,3,1,2,6,5,8]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[8,4,3,1,2,5,7,6]=>[1,2,5,7,3,4,6,8]=>[2,5,6,3,7,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,5,4,2,3,6,7,8]=>[1,5,2,3,6,7,8,4]=>[3,4,8,2,5,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,5,1,4,2,3,7,6]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,1,4,2,6,3,8]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,5,1,4,3,2,7,8]=>[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,6,2,1,5,3,7,8]=>[1,5,2,3,7,8,4,6]=>[3,4,7,2,8,5,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,6,1,5,4,7,8]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,7,1,3,2,6,4,8]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,6,1,2,5,4,3,8]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[8,6,1,2,5,3,7,4]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,7,2,3,6,4,5,8]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,7,1,2,3,6,5,4]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,8,1,2,3,5,6,4]=>[1,2,3,5,6,4,7,8]=>[2,3,6,4,5,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,8,1,2,4,3,7,5]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[4,1,3,2,5,6,7,8]=>[1,3,2,5,6,7,8,4]=>[3,2,8,4,5,6,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,1,2,4,3,6,7,8]=>[1,2,4,3,6,7,8,5]=>[2,4,3,8,5,6,7,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[6,1,2,3,5,4,7,8]=>[1,2,3,5,4,7,8,6]=>[2,3,5,4,8,6,7,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[7,1,2,3,4,6,5,8]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[8,1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[6,7,3,8,5,1,2,4]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[6,7,4,5,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,7,6,8,1,2,3]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,3,7,8,6,1,2,4]=>[1,2,4,3,7,8,5,6]=>[2,4,3,7,8,5,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[3,8,4,5,7,1,2,6]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,4,8,6,7,1,2,5]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,5,6,7,1,8,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,5,6,1,7,8,4,2]=>[1,7,8,2,3,5,6,4]=>[4,5,8,6,7,2,3,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,5,6,1,8,7,4,3]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,5,6,8,1,7,3,4]=>[1,7,2,5,6,8,3,4]=>[3,7,8,4,5,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,4,8,6,2,3,7,5]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[1,5,6,2,8,4,7,3]=>[1,5,6,2,8,3,4,7]=>[4,6,7,2,3,8,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,5,6,3,4,7,8,1]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,4,2,6,8,5,7,3]=>[1,4,2,6,8,3,5,7]=>[3,6,2,7,4,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[8,2,3,1,5,6,4,7]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,8,3,1,5,7,4,6]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,4,1,6,7,8,5,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,7,2,6,4,8,1]=>[1,2,6,3,7,4,8,5]=>[2,4,6,8,3,5,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,7,3,1,5,8,4,2]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,2,1,8,5,4,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,7,2,8,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,8,2,1,4,3,5]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,1,2,8,4,5,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,7,1,3,4,8,5,2]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[5,1,7,3,4,8,6,2]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,8,7,2,3,6,5]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[3,8,1,2,7,4,5,6]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,1,4,5,7,8,6,2]=>[1,4,5,7,8,2,3,6]=>[6,7,2,3,8,4,5,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,1,8,3,4,7,6,5]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[1,8,2,3,4,5,7,6]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[5,2,6,1,4,8,7,3]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,2,6,4,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,7,4,8,6,1,3]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,7,2,3,8,1,6,4]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,2,3,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,2,1,3,8,7,4]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,1,6,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,1,3,2,8,7,4]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,6,3,1,2,8,7,4]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,6,3,2,1,8,7,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,7,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,3,2,8,6,1,4]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[6,7,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,3,8,1,2,5,4]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,7,3,1,8,2,6,4]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,7,1,3,8,2,6,4]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[5,1,7,4,8,2,6,3]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,5,7,4,8,3,6,2]=>[1,5,7,2,3,6,4,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,1,7,4,8,6,2,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,1,3,8,6,2,4]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[6,7,3,8,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,7,8,3,1,4,2,5]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,7,1,8,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,1,7,8,4,5,2,3]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,6,7,8,4,5,3,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,1,7,8,4,2,5,3]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,7,1,8,3,2,5,4]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,7,2,1,8,3,6,4]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,7,2,8,1,3,5,4]=>[1,3,5,2,8,4,6,7]=>[4,2,6,3,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,7,2,8,3,1,5,4]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,2,8,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,2,7,8,4,5,1,3]=>[1,3,2,7,8,4,5,6]=>[3,2,6,7,8,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,2,7,8,4,1,5,3]=>[1,5,2,7,8,3,4,6]=>[3,6,7,2,8,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,7,8,1,4,5,3]=>[1,4,5,2,7,8,3,6]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,2,7,1,8,4,6,3]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[4,2,1,7,8,5,6,3]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,2,7,8,6,5,3]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,2,7,8,1,5,4,3]=>[1,5,2,7,8,3,4,6]=>[3,6,7,2,8,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,7,8,5,1,4,3]=>[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,2,7,8,5,4,1,3]=>[1,3,2,7,8,4,5,6]=>[3,2,6,7,8,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,7,2,8,5,3,1,4]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[5,7,2,1,8,6,3,4]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[5,7,1,2,8,6,3,4]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[5,1,7,2,8,6,4,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,5,7,3,8,6,4,2]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,1,7,8,2,5,4,3]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,7,1,8,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,7,8,2,4,1,3,5]=>[1,3,5,2,4,6,7,8]=>[4,2,5,3,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,7,8,2,4,3,1,5]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,7,1,8,5,2,3,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,6,7,8,5,3,4,2]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,1,7,8,5,4,2,3]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,7,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,7,8,4,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,3,8,5,2,7,4,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,2,8,4,7,3,1]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[6,3,4,5,8,7,2,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[3,6,4,8,5,7,1,2]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[5,1,4,8,6,3,7,2]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,4,7,1,8,6,5,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,3,8,4,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,7,1,6,8,2,4]=>[1,6,8,2,4,3,7,5]=>[4,6,5,8,2,7,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,3,8,5,6,7,2,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,8,1,7,6,2,4,3]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,6,1,2,7,8,5,3]=>[1,2,7,8,3,4,6,5]=>[2,5,6,8,7,3,4,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[3,6,4,2,8,7,5,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,3,7,5,2,8,1,4]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,5,2,7,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,7,1,4,8,3,2,6]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[7,8,3,5,1,4,6,2]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,8,1,4,6,7,2,3]=>[1,4,6,7,2,3,5,8]=>[5,6,2,7,3,4,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,5,8,4,3,7,2,1]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,3,7,4,2,8,5,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[5,3,8,7,4,1,2,6]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,3,8,7,1,5,6,2]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,3,6,1,2,5,7,4]=>[1,2,5,7,3,6,4,8]=>[2,5,7,3,6,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[5,6,1,8,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,4,2,7,3,6,8,1]=>[1,2,7,3,6,8,4,5]=>[2,4,7,8,5,3,6,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[7,5,3,6,4,2,8,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,4,1,5,3,8,2,7]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,2,6,4,7,3,1]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,2,6,3,4,7,5,1]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,2,7,4,3,5,8,1]=>[1,2,7,3,5,8,4,6]=>[2,4,7,5,8,3,6,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,7,3,6,4,2,8,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[3,7,6,4,5,2,8,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,5,4,3,1,8,2,7]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,6,5,4,2,7,3,1]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,5,4,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,5,4,1,8,3,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,7,4,2,1,8,3,6]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,4,6,3,1,8,2,7]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[6,5,8,4,2,7,3,1]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,8,2,6,4,7,3,1]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,8,6,2,5,7,4,1]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[7,8,5,3,2,6,4,1]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,8,3,1,7,2,5,4]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,8,6,3,7,5,2,4]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[8,7,5,2,6,4,3,1]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,7,1,6,2,5,4,3]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,8,1,6,3,2,5,4]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,8,6,1,7,4,5,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,8,5,7,3,6,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[5,1,7,6,8,3,2,4]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,7,3,1,8,4,2,5]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,7,3,8,4,5,2,6]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,7,2,8,5,3,4,6]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,6,1,8,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[8,6,1,7,4,2,5,3]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,1,2,8,3,5,4,6]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[7,2,6,1,8,4,3,5]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[8,2,6,1,7,3,5,4]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[8,3,1,4,7,5,6,2]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,3,1,5,8,4,2,6]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,2,1,5,8,3,6,7]=>[1,5,8,2,3,6,7,4]=>[4,5,8,2,6,7,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,2,7,1,8,3,6]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[5,4,3,1,6,8,2,7]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,7,5,6,8,3,2,1]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[6,5,2,8,7,3,4,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,5,1,8,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,6,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,1,8,3,7,6,2,4]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[5,4,8,1,7,2,6,3]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,5,8,3,2,6,4,1]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,7,3,8,2,6,4,1]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,7,2,8,6,3,5,1]=>[1,2,8,3,5,4,7,6]=>[2,4,6,5,8,7,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[2,3,8,7,4,5,6,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,2,8,6,4,3,5,1]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[2,1,8,7,5,6,3,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,7,6,3,5,4,1]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,1,7,6,5,2,4,3]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,1,8,6,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,2,8,7,6,3,4,5]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,1,6,8,7,4,2,3]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,4,7,5,3,2,1]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[6,8,7,2,5,4,3,1]=>[1,2,5,3,4,6,8,7]=>[2,4,5,3,6,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[3,8,7,6,4,5,2,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,8,7,6,5,3,4,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[1,8,7,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,8,6,7,3,4,1,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[4,8,6,7,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[3,8,6,7,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[2,8,6,7,4,5,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,8,6,7,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,8,5,7,4,6,2,3]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[3,8,5,7,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,8,5,7,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[7,8,3,6,4,5,1,2]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,8,3,7,4,5,1,2]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,8,3,7,4,6,1,2]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[3,7,4,8,5,6,1,2]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,7,3,8,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[4,7,2,8,5,6,1,3]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[4,7,1,8,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[3,7,1,8,5,6,2,4]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[3,7,2,8,5,6,1,4]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[2,7,3,8,5,6,1,4]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,7,4,8,5,6,1,3]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,8,2,7,4,6,1,3]=>[1,3,2,7,4,6,5,8]=>[3,2,5,7,6,4,8,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[6,8,2,7,4,5,1,3]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,8,2,6,4,5,1,3]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,8,1,6,4,5,2,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,1,7,4,5,2,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,8,1,7,4,6,2,3]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[1,7,4,8,5,6,2,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,7,3,8,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,8,5,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,5,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[1,7,3,8,4,6,2,5]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,8,1,7,3,6,2,5]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,1,7,3,6,2,4]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,8,1,7,3,5,2,4]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,8,2,6,3,5,1,4]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,8,2,7,3,5,1,4]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,2,7,3,6,1,4]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[4,8,2,7,3,6,1,5]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,7,3,8,4,6,1,5]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,7,2,8,4,6,1,5]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,7,1,8,4,6,2,5]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[1,8,4,7,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,8,4,7,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,8,4,7,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,8,5,7,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[3,8,5,7,2,6,1,4]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,8,5,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,8,5,7,3,6,2,4]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,8,6,7,3,5,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,8,6,7,3,5,1,4]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,8,6,7,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,8,6,7,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[5,8,6,7,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[6,8,5,7,1,4,2,3]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,8,6,7,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,8,6,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,8,6,7,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[1,5,2,8,6,7,3,4]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,5,1,8,6,7,3,4]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,6,1,8,5,7,3,4]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,6,2,8,5,7,3,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,8,5,7,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,8,4,7,1,5,2,3]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,8,4,6,1,5,2,3]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,3,6,1,5,2,4]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,8,3,7,1,5,2,4]=>[1,5,2,4,3,7,6,8]=>[3,5,4,2,7,6,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[4,8,3,7,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,8,4,7,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,6,2,8,4,7,3,5]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[2,6,1,8,4,7,3,5]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[3,7,2,6,1,8,4,5]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,7,1,6,2,8,4,5]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,1,6,2,7,3,5]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[5,8,1,6,2,7,3,4]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,1,5,2,6,3,4]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,2,5,1,6,3,4]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,8,2,5,1,7,3,4]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,2,6,1,7,3,4]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,8,2,6,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[1,7,3,6,2,8,4,5]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,7,3,6,1,8,4,5]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,8,9,7]=>[2,3,4,5,6,9,7,8,1]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,7,8,9,6]=>[2,3,4,5,9,6,7,8,1]=>[[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.]
[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,6,7,8,9,5]=>[2,3,4,9,5,6,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]],.]
[1,2,3,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,9,4]=>[2,3,9,4,5,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]],.]
[1,2,4,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,9,3]=>[2,9,3,4,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,9,2]=>[9,2,3,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,9,7,8]=>[2,3,4,5,6,8,9,7,1]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,9,10,8]=>[2,3,4,5,6,7,10,8,9,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]],.]
[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,8,9,10,7]=>[2,3,4,5,6,10,7,8,9,1]=>[[.,[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]],.]
[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,7,8,9,10,6]=>[2,3,4,5,10,6,7,8,9,1]=>[[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]],.]
[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,6,7,8,9,10,5]=>[2,3,4,10,5,6,7,8,9,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.]
[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,5,6,7,8,9,10,4]=>[2,3,10,4,5,6,7,8,9,1]=>[[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]],.]
[1,4,3,5,6,7,8,9,2]=>[1,4,2,3,5,6,7,8,9]=>[3,4,2,5,6,7,8,9,1]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[1,2,4,5,6,7,8,9,10,3]=>[1,2,4,5,6,7,8,9,10,3]=>[2,10,3,4,5,6,7,8,9,1]=>[[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[3,2,4,5,6,7,8,9,1]=>[1,2,4,5,6,7,8,9,3]=>[2,9,3,4,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,10,2]=>[10,2,3,4,5,6,7,8,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[6,7,4,8,3,5,1,2]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[6,7,4,5,2,8,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,7,4,6,2,3,1,8]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[5,7,4,6,3,8,1,2]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[5,7,4,8,3,6,1,2]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,8,4,5,3,7,1,2]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,8,4,6,3,7,1,2]=>[1,2,3,7,4,6,5,8]=>[2,3,5,7,6,4,8,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[5,6,4,8,3,7,1,2]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,6,3,7,2,4,1,8]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[5,6,3,7,2,8,1,4]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,6,3,8,2,7,1,4]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,6,4,8,2,7,1,3]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,8,4,6,2,7,1,3]=>[1,3,2,7,4,6,5,8]=>[3,2,5,7,6,4,8,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[6,8,4,5,2,7,1,3]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,8,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[6,8,4,5,2,3,1,7]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,8,4,6,2,3,1,7]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[5,6,4,8,2,3,1,7]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,3,8,2,4,1,7]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[5,6,3,4,2,8,1,7]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,6,3,5,2,7,1,8]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[4,6,3,5,2,8,1,7]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,6,3,8,2,5,1,7]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,8,3,6,2,5,1,7]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,3,6,2,4,1,7]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,8,3,5,2,4,1,7]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,8,3,5,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,8,3,5,2,6,1,4]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,8,3,6,2,7,1,4]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[4,8,3,6,2,7,1,5]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,6,3,8,2,7,1,5]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,6,3,7,2,8,1,5]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,7,3,6,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,7,3,6,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,7,3,8,2,6,1,5]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,7,4,8,2,6,1,3]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[5,7,3,6,2,8,1,4]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,7,3,6,2,4,1,8]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[6,7,3,5,2,4,1,8]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,7,3,5,2,8,1,4]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,7,4,8,2,5,1,3]=>[1,3,2,5,4,8,6,7]=>[3,2,5,4,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,7,5,8,2,4,1,3]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[6,8,5,7,2,3,1,4]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,7,4,8,2,3,1,5]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,3,8,2,4,1,5]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,7,3,4,2,8,1,5]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,7,3,4,2,6,1,8]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,7,3,4,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,4,8,2,3,1,6]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,8,4,7,2,3,1,6]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,4,7,2,3,1,5]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,8,4,6,2,3,1,5]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,3,6,2,4,1,5]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,8,3,7,2,4,1,5]=>[1,5,2,4,3,7,6,8]=>[3,5,4,2,7,6,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,8,3,7,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[4,8,3,7,2,5,1,6]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[4,7,3,8,2,5,1,6]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,7,3,5,2,8,1,6]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,7,3,5,2,6,1,8]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[4,5,3,7,2,6,1,8]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,5,3,7,2,8,1,6]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,5,3,8,2,7,1,6]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,8,3,5,2,7,1,6]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[5,8,3,4,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,3,4,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,8,3,4,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,8,3,4,2,5,1,7]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,3,4,2,6,1,7]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,8,3,5,2,6,1,7]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[4,5,3,8,2,6,1,7]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,5,3,6,2,8,1,7]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,8,5,2,1,7,6,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,6,5,2,1,3,8,7]=>[1,3,8,2,4,6,5,7]=>[4,2,5,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[5,6,4,2,3,1,8,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,5,3,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,4,6,1,3,2,8,7]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,6,8,1,7,3,2,5]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,7,8,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,4,8,1,6,5,3,2]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,4,5,3,1,7,6,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,4,7,1,3,8,2,6]=>[1,3,8,2,6,4,7,5]=>[4,2,6,8,5,7,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[6,4,8,1,7,5,2,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,8,7,2,1,3,4]=>[1,3,4,2,5,6,8,7]=>[4,2,3,5,6,8,7,1]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[8,5,7,6,4,2,1,3]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[6,3,2,8,7,4,1,5]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,1,7,8,6,4,5,3]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,3,2,8,6,4,5,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[7,6,8,5,2,4,3,1]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[5,7,8,6,2,3,1,4]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,8,7,6,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[6,8,7,5,3,2,4,1]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[5,8,4,2,3,7,6,1]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,8,4,2,6,5,3,1]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,6,1,8,7,4,2,5]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,7,1,8,6,4,5,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[3,8,1,6,7,5,2,4]=>[1,6,7,2,4,3,8,5]=>[4,6,5,8,2,3,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,7,1,6,8,2,5,4]=>[1,6,8,2,5,3,7,4]=>[4,6,8,5,2,7,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,7,4,2,8,1,5,3]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,8,4,2,7,5,1,3]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,8,6,7,5,3,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,6,4,3,7,5,1,2]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,6,5,8,1,4,3,2]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[8,6,5,7,4,1,3,2]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[7,6,4,3,8,1,5,2]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,1,7,6,8,3,5,4]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,5,6,8,1,4,2,3]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[6,5,7,8,1,2,4,3]=>[1,2,4,3,5,7,8,6]=>[2,4,3,5,8,6,7,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,2,8,7,4,6,1,3]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[1,6,2,5,4,7,3,8]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[8,1,3,5,4,7,6,2]=>[1,3,5,2,4,7,6,8]=>[4,2,5,3,7,6,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[6,1,5,4,3,8,7,2]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,1,8,3,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[7,1,5,3,4,8,6,2]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,1,4,3,5,6,8,2]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[8,1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2,8]=>[7,2,3,4,5,6,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,2,7,5,1,8,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,5,8,2,4,7,3,1]=>[1,2,4,7,3,5,8,6]=>[2,5,3,6,8,4,7,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[8,5,2,1,4,3,7,6]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,5,2,8,4,1,3,7]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,6,2,1,4,8,3,7]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,6,1,8,5,2,4,7]=>[1,8,2,4,7,3,6,5]=>[3,6,4,8,7,5,2,1]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]
[1,2,6,3,5,4,7,8]=>[1,2,6,3,5,4,7,8]=>[2,4,6,5,3,7,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[3,4,1,2,8,6,5,7]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[3,8,6,7,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,5,6,4,2,1,7,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,2,5,8,3,1,6,4]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,7,5,6,3,2,4,8]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,1,2,3,8,5,7,4]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[7,1,2,3,6,5,8,4]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[7,2,1,3,8,6,4,5]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,2,7,3,1,8,4,6]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[8,7,2,6,3,4,1,5]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,1,8,6,4,2,7,5]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,4,1,3,8,7,5,6]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[8,6,1,3,7,2,4,5]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,8,2,3,4,1,5,7]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,1,8,3,2,4,6,7]=>[1,8,2,4,6,7,3,5]=>[3,7,4,8,5,6,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[2,3,4,5,6,8,9,7,1]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[8,7,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]=>[2,3,4,5,6,7,8,10,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[8,6,7,9,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[8,7,5,6,9,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[2,3,4,5,6,8,9,7,1]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[9,8,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[1,4,2,7,8,6,3,5]=>[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,6,2,4,8,5,3,7]=>[1,6,2,4,8,3,7,5]=>[3,6,4,8,2,7,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[1,6,2,4,7,5,3,8]=>[1,6,2,4,7,3,8,5]=>[3,6,4,8,2,5,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,7,3,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,5,7,8,6,1,3]=>[1,3,2,5,7,8,4,6]=>[3,2,7,4,8,5,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,2,3,1,8,5,6,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,2,5,1,7,3,4,6]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,2,1,8,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,2,8,3,5,1,7,4]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,3,6,4,8,5,7,2]=>[1,3,6,2,4,8,5,7]=>[4,2,5,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,8,2,1,4,3,5,6]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[7,6,4,2,3,1,8,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,7,2,3,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,5,4,2,6,8,1,3]=>[1,3,2,6,8,4,5,7]=>[3,2,6,7,4,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[8,2,5,4,6,7,1,3]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[5,2,6,3,1,8,7,4]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,2,6,4,3,1,7,5]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,2,7,4,1,3,5,6]=>[1,3,5,6,2,7,4,8]=>[5,2,7,3,4,6,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,8,4,1,3,2,5,7]=>[1,3,2,5,7,4,6,8]=>[3,2,6,4,7,5,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,8,7,4,3,2,5,6]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,6,3,8,2,4,7,5]=>[1,6,2,4,7,3,8,5]=>[3,6,4,8,2,5,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,3,8,1,2,7,4,6]=>[1,2,7,3,8,4,6,5]=>[2,4,6,8,7,3,5,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[5,1,8,3,2,6,4,7]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,7,3,1,2,6,4,8]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,7,5,4,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,5,8,4,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[4,6,8,2,7,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,4,6,2,8,3,7,5]=>[1,4,6,2,8,3,7,5]=>[4,6,2,8,3,7,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,6,1,2,8,4,7]=>[1,2,8,3,6,4,7,5]=>[2,4,6,8,5,7,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,7,4,5,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,3,4,1,2,5,8,7]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,3,1,4,2,7,5,8]=>[1,4,2,7,3,5,8,6]=>[3,5,2,6,8,4,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,8,3,2,4,5,6,7]=>[1,8,2,4,5,6,7,3]=>[3,8,4,5,6,7,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,6,3,2,4,1,7,5]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,5,2,6,8,1,7,3]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,2,5,6,7,8,1,3]=>[1,3,2,5,6,7,8,4]=>[3,2,8,4,5,6,7,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,2,3,4,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,6,1,4,3,2,5,7]=>[1,4,2,5,7,3,6,8]=>[3,6,2,4,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,7,5,1,8,2,4,6]=>[1,8,2,4,6,3,7,5]=>[3,6,4,8,5,7,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,1,5,2,8,7,3,6]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,1,2,5,4,6,3,7]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,3,1,6,2,5,4,7]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,1,2,6,4,5,3,7]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,1,2,6,5,4,3,7]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,7,5,4,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[1,4,7,6,2,8,3,5]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,7,4,5,2,8,3,6]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[3,7,5,1,2,8,4,6]=>[1,2,8,3,7,4,6,5]=>[2,4,6,8,7,5,3,1]=>[[.,[[.,[[.,[[.,.],.]],.]],.]],.]
[5,7,2,8,1,3,4,6]=>[1,3,4,6,2,8,5,7]=>[5,2,3,7,4,8,6,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[5,2,8,7,1,3,4,6]=>[1,3,4,6,2,8,5,7]=>[5,2,3,7,4,8,6,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[4,1,5,8,2,7,3,6]=>[1,5,8,2,7,3,6,4]=>[4,6,8,2,7,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,4,2,8,6,7,3,5]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,1,2,6,4,8,7,5]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,1,7,6,3,4,8,5]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,4,2,7,6,8,3,5]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,4,2,6,8,7,3,5]=>[1,4,2,6,8,3,5,7]=>[3,6,2,7,4,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,7,1,8,2,4,6]=>[1,8,2,4,6,3,7,5]=>[3,6,4,8,5,7,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[1,8,7,3,4,2,5,6]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,1,7,8,2,6,4,5]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[2,1,8,6,3,4,7,5]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[1,4,2,6,8,3,7,5]=>[1,4,2,6,8,3,7,5]=>[3,6,2,8,4,7,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,2,3,7,5,8,6,4]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,4,2,7,3,8,6,5]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,1,7,2,8,6,4,5]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,2,3,8,7,5,6,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,1,10,2,3,4,5,6,7,8]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[11,10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[4,7,8,5,6,2,1,3]=>[1,3,2,4,7,8,5,6]=>[3,2,4,7,8,5,6,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[5,7,8,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[6,7,8,4,2,5,1,3]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,6,3,8,2,1,5,4]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,8,3,2,1,5,4]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,7,8,3,2,1,6,4]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,7,8,4,3,5,6,1]=>[1,2,7,8,3,5,6,4]=>[2,5,8,6,7,3,4,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,7,8,3,2,1,5,6]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,7,8,3,2,1,4,6]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,4,8,2,5,1,7]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,6,4,8,3,5,7,1]=>[1,2,6,3,5,7,4,8]=>[2,4,7,5,3,6,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[3,6,4,7,2,5,1,8]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,6,3,7,2,1,5,8]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,6,3,7,2,1,4,8]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[8,4,3,2,1,6,5,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,4,3,2,1,7,5,8]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,5,3,2,7,1,6,8]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,5,4,2,8,6,1,7]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,4,3,2,1,8,5,7]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[7,4,3,2,1,8,5,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,4,3,2,1,7,5,6]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,4,3,2,1,7,6,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,4,3,2,1,8,6,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,3,2,1,8,7,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,6,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,5,3,2,8,1,6,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,5,4,2,7,6,1,3]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,5,4,2,8,6,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,5,4,2,8,7,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,6,5,8,7,2,1,3]=>[1,3,2,4,6,5,8,7]=>[3,2,4,6,5,8,7,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[2,6,5,7,8,3,4,1]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[6,5,4,2,7,8,1,3]=>[1,3,2,7,8,4,5,6]=>[3,2,6,7,8,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[8,5,3,2,6,1,7,4]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,5,3,2,6,1,8,4]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,6,3,7,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[3,6,4,7,2,8,1,5]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,6,4,7,3,8,5,1]=>[1,2,6,3,8,4,7,5]=>[2,4,6,8,3,7,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,5,3,2,7,1,8,6]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,4,3,2,1,6,8,5]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,4,3,2,1,6,7,5]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,4,3,2,1,5,7,6]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,4,3,2,1,5,8,6]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,3,2,1,5,8,7]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,6,3,4,1,2,8,7]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[8,5,3,7,2,6,4,1]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,5,7,4,2,6,3,1]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,1,7,8,5,6,3,4]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,8,3,7,5,1,4,2]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,7,3,8,1,6,2,4]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[3,2,6,4,8,5,1,7]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,5,2,4,1,7,6,8]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,5,2,3,7,1,6,8]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,1,5,4,2,8,6,7]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,1,5,3,8,2,6,7]=>[1,5,2,6,7,3,8,4]=>[3,6,8,2,4,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,2,7,5,1,6,8]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,3,6,2,5,1,7,8]=>[1,7,8,2,5,3,6,4]=>[4,6,8,5,7,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,6,3,2,5,1,7,8]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,6,7,1,3,2,5,8]=>[1,3,2,5,8,4,6,7]=>[3,2,6,4,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[4,5,1,7,3,2,6,8]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,5,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,5,1,4,3,7,8,6]=>[1,4,2,5,3,7,8,6]=>[3,5,2,4,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[5,3,1,4,2,7,6,8]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,3,1,7,5,2,6,8]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,6,3,1,5,2,7,8]=>[1,5,2,7,8,3,4,6]=>[3,6,7,2,8,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,3,6,4,1,2,7,8]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[6,3,4,1,2,7,5,8]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[3,6,4,1,2,7,5,8]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[4,5,2,7,3,1,6,8]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,6,7,2,3,1,5,8]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,6,2,1,7,3,5,8]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,5,2,7,4,6,1,8]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[3,7,2,4,8,5,1,6]=>[1,6,2,4,8,3,7,5]=>[3,6,4,8,2,7,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[7,2,1,4,6,3,8,5]=>[1,4,6,2,3,8,5,7]=>[4,5,2,7,3,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,2,6,1,5,7,4,8]=>[1,5,7,2,6,3,4,8]=>[4,6,7,2,5,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,6,2,1,5,7,4,8]=>[1,5,7,2,3,6,4,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,4,2,1,5,3,7,8]=>[1,5,2,3,7,8,4,6]=>[3,4,7,2,8,5,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,6,1,5,3,7,8]=>[1,5,2,6,3,7,8,4]=>[3,5,8,2,4,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,2,1,7,5,3,6,8]=>[1,7,2,3,6,8,4,5]=>[3,4,7,8,5,2,6,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,4,1,5,6,2,3,8]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,3,1,5,2,6,4,8]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,2,1,5,3,6,8,4]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[6,2,5,1,3,7,8,4]=>[1,3,7,8,2,5,4,6]=>[5,2,7,6,8,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[6,3,5,1,2,7,4,8]=>[1,2,7,3,5,4,8,6]=>[2,4,6,5,8,3,7,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,4,5,1,7,2,3,8]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,6,4,1,3,7,8]=>[1,3,7,8,2,6,4,5]=>[5,2,7,8,6,3,4,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[4,6,5,1,7,2,3,8]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[3,6,5,1,2,7,4,8]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[6,5,2,1,4,7,8,3]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,5,3,1,4,7,2,8]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,3,1,8,5,4,7,6]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[2,4,1,5,3,8,7,6]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,4,5,1,2,8,7,6]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[3,4,5,1,8,2,7,6]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[1,8,4,5,3,2,7,6]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,4,8,5,3,1,7,6]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,4,5,8,2,1,7,6]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,5,2,8,1,7,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,6,2,1,7,5,8]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[3,5,6,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,5,6,2,7,8,1,4]=>[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,4,6,2,8,7,1,5]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,4,6,8,2,7,1,5]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,4,8,6,3,7,1,5]=>[1,5,2,4,8,3,7,6]=>[3,6,4,2,8,7,5,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[1,8,4,6,3,7,2,5]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[3,5,6,2,7,8,4,1]=>[1,2,7,8,3,5,6,4]=>[2,5,8,6,7,3,4,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,5,6,7,2,8,3,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[3,5,6,8,7,2,4,1]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[2,5,8,6,7,3,4,1]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,8,5,6,7,3,4,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,8,5,6,7,3,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,5,8,6,7,3,1,4]=>[1,4,2,5,8,3,6,7]=>[3,6,2,4,7,8,5,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,6,8,7,2,1,4]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,5,6,7,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,4,6,1,8,7,2,5]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,3,1,8,6,7,4,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,8,3,2,6,7,5,4]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,5,1,6,7,8,4,3]=>[1,6,7,8,2,5,3,4]=>[5,7,8,6,2,3,4,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,4,6,1,8,7,5,2]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[2,4,8,6,1,7,5,3]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,8,4,6,2,7,5,3]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[1,8,5,6,7,2,4,3]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,5,8,6,7,1,4,3]=>[1,4,2,5,8,3,6,7]=>[3,6,2,4,7,8,5,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,5,6,8,7,1,4,2]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[4,5,6,7,8,1,3,2]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,7,1,3,8,2]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,5,6,7,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[4,5,6,7,3,1,8,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,8,6,7,4,1,3]=>[1,3,2,5,8,4,6,7]=>[3,2,6,4,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[1,8,5,6,7,4,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,8,5,6,7,4,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,8,6,7,4,3,1]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[8,2,5,3,7,1,6,4]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,2,4,3,7,1,6,5]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,8,2,4,3,7,1,6]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[4,2,5,6,1,8,3,7]=>[1,8,2,5,6,3,7,4]=>[3,6,8,4,5,7,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,3,5,6,7,1,8,2]=>[1,8,2,3,5,6,7,4]=>[3,4,8,5,6,7,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,7,1,5,6,8,2,4]=>[1,5,6,8,2,4,3,7]=>[5,7,6,2,3,8,4,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[3,2,5,1,7,4,6,8]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,2,5,1,8,4,6,7]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,2,5,1,7,8,4,6]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,8,3,2,4,6,1,5]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,1,5,7,8,3,2,4]=>[1,5,7,8,2,4,3,6]=>[5,7,6,2,8,3,4,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[4,2,5,6,1,7,8,3]=>[1,7,8,2,5,6,3,4]=>[4,7,8,5,6,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,7,6,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[5,8,6,1,7,3,4,2]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,1,5,8,7,3,2,4]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[8,7,3,2,4,6,1,5]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[3,2,5,1,8,7,4,6]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,2,5,1,6,4,7,8]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,2,4,1,8,7,5,6]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[3,2,5,1,6,8,7,4]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,8,6,5,1,7,4,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,7,6,5,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,5,1,7,8,4,2,3]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,5,1,6,7,8,4]=>[1,6,7,8,2,5,3,4]=>[5,7,8,6,2,3,4,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,2,4,1,8,5,6,7]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[3,2,4,1,7,5,6,8]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,5,1,7,4,2,3,8]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,1,8,4,2,3,7]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[4,2,6,1,8,3,7,5]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,6,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,4,6,1,7,3,5,2]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,2,6,1,8,4,7,3]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,4,2,3,8,5,1,6]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,5,1,6,4,2,3,8]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,3,2,4,8,6,1,5]=>[1,5,2,4,8,3,6,7]=>[3,6,4,2,7,8,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[8,6,1,5,7,3,2,4]=>[1,5,7,2,4,3,6,8]=>[4,6,5,2,7,3,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[4,2,6,1,8,5,7,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,5,6,1,7,3,4,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,6,8,5,1,7,4,2]=>[1,7,2,3,6,8,4,5]=>[3,4,7,8,5,2,6,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,5,1,6,7,4,2,3]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,5,1,8,6,7,4]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,2,4,1,5,8,6,7]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,2,5,1,7,8,6,4]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,8,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,8,5,1,7,6,4,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,7,5,1,8,6,4,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,7,5,1,6,4,2,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,5,1,8,7,6,4]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,5,7,3,1,8,4,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[4,2,6,1,7,5,3,8]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,4,7,8,3,1,6,2]=>[1,6,2,3,4,7,8,5]=>[3,4,5,8,2,6,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,3,7,5,1,8,6,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,4,3,8,5,1,7,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,8,4,3,6,1,7,2]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,4,8,3,6,1,7,2]=>[1,7,2,3,6,4,8,5]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,5,4,6,1,7,3,8]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[2,5,4,6,8,1,7,3]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,2,8,4,1,6,7,3]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,6,2,1,8,5,7,3]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[2,4,1,7,5,8,6,3]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,4,1,7,5,3,8,6]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,6,4,1,8,5,3,7]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,2,5,6,1,8,4,7]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,8,3,2,6,1,5,7]=>[1,5,7,2,6,3,4,8]=>[4,6,7,2,5,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,5,2,8,1,6,4,7]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[3,2,7,1,5,8,6,4]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,8,3,2,6,7,1,5]=>[1,5,2,6,7,3,4,8]=>[3,6,7,2,4,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,8,2,6,7,1,5]=>[1,5,2,6,7,3,8,4]=>[3,6,8,2,4,5,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,2,6,7,8,1,5]=>[1,5,2,6,7,8,3,4]=>[3,7,8,2,4,5,6,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,7,2,6,8,1,5]=>[1,5,2,6,8,3,7,4]=>[3,6,8,2,4,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,3,7,8,2,6,1,5]=>[1,5,2,6,3,7,8,4]=>[3,5,8,2,4,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,2,5,7,8,1,6,4]=>[1,6,2,5,7,8,3,4]=>[3,7,8,4,2,5,6,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,3,2,7,1,5,8,4]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,3,2,7,8,1,5,4]=>[1,5,2,7,8,3,4,6]=>[3,6,7,2,8,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,6,1,7,8,5,3]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,5,2,1,7,8,4,3]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,7,5,3,8,6,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,2,1,8,5,3,7,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,3,2,7,1,4,8,5]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,3,2,1,4,7,8,5]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,3,2,1,4,7,5,8]=>[1,4,7,2,3,5,8,6]=>[4,5,2,6,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,5,2,1,7,4,6,8]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,8,4,2,1,7,3,6]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,4,1,7,3,8,6,5]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,2,7,1,4,8,6,5]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,5,8,2,1,7,4,6]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,8,3,7,2,1,5,6]=>[1,5,6,2,3,7,4,8]=>[4,5,7,2,3,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,7,2,8,1,5,6]=>[1,5,6,2,8,3,7,4]=>[4,6,8,2,3,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,8,3,2,7,1,5,6]=>[1,5,6,2,7,3,4,8]=>[4,6,7,2,3,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,5,2,8,1,7,4,6]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,3,2,8,1,4,7,5]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,2,1,4,7,5,8,6]=>[1,4,7,2,3,5,8,6]=>[4,5,2,6,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,3,2,1,8,4,6,7]=>[1,8,2,3,4,6,7,5]=>[3,4,5,8,6,7,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[4,8,3,2,1,5,6,7]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,8,2,1,5,6,7]=>[1,5,6,7,2,3,8,4]=>[5,6,8,2,3,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,9,8,7,6,5,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[8,7,6,4,5,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[1,9,8,7,5,6,4,3,2]=>[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[1,10,9,8,7,6,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[10,9,8,7,6,5,4,3,2,1,11]=>[1,11,2,3,4,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,11,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.],.]
[9,8,7,5,6,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[1,10,9,8,6,7,5,4,3,2]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,2,3,4,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,11,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.],.]
[6,2,3,1,5,4,8,7]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,4,5,2,3,1,7,6]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,6,7,2,5,3,4,1]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,2,5,3,4,1,7,6]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,2,5,3,4,1,8,7]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,1,5,2,4,3,8,7]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[6,4,5,1,3,2,8,7]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,1,5,3,4,2,8,7]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,3,5,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[8,3,5,2,4,1,7,6]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,3,7,5,6,2,4,1]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[8,3,7,2,4,1,6,5]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,3,5,1,4,2,7,6]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,5,3,4,2,7,6]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,4,5,1,3,2,7,6]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,8,4,5,3,7,6]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,6,7,4,5,1,3,2]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,6,7,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,6,7,3,5,1,4,2]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,3,7,5,6,1,4,2]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,5,7,3,6,1,4,2]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,3,7,4,6,2,5,1]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,1,7,3,6,4,5,2]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[8,1,7,5,6,3,4,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,8,4,7,5,6,3]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[8,1,7,3,4,2,6,5]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,1,7,3,6,2,5,4]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,3,7,1,6,2,5,4]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,3,7,2,6,4,5,1]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,2,7,3,6,4,5,1]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[8,2,7,3,6,1,5,4]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,2,7,1,6,3,5,4]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[8,1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5,8]=>[3,2,5,7,6,4,8,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[8,1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6,8]=>[3,5,4,2,7,6,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[8,2,7,1,4,3,6,5]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[8,2,7,3,4,1,6,5]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,2,7,5,6,3,4,1]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,4,7,5,6,2,3,1]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[8,4,7,2,3,1,6,5]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,2,3,1,7,4,6,5]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,2,3,1,5,4,7,6]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,2,3,1,8,5,7,6]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[4,1,3,2,8,6,7,5]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[8,6,7,2,3,1,5,4]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,2,3,1,7,5,6,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,5,7,2,6,3,4,1]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,5,7,2,6,1,4,3]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,2,7,5,6,1,4,3]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,6,7,2,5,1,4,3]=>[1,4,2,5,3,6,7,8]=>[3,5,2,4,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[8,6,7,1,5,2,4,3]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[8,6,7,1,3,2,5,4]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[2,1,8,6,7,3,5,4]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,1,8,3,7,5,6,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,1,3,2,7,5,6,4]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[8,1,7,5,6,2,4,3]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[8,1,7,2,6,4,5,3]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,2,7,1,6,4,5,3]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,2,7,4,6,1,5,3]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,2,7,4,6,3,5,1]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[8,4,7,2,6,3,5,1]=>[1,2,6,3,5,4,7,8]=>[2,4,6,5,3,7,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[8,4,7,2,6,1,5,3]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,4,7,1,6,2,5,3]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,1,7,4,6,2,5,3]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,5,7,1,6,2,4,3]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,1,8,5,7,3,6,4]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[8,5,7,1,6,3,4,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,1,7,4,6,3,5,2]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[8,4,7,1,6,3,5,2]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[2,4,8,3,6,1,7,5]=>[1,7,2,4,8,3,6,5]=>[3,6,4,8,7,2,5,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,5,8,1,3,2,7,4]=>[1,3,2,7,4,5,8,6]=>[3,2,5,6,8,4,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,5,8,6,3,2,7,1]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,5,8,7,3,6,2,4]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[1,7,2,8,4,6,5,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[6,7,2,8,4,1,5,3]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,6,2,8,4,5,7,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[2,6,1,8,4,5,7,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,8,4,6,1,5,7,3]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,3,1,8,4,5,7,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[3,1,6,8,4,5,7,2]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,7,8,4,1,5,2]=>[1,5,2,3,7,8,4,6]=>[3,4,7,2,8,5,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,6,7,8,4,2,5,1]=>[1,2,5,3,6,7,8,4]=>[2,4,8,3,5,6,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[7,6,1,8,4,2,5,3]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,6,8,7,3,2,1,4]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[2,8,3,7,1,6,5,4]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,2,8,7,3,6,1,4]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[7,2,1,8,4,6,5,3]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[3,2,7,8,4,6,5,1]=>[1,2,7,8,3,4,6,5]=>[2,5,6,8,7,3,4,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[5,2,7,8,1,4,6,3]=>[1,4,6,2,7,8,3,5]=>[4,7,2,8,3,5,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,2,7,8,5,4,6,3]=>[1,2,7,8,3,4,6,5]=>[2,5,6,8,7,3,4,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[4,2,1,3,8,5,6,7]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,2,5,8,3,4,6,1]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,2,8,5,4,3,1,7]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,8,4,5,3,1,6,7]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,4,8,5,2,3,1,7]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,1,2,8,5,6,7]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[3,4,2,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,7,6,8,4,3,5,1]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,7,1,8,3,4,6,2]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[1,7,5,8,3,4,6,2]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[1,6,8,5,4,3,2,7]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,8,1,4,3,2,7]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,8,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[2,4,8,3,6,5,1,7]=>[1,7,2,4,8,3,6,5]=>[3,6,4,8,7,2,5,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[2,8,4,1,5,6,3,7]=>[1,5,6,2,8,3,7,4]=>[4,6,8,2,3,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,6,8,4,1,3,2,7]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,6,8,1,5,3,2,7]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,6,8,4,5,3,2,7]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,7,3,8,5,4,6,2]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[2,7,3,8,4,6,5,1]=>[1,2,7,3,8,4,6,5]=>[2,4,6,8,7,3,5,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[7,1,3,8,4,6,5,2]=>[1,3,8,2,4,6,5,7]=>[4,2,5,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[5,7,8,4,3,6,1,2]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[2,8,7,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,5,4,3,1,6,7]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,5,8,4,2,3,1,7]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,1,3,2,8,5,6,7]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,4,3,2,8,5,6,7]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[2,8,3,4,5,1,6,7]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,2,8,4,5,3,1,7]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,2,3,8,5,4,6,1]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,2,3,1,8,5,6,7]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,8,1,5,3,4,7,6]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,2,8,4,5,3,7,6]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,4,2,8,5,3,6,7]=>[1,4,2,8,3,6,7,5]=>[3,5,2,8,6,7,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,8,4,2,5,3,6,7]=>[1,8,2,5,3,6,7,4]=>[3,5,8,4,6,7,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,5,1,4,8,2,6,7]=>[1,4,8,2,6,7,3,5]=>[4,7,2,8,5,6,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,2,8,5,4,3,6,7]=>[1,2,8,3,6,7,4,5]=>[2,4,7,8,5,6,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,2,5,4,3,8,6,7]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,2,7,4,8,5,3,6]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[5,1,2,7,4,8,3,6]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[2,8,1,5,4,7,3,6]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,2,8,5,7,4,3,6]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[2,8,1,4,3,7,6,5]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,1,2,8,7,4,3,5]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[6,4,1,2,8,7,3,5]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[3,6,4,8,1,7,2,5]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,6,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[7,1,6,2,8,4,3,5]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[6,7,1,4,2,8,3,5]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[3,7,8,1,5,2,4,6]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[1,7,2,8,4,5,3,6]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,1,2,8,4,3,7,5]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,4,1,2,8,3,7,5]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[1,2,7,3,5,8,4,6]=>[1,2,7,3,5,8,4,6]=>[2,4,7,5,8,3,6,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,2,5,8,7,3,4,6]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,2,5,8,3,7,4,6]=>[1,2,5,8,3,7,4,6]=>[2,5,7,3,8,6,4,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[2,8,1,7,3,5,4,6]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,2,8,1,7,3,6,5]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,8,1,7,4,3,6,5]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,1,2,8,4,3,6,5]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,2,8,4,7,5,3,6]=>[1,2,8,3,6,4,7,5]=>[2,4,6,8,5,7,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[1,2,8,7,4,5,3,6]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[2,8,1,7,5,3,4,6]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,3,7,1,5,2,4,6]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[3,8,6,1,4,7,2,5]=>[1,4,7,2,5,3,8,6]=>[4,6,2,5,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,6,1,4,2,7,3,5]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,1,6,2,7,4,3,5]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,1,2,8,6,4,3,5]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[7,4,1,2,8,6,3,5]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[3,7,4,8,1,6,2,5]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[3,4,8,7,1,6,2,5]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[4,2,8,1,7,6,3,5]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,8,1,7,6,4,3,5]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,8,3,4,1,5,2,6]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,3,4,1,6,2,5]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[6,8,3,4,1,7,2,5]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,7,3,4,1,8,2,5]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,7,3,4,1,8,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,8,3,4,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,8,3,4,1,6,2,7]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,3,4,1,5,2,7]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,7,3,4,1,5,2,8]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,7,3,4,1,6,2,8]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,6,2,8,3,4,1,7]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,2,7,3,4,1,8]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[4,6,2,8,3,5,1,7]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,7,3,5,1,6,2,8]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,8,3,5,1,6,2,7]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[4,8,3,5,1,7,2,6]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[4,7,3,5,1,8,2,6]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[5,6,2,3,1,7,4,8]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,2,4,1,8,3,7]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[5,6,2,4,1,7,3,8]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[4,6,2,5,1,7,3,8]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,6,2,5,1,8,3,7]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[4,5,1,8,3,7,2,6]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,5,1,7,3,8,2,6]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,6,2,7,3,8,1,5]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,6,2,7,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,6,2,7,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,6,3,8,4,7,1,2]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[5,6,2,8,4,7,1,3]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[5,6,2,8,3,7,1,4]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,6,2,8,3,7,1,5]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,5,1,7,3,6,2,8]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,5,1,8,3,6,2,7]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[9,2,1,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,2,9]=>[8,2,3,4,5,6,7,9,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[10,2,1,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,2,10]=>[9,2,3,4,5,6,7,8,10,1]=>[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[4,2,3,5,6,7,8,9,1]=>[1,2,3,5,6,7,8,9,4]=>[2,3,9,4,5,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]],.]
[3,2,4,5,6,7,8,9,10,1]=>[1,2,4,5,6,7,8,9,10,3]=>[2,10,3,4,5,6,7,8,9,1]=>[[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[2,3,4,5,6,7,8,9,10,11,1]=>[1,2,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]
[4,6,3,5,2,1,8,7]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[8,7,3,5,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,8,2,4,5,7,3,1]=>[1,2,4,5,7,3,6,8]=>[2,6,3,4,7,5,8,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,3,8,4,5,7,2,1]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[5,8,7,4,3,6,2,1]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[2,8,7,4,3,6,1,5]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,1,7,4,3,6,2,5]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,7,3,5,1,4,2,6]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,1,6,8,5,7,4,3]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,3,5,1,7,4,2]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,1,8,4,7,6,3,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[4,3,8,1,5,6,7,2]=>[1,5,6,7,2,3,8,4]=>[5,6,8,2,3,4,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,8,1,3,5,6,7,2]=>[1,3,5,6,7,2,4,8]=>[6,2,7,3,4,5,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[4,8,3,6,1,2,7,5]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[3,8,7,4,1,6,2,5]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,8,1,2,5,6,7,4]=>[1,2,5,6,7,3,8,4]=>[2,6,8,3,4,5,7,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,7,1,4,2,6,3,5]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,1,7,4,5,2,3,6]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,8,7,4,5,1,3,6]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[8,7,2,4,1,6,3,5]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,6,3,2,1,4,7,5]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,7,3,5,2,1,4,6]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,8,3,6,2,1,7,4]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[2,6,8,4,5,7,1,3]=>[1,3,2,6,8,4,5,7]=>[3,2,6,7,4,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,1,8,4,5,7,2,3]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,8,3,5,1,7,2,4]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,1,5,8,3,6,7,4]=>[1,5,8,2,3,6,7,4]=>[4,5,8,2,6,7,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,8,3,6,1,2,7,4]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[4,1,8,2,5,6,7,3]=>[1,8,2,5,6,7,3,4]=>[3,7,8,4,5,6,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,4,8,1,5,6,7,3]=>[1,5,6,7,2,4,8,3]=>[5,8,6,2,3,4,7,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[4,8,2,1,5,6,7,3]=>[1,5,6,7,2,3,4,8]=>[5,6,7,2,3,4,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,8,1,4,7,6,2,3]=>[1,4,7,2,3,5,8,6]=>[4,5,2,6,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,3,1,6,2,7,4]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,5,3,8,6,1,7,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,1,8,5,6,7,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,7,8,9,10,1,2,4,5,6]=>[1,2,4,5,6,3,7,8,9,10]=>[2,6,3,4,5,7,8,9,10,1]=>[[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[5,7,8,9,10,1,2,3,4,6]=>[1,2,3,4,6,5,7,8,9,10]=>[2,3,4,6,5,7,8,9,10,1]=>[[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.]
[7,8,9,10,11,12,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[4,5,7,6,2,3,8,1]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[3,5,7,2,6,4,8,1]=>[1,2,6,3,5,7,4,8]=>[2,4,7,5,3,6,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[2,5,7,3,6,4,8,1]=>[1,2,5,7,3,6,4,8]=>[2,5,7,3,6,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,7,2,3,5,4,8,1]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[5,2,7,3,6,4,8,1]=>[1,2,7,3,6,4,8,5]=>[2,4,6,8,5,3,7,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[8,3,4,7,6,1,5,2]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,1,4,7,6,8,5,2]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,1,3,7,6,8,5,2]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,1,7,3,6,8,4,2]=>[1,7,2,3,6,8,4,5]=>[3,4,7,8,5,2,6,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,7,1,3,5,8,4,2]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[5,8,7,3,6,1,4,2]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,8,3,7,6,1,5,2]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,8,4,7,6,1,5,2]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6,8]=>[3,2,5,6,7,4,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,8,3,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,8,2,1,7,6,5,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,7,1,2,8,5,4,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[8,2,3,1,7,6,5,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,2,1,7,6,5,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,4,1,7,6,8,5,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,4,2,7,8,6,5,3]=>[1,4,2,7,8,3,5,6]=>[3,6,2,7,8,4,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,4,2,7,1,6,5,3]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,7,2,1,6,4,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,5,7,2,8,6,4,3]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,5,7,1,6,8,4,2]=>[1,6,8,2,3,5,7,4]=>[4,5,8,6,2,7,3,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[6,7,4,5,8,1,3,2]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[2,5,7,8,1,6,4,3]=>[1,6,2,5,7,8,3,4]=>[3,7,8,4,2,5,6,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,5,7,8,2,6,4,3]=>[1,5,7,8,2,6,3,4]=>[5,7,8,2,6,3,4,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,7,1,2,6,4,3]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,4,1,7,2,6,5,3]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,4,8,7,2,6,5,3]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[3,4,8,7,6,1,5,2]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,8,7,6,1,5,2]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,7,2,8,1,5,4,3]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,2,8,7,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,2,8,1,7,6,5,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,3,1,2,7,6,5,4]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,2,1,3,7,6,5,4]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,2,8,3,7,6,5,4]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[2,1,8,3,7,6,5,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[4,1,8,7,2,6,5,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,1,7,8,2,6,4,3]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,7,1,8,2,5,4,3]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,8,7,1,2,6,4,3]=>[1,2,6,3,4,5,8,7]=>[2,4,5,6,3,8,7,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,8,1,7,2,6,5,3]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,8,1,2,7,6,5,4]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[2,8,1,3,7,6,5,4]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,8,2,3,7,6,5,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,7,1,8,4,5,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,7,1,5,8,3,6,4]=>[1,5,8,2,7,3,6,4]=>[4,6,8,2,7,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,6,5,1,8,3,7,4]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,6,5,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[4,6,5,1,8,7,2,3]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[5,6,4,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,4,5,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,4,6,1,8,7,2,3]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[4,5,6,1,8,7,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,5,6,1,8,3,7,4]=>[1,8,2,5,6,3,7,4]=>[3,6,8,4,5,7,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,4,6,1,3,8,7,5]=>[1,3,8,2,4,6,5,7]=>[4,2,5,7,6,8,3,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,3,6,1,2,8,7,5]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[5,3,6,1,8,2,7,4]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[7,3,1,5,8,2,6,4]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,1,3,5,7,2,6,4]=>[1,3,5,7,2,6,4,8]=>[5,2,7,3,6,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,1,2,5,7,3,6,4]=>[1,2,5,7,3,6,4,8]=>[2,5,7,3,6,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[6,2,5,1,8,3,7,4]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[4,2,6,1,3,8,7,5]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[4,2,5,3,1,8,7,6]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,2,4,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[8,1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[7,3,1,4,2,8,6,5]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,3,4,1,2,8,7,5]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[3,6,4,1,2,8,7,5]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[2,6,4,1,3,8,7,5]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[2,7,1,4,3,8,6,5]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,1,4,2,8,6,5]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,7,1,3,2,8,6,5]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[8,1,6,7,2,3,5,4]=>[1,6,7,2,3,5,4,8]=>[4,5,7,6,2,3,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[4,7,1,2,3,8,6,5]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[2,6,3,1,4,8,7,5]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,6,2,1,8,3,7,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,5,2,1,8,3,7,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[8,1,5,2,7,3,6,4]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,1,4,2,3,7,6,5]=>[1,4,2,3,7,5,6,8]=>[3,4,2,6,7,5,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,4,1,2,3,8,6,5]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,4,2,1,3,8,7,5]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,4,2,3,1,8,7,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,5,2,4,1,8,7,6]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,3,1,2,4,8,6,5]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[8,1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[7,2,1,3,4,8,6,5]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[2,4,3,6,1,5,8,7]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[2,4,3,6,5,8,1,7]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[2,4,6,3,5,8,1,7]=>[1,7,2,4,6,3,5,8]=>[3,6,4,7,5,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[2,4,6,3,5,1,8,7]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,4,1,6,5,3,8,7]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,2,6,5,3,1,8,7]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,2,6,5,1,3,8,7]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[4,2,6,5,1,8,7,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[4,2,6,5,8,1,7,3]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,2,6,5,8,3,1,7]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[2,4,1,6,5,8,3,7]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[4,2,6,5,3,8,7,1]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,2,6,5,8,3,7,1]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,6,4,3,8,7,1,5]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,6,4,3,8,7,5,1]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[2,4,6,1,8,5,7,3]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,1,4,6,8,5,7,3]=>[1,4,6,8,2,3,5,7]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,4,6,8,5,3,7]=>[1,4,6,8,2,3,7,5]=>[5,6,2,8,3,7,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,1,6,8,5,3,7]=>[1,6,8,2,4,3,7,5]=>[4,6,5,8,2,7,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,4,6,1,8,5,3,7]=>[1,8,2,4,6,3,7,5]=>[3,6,4,8,5,7,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,4,6,8,1,5,3,7]=>[1,5,2,4,6,8,3,7]=>[3,7,4,2,5,8,6,1]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[4,2,6,8,5,3,1,7]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,2,6,8,5,1,7,3]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[2,4,6,8,3,5,1,7]=>[1,7,2,4,6,8,3,5]=>[3,7,4,8,5,2,6,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[2,4,6,3,1,8,5,7]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,4,3,6,8,1,5,7]=>[1,5,7,2,4,3,6,8]=>[4,6,5,2,7,3,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[2,4,3,6,1,8,5,7]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,4,3,6,1,8,7,5]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[4,6,5,2,8,7,1,3]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[4,6,2,5,8,7,1,3]=>[1,3,2,5,8,4,6,7]=>[3,2,6,4,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[4,6,2,5,8,7,3,1]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,4,6,3,1,8,7,5]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,4,1,6,3,8,7,5]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,1,4,6,3,8,7,5]=>[1,4,6,2,3,8,5,7]=>[4,5,2,7,3,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,4,6,8,3,7,5]=>[1,4,6,8,2,3,7,5]=>[5,6,2,8,3,7,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,4,1,6,8,3,7,5]=>[1,6,8,2,4,3,7,5]=>[4,6,5,8,2,7,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,4,6,1,8,3,7,5]=>[1,8,2,4,6,3,7,5]=>[3,6,4,8,5,7,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,4,6,8,3,1,7,5]=>[1,7,2,4,6,8,3,5]=>[3,7,4,8,5,2,6,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[4,6,2,8,5,7,1,3]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[6,2,4,8,7,1,3,5]=>[1,3,5,2,4,8,6,7]=>[4,2,5,3,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,4,2,8,7,5,3,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[2,6,4,8,1,7,5,3]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[2,6,4,1,8,7,5,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,6,1,4,8,7,5,3]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[2,1,6,4,8,7,5,3]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,6,1,4,8,7,3,5]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[2,6,4,1,8,7,3,5]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[2,6,4,8,1,7,3,5]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[6,4,2,8,7,5,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,2,4,8,7,3,5,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[6,2,4,8,7,3,1,5]=>[1,5,2,4,8,3,6,7]=>[3,6,4,2,7,8,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[1,6,4,7,3,8,2,5]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[7,1,6,3,8,2,4,5]=>[1,6,2,4,5,3,8,7]=>[3,6,4,5,2,8,7,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,1,7,4,5,8,3,6]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,1,4,7,3,8,2,6]=>[1,4,7,2,6,3,8,5]=>[4,6,2,8,5,3,7,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[4,3,1,7,5,8,2,6]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,8,1,3,7,2,4,5]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,8,2,1,7,3,4,6]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[5,7,2,1,8,3,4,6]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[6,7,1,3,8,2,4,5]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[5,1,2,4,8,3,6,7]=>[1,2,4,8,3,6,7,5]=>[2,5,3,8,6,7,4,1]=>[[.,[[.,.],[[[.,.],[.,.]],.]]],.]
[4,3,6,1,5,8,2,7]=>[1,5,8,2,7,3,6,4]=>[4,6,8,2,7,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,6,2,4,8,3,5,7]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[1,5,3,2,8,4,6,7]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,2,1,5,8,3,7]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,5,3,4,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[4,3,5,2,1,8,6,7]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,6,4,8,7,1,3,5]=>[1,3,5,2,6,4,8,7]=>[4,2,6,3,5,8,7,1]=>[[[.,.],[[.,.],[.,[[.,.],.]]]],.]
[2,7,8,3,6,1,4,5]=>[1,4,5,2,7,8,3,6]=>[4,7,2,3,8,5,6,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,3,2,8,7,1,5,6]=>[1,5,6,2,8,3,4,7]=>[4,6,7,2,3,8,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,2,4,8,7,1,3,6]=>[1,3,6,2,4,8,5,7]=>[4,2,5,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,8,2,5,1,3,7,6]=>[1,3,7,2,5,4,8,6]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,7,2,5,1,3,8,6]=>[1,3,8,2,5,4,7,6]=>[4,2,6,5,8,7,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[3,7,2,1,5,4,8,6]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,8,2,1,5,4,7,6]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,3,2,1,5,4,6,7]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,2,1,6,4,5,7]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,4,2,5,1,6,3,7]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,3,2,1,5,6,4,7]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,2,1,4,6,5,7]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,8,2,1,4,5,7,6]=>[1,4,5,7,2,3,8,6]=>[5,6,2,3,8,4,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[3,2,8,1,4,6,7,5]=>[1,4,6,7,2,8,3,5]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,2,8,1,4,7,6,5]=>[1,4,7,2,8,3,5,6]=>[4,6,2,7,8,3,5,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,8,2,1,5,7,4,6]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,8,2,5,1,7,3,6]=>[1,7,2,5,3,6,4,8]=>[3,5,7,4,6,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,7,2,5,1,8,3,6]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[3,7,2,1,5,8,4,6]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,7,2,1,4,8,5,6]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,2,1,7,5,8,6,4]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,7,1,6,8,4,5]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,2,7,6,1,8,3,5]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[4,3,7,6,8,1,2,5]=>[1,2,5,3,7,4,6,8]=>[2,4,6,3,7,5,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,3,8,6,7,1,2,5]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,2,8,6,1,7,3,5]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,2,8,1,6,7,4,5]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,1,8,7,5,6,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[3,8,2,1,7,4,5,6]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,2,8,1,7,4,6,5]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[4,2,8,6,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,2,8,7,1,3,6,5]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[5,7,8,3,4,1,2,6]=>[1,2,6,3,4,5,7,8]=>[2,4,5,6,3,7,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[4,2,7,8,1,3,6,5]=>[1,3,6,2,7,8,4,5]=>[4,2,7,8,3,5,6,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[3,2,6,1,8,4,7,5]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,7,2,1,8,4,5,6]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[4,7,3,8,5,1,2,6]=>[1,2,6,3,8,4,7,5]=>[2,4,6,8,3,7,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,3,7,8,6,1,2,5]=>[1,2,5,3,7,8,4,6]=>[2,4,7,3,8,5,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[3,2,7,1,8,6,4,5]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[3,2,1,6,8,5,7,4]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[3,2,6,1,8,7,4,5]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,2,6,1,7,8,4,5]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,4,6,8,7,5,1,2]=>[1,2,3,4,6,8,5,7]=>[2,3,4,7,5,8,6,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[5,3,6,4,8,7,1,2]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[1,4,6,2,7,8,5,3]=>[1,4,6,2,7,8,3,5]=>[4,7,2,8,3,5,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,1,8,5,4,2,6,7]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,3,7,5,4,8,1,2]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,3,8,5,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[3,8,7,5,4,6,1,2]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,5,6,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,8,3,5,4,7,1,2]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[7,6,3,5,4,8,1,2]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[1,6,2,5,4,8,7,3]=>[1,6,2,5,3,4,8,7]=>[3,5,6,4,2,8,7,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[7,1,2,5,8,3,6,4]=>[1,2,5,8,3,6,4,7]=>[2,5,7,3,6,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[6,2,1,5,4,8,7,3]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,1,6,2,8,7,5,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,8,1,2,4,6,5,3]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[7,8,3,1,4,2,6,5]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,3,6,1,8,2,7,5]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[4,8,1,5,2,3,7,6]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,5,1,6,4,3,2,8]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,8,1,6,4,3,2,7]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,1,5,7,4,3,2,8]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,5,8,6,4,3,2,7]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,4,6,1,5,8,2,7]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,8,4,1,5,3,2,6]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,5,1,6,3,2,4]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,6,8,7,4,3,2,5]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[6,8,1,7,4,3,2,5]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,6,1,7,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,1,7,6,4,3,2,8]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,1,7,8,4,3,2,5]=>[1,7,8,2,5,3,4,6]=>[4,6,7,5,8,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[7,1,8,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,8,7,6,4,3,2,5]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,1,7,5,6,3,8,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,1,6,7,5,8,2,4]=>[1,6,7,2,4,3,5,8]=>[4,6,5,7,2,3,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,8,1,6,5,3,2,4]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,8,1,5,4,6,7,3]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,2,8,5,6,3,7,4]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,1,2,5,7,3,8,4]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,2,1,5,6,3,7,8]=>[1,5,6,2,3,7,8,4]=>[4,5,8,2,3,6,7,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,3,6,1,5,7,2,8]=>[1,5,7,2,8,3,6,4]=>[4,6,8,2,7,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,4,6,3,7,1,8,5]=>[1,8,2,4,6,3,7,5]=>[3,6,4,8,5,7,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[5,4,6,1,3,7,2,8]=>[1,3,7,2,8,4,6,5]=>[4,2,6,8,7,3,5,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[6,4,1,5,2,3,7,8]=>[1,5,2,3,7,8,4,6]=>[3,4,7,2,8,5,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,1,7,5,2,3,8,6]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,2,3,5,4,1,8,6]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,8,3,5,4,1,7,6]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,2,6,3,8,1,7,5]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,8,2,3,4,1,6,5]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,1,6,4,7,8,2,5]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,8,5,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,1,5,8,4,3,2,6]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,1,8,7,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,5,1,8,4,3,2,7]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,5,7,1,4,3,2,8]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[7,5,8,1,4,3,2,6]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,8,7,1,4,3,2,6]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,5,7,8,4,3,2,6]=>[1,5,7,8,2,6,3,4]=>[5,7,8,2,6,3,4,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,4,7,5,1,3,8,6]=>[1,3,8,2,4,7,5,6]=>[4,2,5,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[7,8,4,6,1,3,2,5]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[7,8,5,4,1,3,2,6]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,6,4,5,1,3,8,7]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[1,6,5,8,4,3,2,7]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,5,1,4,3,2,7]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,6,5,1,4,3,2,8]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,9,7,8]=>[2,3,4,5,6,8,9,7,1]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[1,2,3,4,5,8,6,9,7]=>[1,2,3,4,5,8,6,9,7]=>[2,3,4,5,7,9,6,8,1]=>[[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.]
[1,2,3,4,7,5,8,9,6]=>[1,2,3,4,7,5,8,9,6]=>[2,3,4,6,9,5,7,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]],.]
[1,2,3,6,4,7,8,9,5]=>[1,2,3,6,4,7,8,9,5]=>[2,3,5,9,4,6,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]],.]
[1,2,5,3,6,7,8,9,4]=>[1,2,5,3,6,7,8,9,4]=>[2,4,9,3,5,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]],.]
[1,4,2,5,6,7,8,9,3]=>[1,4,2,5,6,7,8,9,3]=>[3,9,2,4,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,9,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]
[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,10,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,7,8,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,6,7,8,9,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,10,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,6,7,8,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,8,9,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,6,7,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,10,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,5,6,7,8,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[8,9,10,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,5,6,7,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,10,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,7,8,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,7,5,6,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,7,8,9,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,10,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,7,8,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,7,4,5,6,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,8,9,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,6,7,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,7,6,4,5,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,7,6,5,4,1,2,3]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[9,10,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,7,8,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,7,5,6,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,7,6,5,3,4,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[10,9,8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]
[3,4,6,2,7,1,5,8]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,6,2,5,4,1,7,8]=>[1,7,8,2,5,3,6,4]=>[4,6,8,5,7,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,2,7,5,4,1,6,8]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,3,6,2,8,1,5,7]=>[1,5,7,2,8,3,6,4]=>[4,6,8,2,7,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,1,2,5,4,7,8,3]=>[1,2,5,3,4,7,8,6]=>[2,4,5,3,8,6,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,2,8,5,1,3,7,6]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,3,6,4,1,7,2,8]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,2,1,5,8,3,7,4]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,6,7,4,8,3,5,2]=>[1,6,7,2,3,5,4,8]=>[4,5,7,6,2,3,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[4,6,7,2,5,8,1,3]=>[1,3,2,5,8,4,6,7]=>[3,2,6,4,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[2,7,5,4,1,6,3,8]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,5,4,6,2,8,1,3]=>[1,3,2,8,4,6,5,7]=>[3,2,5,7,6,8,4,1]=>[[[.,.],[[.,[[.,.],[.,.]]],.]],.]
[1,7,5,4,3,8,6,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,5,8,4,3,6,7,2]=>[1,5,8,2,3,6,7,4]=>[4,5,8,2,6,7,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,6,2,7,8,1,3]=>[1,3,2,7,8,4,6,5]=>[3,2,6,8,7,4,5,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[5,6,3,2,7,1,4,8]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,6,3,2,7,1,8,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,5,6,3,2,7,1,4]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,4,6,2,8,1,7,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[2,5,4,1,6,3,8,7]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,6,3,2,1,8,4,7]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[3,5,2,1,6,4,7,8]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[6,8,4,3,2,1,5,7]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,3,2,8,5,1,6,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,4,6,3,2,1,7,5]=>[1,7,2,3,4,6,5,8]=>[3,4,5,7,6,2,8,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[8,6,4,3,2,1,7,5]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,6,4,3,2,1,8,5]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,8,4,3,2,1,6,5]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,7,2,1,8,6,3]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[7,5,8,3,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,7,3,2,1,6,8,4]=>[1,6,8,2,3,4,5,7]=>[4,5,6,7,2,8,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,3,2,1,6,4,8]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,7,2,5,1,8,4]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[6,7,8,3,5,2,1,4]=>[1,4,2,3,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[6,2,5,7,8,4,1,3]=>[1,3,2,5,7,8,4,6]=>[3,2,7,4,8,5,6,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,2,6,1,7,4,5,8]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,5,2,1,4,7,6,8]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,3,5,2,1,8,4,6]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,5,4,1,3,7,8,6]=>[1,3,7,8,2,5,4,6]=>[5,2,7,6,8,3,4,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[2,5,8,4,1,3,7,6]=>[1,3,7,2,5,8,4,6]=>[4,2,7,5,8,3,6,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,6,8,2,1,7,4,5]=>[1,7,2,3,6,8,4,5]=>[3,4,7,8,5,2,6,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,7,3,2,1,5,6,8]=>[1,5,6,8,2,3,4,7]=>[5,6,7,2,3,8,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[8,4,7,3,2,1,5,6]=>[1,5,6,2,3,4,7,8]=>[4,5,6,2,3,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,5,2,1,4,7,6]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,5,2,1,4,6,8,7]=>[1,4,6,8,2,3,5,7]=>[5,6,2,7,3,8,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[7,8,6,5,4,3,2,1,9]=>[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[1,8,9,7,6,5,4,3,2]=>[1,8,9,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,3,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[8,9,7,6,5,4,3,2,1,10]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[1,8,7,9,6,5,4,3,2]=>[1,8,2,3,4,5,6,7,9]=>[3,4,5,6,7,8,2,9,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[1,7,9,8,6,5,4,3,2]=>[1,7,9,2,3,4,5,6,8]=>[4,5,6,7,8,2,9,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]],.]
[1,9,10,8,7,6,5,4,3,2]=>[1,9,10,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,10,2,3,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]
[7,8,3,5,4,6,1,2]=>[1,2,3,5,4,6,7,8]=>[2,3,5,4,6,7,8,1]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[8,6,3,7,5,2,4,1]=>[1,2,4,3,7,5,6,8]=>[2,4,3,6,7,5,8,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[5,4,1,6,3,2,8,7]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,4,1,6,2,3,8,7]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,1,6,2,8,3,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,7,1,6,2,8,4,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,7,6,5,1,8,3,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,7,6,5,1,8,4,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,3,6,1,5,4,8,7]=>[1,5,2,3,6,4,8,7]=>[3,4,6,2,5,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,7,6,1,4,8,5,3]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[2,7,6,1,4,8,3,5]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[7,3,5,1,8,4,2,6]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[7,3,5,1,8,6,4,2]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,7,6,1,5,8,4,3]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,7,6,4,1,8,5,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[2,1,7,6,3,8,5,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,7,6,3,8,4,5]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,3,6,2,8,4,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[2,7,6,4,1,8,3,5]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[7,3,5,1,8,6,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,3,5,1,8,2,4,7]=>[1,8,2,4,7,3,5,6]=>[3,6,4,7,8,5,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[2,3,4,8,7,6,1,5]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,3,4,8,5,7,1,6]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,4,3,5,8,7,2,1]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[6,4,3,5,8,7,1,2]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,3,4,8,7,5,6,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[2,3,4,8,7,5,1,6]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,7,6,5,4,8,1,3]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[7,3,5,6,8,1,4,2]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[7,3,5,6,8,1,2,4]=>[1,2,4,3,5,6,8,7]=>[2,4,3,5,6,8,7,1]=>[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]
[6,4,1,5,8,7,2,3]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,1,5,8,7,3,2]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,4,1,5,8,3,7,2]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,7,1,6,3,8,2,4]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,4,1,5,8,3,2,7]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[7,4,1,5,8,2,6,3]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,3,5,7,8,2,1,4]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,3,5,7,8,2,4,1]=>[1,2,4,3,5,7,8,6]=>[2,4,3,5,8,6,7,1]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,7,6,4,5,8,3,1]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,7,3,6,1,8,4,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[7,3,5,4,8,6,2,1]=>[1,2,3,5,4,8,6,7]=>[2,3,5,4,7,8,6,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[2,3,4,8,5,6,1,7]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,8,7,1,6,5]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,3,4,8,1,7,6,5]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,3,4,8,1,6,7,5]=>[1,6,7,2,3,4,8,5]=>[4,5,6,8,2,3,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,3,4,8,5,1,7,6]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,3,5,4,8,2,7,1]=>[1,2,7,3,5,4,8,6]=>[2,4,6,5,8,3,7,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[6,3,5,4,8,2,1,7]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,3,4,8,5,1,6,7]=>[1,6,7,2,3,4,8,5]=>[4,5,6,8,2,3,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,3,4,8,1,6,5,7]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,8,2,6,1,5,3,4]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,1,6,2,5,3,4]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[1,8,6,7,2,5,3,4]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[1,8,5,7,2,6,3,4]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,8,1,7,2,6,3,4]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,8,2,7,1,6,3,4]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,8,6,7,1,5,3,4]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,8,5,7,1,6,3,4]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,1,7,5,6,3,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,2,7,5,6,3,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[1,8,2,7,4,6,3,5]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[2,8,1,7,4,6,3,5]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[2,8,4,7,1,6,3,5]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,8,2,7,1,6,3,5]=>[1,6,2,7,3,5,4,8]=>[3,5,7,6,2,4,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[4,8,1,7,2,6,3,5]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[1,8,4,7,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[4,8,1,7,5,6,2,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,4,7,5,6,2,3]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[1,8,3,7,5,6,2,4]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[3,8,1,7,5,6,2,4]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,8,1,7,4,6,2,5]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,8,3,7,4,6,2,5]=>[1,8,2,5,3,7,4,6]=>[3,5,7,4,8,6,2,1]=>[[[.,[[.,[.,.]],[[.,.],.]]],.],.]
[1,8,3,7,2,6,4,5]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,8,1,7,2,6,4,5]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,8,2,7,1,6,4,5]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,8,2,7,4,6,1,5]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,8,2,7,5,6,1,4]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,8,2,7,5,6,1,3]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[4,8,3,7,5,6,1,2]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[3,8,4,7,5,6,1,2]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[2,8,4,7,5,6,1,3]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[2,8,3,7,5,6,1,4]=>[1,4,2,8,3,7,5,6]=>[3,5,2,7,8,6,4,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[2,8,3,7,4,6,1,5]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[2,8,3,7,1,6,4,5]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,8,1,7,3,6,4,5]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,5,2,8,6,4,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,5,1,8,6,2,3,4]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[7,4,8,6,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,1,8,4,5,2,6,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,8,1,7,4,2,5,3]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,6,7,4,2,8,5,3]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,6,7,3,8,5,2,4]=>[1,6,7,2,4,3,8,5]=>[4,6,5,8,2,3,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[7,1,8,3,5,6,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,3,8,6,2,5,1,4]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[7,4,2,8,6,1,3,5]=>[1,3,5,2,8,4,6,7]=>[4,2,6,3,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[7,3,1,8,4,2,5,6]=>[1,8,2,5,6,3,4,7]=>[3,6,7,4,5,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,2,8,4,1,5,3,6]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,2,8,3,5,1,6,4]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[7,2,8,3,4,6,1,5]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,5,7,8,2,6,3,4]=>[1,5,7,8,2,6,3,4]=>[5,7,8,2,6,3,4,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,3,8,5,7,4,1]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[6,2,4,8,5,3,1,7]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,3,1,4,8,5,2,7]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[2,6,3,7,8,5,4,1]=>[1,2,6,3,7,8,4,5]=>[2,4,7,8,3,5,6,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[2,6,3,7,8,4,5,1]=>[1,2,6,3,7,8,4,5]=>[2,4,7,8,3,5,6,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,1,5,4,7,8,2,6]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[5,3,1,4,8,2,6,7]=>[1,4,8,2,6,7,3,5]=>[4,7,2,8,5,6,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,2,3,8,4,6,7,1]=>[1,2,3,8,4,6,7,5]=>[2,3,5,8,6,7,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[4,8,2,3,6,1,7,5]=>[1,7,2,3,6,4,8,5]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,3,8,2,4,7,1,6]=>[1,6,2,4,7,3,8,5]=>[3,6,4,8,2,5,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[5,4,3,8,1,2,7,6]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,4,2,8,1,3,7,5]=>[1,3,7,2,8,4,5,6]=>[4,2,6,7,8,3,5,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,3,8,2,5,1,7,4]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[6,3,8,1,4,7,2,5]=>[1,4,7,2,5,3,8,6]=>[4,6,2,5,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,1,3,6,2,7,4]=>[1,3,6,2,7,4,5,8]=>[4,2,6,7,3,5,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[5,8,1,4,2,6,3,7]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[5,8,4,1,2,7,6,3]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,5,1,2,8,7,3,4]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[6,5,3,1,4,2,8,7]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[5,2,6,4,1,7,3,8]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,6,1,7,5,2,8,3]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[4,5,1,7,2,6,3,8]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,5,6,1,2,8,7,4]=>[1,2,8,3,5,6,4,7]=>[2,4,7,5,6,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[3,6,2,7,5,1,8,4]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[3,4,7,2,8,6,1,5]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,4,5,8,2,7,1,6]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,4,6,2,8,1,5,7]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,7,2,5,4,8,6,1]=>[1,2,5,3,7,4,8,6]=>[2,4,6,3,8,5,7,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,4,2,5,7,3,6,1]=>[1,2,5,7,3,6,4,8]=>[2,5,7,3,6,4,8,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[4,7,2,5,8,3,6,1]=>[1,2,5,8,3,6,4,7]=>[2,5,7,3,6,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,1,6,5,8,3,2,7]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,1,6,8,4,3,2,7]=>[1,6,8,2,7,3,4,5]=>[4,6,7,8,2,5,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,5,4,7,6,3,2,1]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,7,1,8,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,7,1,5,4,3,8,6]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,4,1,5,7,3,2,6]=>[1,5,7,2,6,3,4,8]=>[4,6,7,2,5,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,5,6,7,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[8,4,6,1,7,3,2,5]=>[1,7,2,5,3,4,6,8]=>[3,5,6,4,7,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[8,3,6,1,4,7,2,5]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,7,6,1,4,3,8,5]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,7,8,5,1,3,2,4]=>[1,3,2,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,7,6,8,2,3,4,1]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,7,2,8,4,3,6,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,7,8,2,4,3,5,1]=>[1,2,4,3,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]
[4,7,6,2,8,3,5,1]=>[1,2,8,3,5,4,7,6]=>[2,4,6,5,8,7,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[5,7,3,8,4,6,2,1]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[8,7,2,1,4,3,6,5]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,7,6,3,2,5,4,1]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[8,7,3,5,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,4,6,5,7,1,2,3]=>[1,2,3,4,6,5,7,8]=>[2,3,4,6,5,7,8,1]=>[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]
[5,7,6,8,4,1,2,3]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[4,7,6,5,8,1,2,3]=>[1,2,3,4,7,5,8,6]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[3,7,6,5,1,8,2,4]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,9,8,1]=>[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]
[1,9,2,3,4,5,6,7,8]=>[1,9,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]
[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,8,10,9]=>[2,3,4,5,6,7,8,10,9,1]=>[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]
[7,8,1,2,3,4,5,6,9]=>[1,2,3,4,5,6,9,7,8]=>[2,3,4,5,6,8,9,7,1]=>[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]
[1,8,9,2,3,4,5,6,7]=>[1,8,9,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,3,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[1,10,2,3,4,5,6,7,8,9]=>[1,10,2,3,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,10,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]
[10,1,2,3,4,5,6,7,8,9,11]=>[1,2,3,4,5,6,7,8,9,11,10]=>[2,3,4,5,6,7,8,9,11,10,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]],.]
[7,1,8,2,3,4,5,6,9]=>[1,8,2,3,4,5,6,9,7]=>[3,4,5,6,7,9,2,8,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[1,8,2,9,3,4,5,6,7]=>[1,8,2,9,3,4,5,6,7]=>[3,5,6,7,8,9,2,4,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[1,7,9,2,3,4,5,6,8]=>[1,7,9,2,3,4,5,6,8]=>[4,5,6,7,8,2,9,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]],.]
[1,9,10,2,3,4,5,6,7,8]=>[1,9,10,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,10,2,3,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]
[1,11,2,3,4,5,6,7,8,9,10]=>[1,11,2,3,4,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,11,2,1]=>[[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.],.]
[3,6,4,8,7,5,1,2]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[5,6,4,3,8,7,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[1,4,7,2,5,8,6,3]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,3,8,4,5,6,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[3,5,6,4,8,7,1,2]=>[1,2,3,5,6,4,8,7]=>[2,3,6,4,5,8,7,1]=>[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]
[4,6,8,5,3,7,1,2]=>[1,2,3,7,4,6,8,5]=>[2,3,5,8,6,4,7,1]=>[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]
[6,8,5,3,4,7,1,2]=>[1,2,3,4,7,5,6,8]=>[2,3,4,6,7,5,8,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[1,6,5,4,2,8,7,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,8,5,2,7,3,6,4]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[4,2,7,5,1,8,6,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[7,8,1,4,2,6,5,3]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,1,7,5,3,2,6,8]=>[1,7,2,6,8,3,4,5]=>[3,6,7,8,4,2,5,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,8,5,3,1,7,2,6]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,4,5,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,8,3,6,1,4,2,7]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,5,8,6,4,1,3,7]=>[1,3,7,2,5,8,4,6]=>[4,2,7,5,8,3,6,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[7,1,8,6,3,4,2,5]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,2,1,4,5,6,8,3]=>[1,4,5,6,8,2,3,7]=>[6,7,2,3,4,8,5,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[1,2,8,3,6,5,7,4]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,1,3,2,7,5,8,4]=>[1,3,2,7,4,5,8,6]=>[3,2,5,6,8,4,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,6,3,8,5,7,2,4]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,6,4,1,7,5,8,3]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,6,5,8,1,4,2,3]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,8,6,7,3,2,1,4]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[1,6,4,3,7,2,8,5]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,6,3,4,8,7,1,5]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,1,3,4,5,2,8,6]=>[1,3,4,5,2,8,6,7]=>[5,2,3,4,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[1,8,3,5,4,2,7,6]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[4,1,6,3,8,2,7,5]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[7,8,2,4,6,3,1,5]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[3,2,6,4,7,8,1,5]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,8,5,7,4,3,1,6]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,2,5,8,3,4,1,6]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[5,3,8,7,1,2,6,4]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,5,3,8,2,1,7,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,5,8,4,1,2,3,6]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[3,5,7,8,4,1,2,6]=>[1,2,6,3,5,7,8,4]=>[2,4,8,5,3,6,7,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[1,4,7,5,3,8,2,6]=>[1,4,7,2,6,3,8,5]=>[4,6,2,8,5,3,7,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,4,6,7,3,1,8,5]=>[1,8,2,4,6,7,3,5]=>[3,7,4,8,5,6,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[7,8,4,6,3,1,2,5]=>[1,2,5,3,4,6,7,8]=>[2,4,5,3,6,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[2,6,4,5,3,8,1,7]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[3,6,5,8,4,2,1,7]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[5,6,8,4,2,3,1,7]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,8,5,4,3,1,2,7]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,1,4,2,8,5,7,3]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[6,7,5,8,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[1,7,5,8,2,6,4,3]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,3,8,5,7,6,2,4]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[6,3,8,5,7,1,2,4]=>[1,2,4,3,8,5,7,6]=>[2,4,3,6,8,7,5,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[8,3,1,5,6,2,7,4]=>[1,5,6,2,7,3,4,8]=>[4,6,7,2,3,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,8,5,2,1,4,7,3]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,8,1,5,6,3,7,4]=>[1,5,6,2,8,3,7,4]=>[4,6,8,2,3,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,1,8,6,2,7,3,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[8,6,1,5,7,2,3,4]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,8,6,5,7,1,2,4]=>[1,2,4,3,8,5,7,6]=>[2,4,3,6,8,7,5,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[5,1,7,6,8,4,2,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,2,5,8,1,6,4,3]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,2,8,5,7,6,1,4]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[8,2,1,5,7,6,3,4]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,2,8,6,1,7,3,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,2,8,6,5,7,3,4]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[4,2,1,3,6,7,8,5]=>[1,3,6,7,8,2,4,5]=>[6,2,7,8,3,4,5,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[7,2,6,5,4,1,8,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[6,1,3,5,4,7,8,2]=>[1,3,5,2,4,7,8,6]=>[4,2,5,3,8,6,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,5,6,2,4,1,8,3]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,5,2,6,3,7,1,4]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[8,1,6,5,7,3,2,4]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,5,8,6,2,7,1,4]=>[1,4,2,7,3,5,8,6]=>[3,5,2,6,8,4,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,8,1,6,3,7,2,4]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,8,5,6,3,7,2,4]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[1,7,6,5,4,2,8,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,6,1,4,2,8,3]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[7,1,4,2,6,5,8,3]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,7,4,1,5,6,8,3]=>[1,5,6,8,2,7,3,4]=>[5,7,8,2,3,6,4,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,7,6,4,1,2,8,3]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[4,7,6,1,5,2,8,3]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[1,7,6,4,5,2,8,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,3,6,5,7,2,4]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[3,8,1,6,5,7,2,4]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[8,1,3,5,7,6,2,4]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[7,8,5,4,1,6,2,3]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,1,5,4,3,7,8,2]=>[1,5,2,3,7,8,4,6]=>[3,4,7,2,8,5,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,5,6,4,2,1,8,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,3,2,6,5,7,1,4]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[7,4,6,2,5,1,8,3]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[6,1,4,3,5,7,8,2]=>[1,4,2,3,5,7,8,6]=>[3,4,2,5,8,6,7,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[6,1,3,4,5,7,8,2]=>[1,3,4,5,7,8,2,6]=>[7,2,3,4,8,5,6,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[7,2,6,4,5,1,8,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[8,2,3,6,5,7,1,4]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,7,8,5,6,1,2]=>[1,2,3,4,7,8,5,6]=>[2,3,4,7,8,5,6,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[3,4,7,2,5,1,6,8]=>[1,6,8,2,5,3,4,7]=>[4,6,7,5,2,8,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[1,4,7,2,5,8,3,6]=>[1,4,7,2,5,8,3,6]=>[4,7,2,5,8,3,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,8,3,4,5,7,1,2]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[4,3,6,7,5,8,1,2]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,3,7,5,8,4,1,2]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,3,8,6,4,5,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[3,2,7,6,5,1,4,8]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[1,2,7,6,5,8,3,4]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,8,2,6,1,5,3,7]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,3,8,6,4,1,5,7]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,6,2,5,1,8,7]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,8,1,2,5,6,3,4]=>[1,2,5,6,3,4,7,8]=>[2,5,6,3,4,7,8,1]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,1,2,5,8,7,3,4]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[7,1,5,8,3,6,2,4]=>[1,5,8,2,4,3,6,7]=>[4,6,5,2,7,8,3,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[5,1,8,7,2,3,6,4]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,1,5,7,4,2,8,3]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,1,6,4,7,2,5,8]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[2,4,7,5,1,8,3,6]=>[1,8,2,4,7,3,6,5]=>[3,6,4,8,7,5,2,1]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]
[2,8,3,4,5,1,7,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,2,4,3,1,5,7,8]=>[1,5,7,8,2,4,3,6]=>[5,7,6,2,8,3,4,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[4,2,8,3,1,7,5,6]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,7,4,1,6,2,8]=>[1,6,2,8,3,7,4,5]=>[3,5,7,8,2,6,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,4,7,3,6,1,8,5]=>[1,8,2,4,7,3,6,5]=>[3,6,4,8,7,5,2,1]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]
[7,5,6,8,1,4,3,2]=>[1,4,2,3,5,6,8,7]=>[3,4,2,5,6,8,7,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[2,4,7,1,6,5,3,8]=>[1,6,2,4,7,3,8,5]=>[3,6,4,8,2,5,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,2,7,8,5,4,3,6]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[6,3,1,2,8,4,5,7]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[2,8,1,4,5,6,3,7]=>[1,4,5,6,2,8,3,7]=>[5,7,2,3,4,8,6,1]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[7,2,1,5,4,6,3,8]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,2,6,1,8,5,3,7]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,8,2,1,4,5,3,6]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,4,6,1,5,8,7,2]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,5,1,6,4,3,8,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,8,1,6,3,4,7,2]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,5,1,8,2,7,4,3]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[6,8,1,7,5,2,3,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,6,1,8,5,3,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,6,1,7,4,8,2,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,6,1,5,7,4,2,8]=>[1,5,7,2,8,3,6,4]=>[4,6,8,2,7,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,5,6,1,7,4,8,3]=>[1,7,2,5,6,3,4,8]=>[3,6,7,4,5,2,8,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,1,7,5,6,4,8,2]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,1,7,6,4,8,3,2]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,1,7,8,5,3,4,2]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,1,8,6,5,4,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,6,5,7,3,4,8,1]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,6,4,7,5,8,2,3]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,3,6,2,7,4,1]=>[1,2,7,3,6,4,5,8]=>[2,4,6,7,5,3,8,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,3,7,4,6,8,2,5]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,7,5,6,3,2,8,1]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[1,7,6,5,4,8,2,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[8,1,6,5,7,2,4,3]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,2,7,6,8,3,4,5]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,1,7,5,3,8,2,4]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,1,7,5,6,8,3,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,4,1,7,6,8,2,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[3,8,6,4,2,7,5,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,8,5,2,4,6,3,1]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[2,8,6,3,7,4,5,1]=>[1,2,8,3,7,4,5,6]=>[2,4,6,7,8,5,3,1]=>[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]
[6,8,1,4,7,2,5,3]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,8,4,1,7,2,6,5]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,4,7,1,8,3,2,6]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[3,7,4,1,8,5,2,6]=>[1,8,2,6,3,7,4,5]=>[3,5,7,8,4,6,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,7,1,8,4,5,3,6]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[6,1,2,8,4,3,5,7]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[6,5,1,4,3,8,2,7]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,6,2,5,8,3,4,7]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[8,4,2,1,7,3,6,5]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,4,2,1,8,5,3,6]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,4,3,1,5,8,2,7]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,7,6,8,4,5,2,1]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[2,7,6,8,5,3,4,1]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,7,6,8,5,4,2,3]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,4,8,6,7,3,5,1]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[7,3,8,5,4,6,2,1]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[3,4,8,5,6,7,2,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[5,4,3,8,6,7,2,1]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,4,2,8,7,3,6,1]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[6,2,5,8,7,3,4,1]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,3,8,7,5,6,2,4]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[2,1,8,7,4,6,3,5]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,1,5,8,7,4,2,3]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,4,1,8,7,6,2,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[5,8,6,7,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[4,8,7,5,6,3,2,1]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[6,2,1,4,3,5,8,7]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[8,2,1,4,3,6,5,7]=>[1,4,2,3,6,5,7,8]=>[3,4,2,6,5,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,2,4,1,3,8,5,7]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[6,2,4,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[2,6,1,4,3,5,8,7]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,6,2,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,4,2,1,3,5,8,7]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[6,4,2,1,8,3,5,7]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[4,6,2,1,8,3,5,7]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[2,6,1,4,3,8,5,7]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,6,4,3,8,5,7]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,1,8,4,3,6,5,7]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[2,8,1,4,3,6,5,7]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[2,8,4,1,3,6,5,7]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,8,2,1,3,6,5,7]=>[1,3,6,2,4,8,5,7]=>[4,2,5,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[6,8,2,1,4,3,5,7]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,6,2,1,4,3,5,7]=>[1,4,2,3,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[2,1,8,4,6,3,5,7]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[2,6,1,4,8,3,5,7]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[2,6,4,8,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[5,2,7,3,6,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,2,6,1,3,8,5,7]=>[1,3,8,2,6,4,5,7]=>[4,2,6,7,5,8,3,1]=>[[[.,.],[[[.,[.,.]],[.,.]],.]],.]
[8,2,4,1,6,3,5,7]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[8,2,1,4,6,3,5,7]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[4,2,1,6,8,3,5,7]=>[1,6,8,2,3,5,7,4]=>[4,5,8,6,2,7,3,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[4,2,1,6,3,8,5,7]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,4,1,3,8,6,5,7]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[4,2,1,3,8,6,5,7]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[4,2,1,8,3,6,5,7]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[4,2,1,8,6,3,5,7]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[6,2,1,8,4,3,5,7]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[8,2,6,1,4,3,5,7]=>[1,4,2,6,3,5,7,8]=>[3,5,2,6,4,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,2,8,1,4,3,5,7]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[4,2,8,1,3,6,5,7]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[2,4,8,1,3,6,5,7]=>[1,3,6,2,4,8,5,7]=>[4,2,5,7,3,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[2,4,1,8,3,6,5,7]=>[1,8,2,4,3,6,5,7]=>[3,5,4,7,6,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,4,8,1,6,3,5,7]=>[1,6,2,4,8,3,5,7]=>[3,6,4,7,2,8,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[8,2,6,4,1,3,5,7]=>[1,3,5,7,2,6,4,8]=>[5,2,7,3,6,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[8,4,6,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[4,6,8,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[2,6,8,1,4,3,5,7]=>[1,4,2,6,8,3,5,7]=>[3,6,2,7,4,8,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,6,8,4,3,5,7]=>[1,6,8,2,3,5,7,4]=>[4,5,8,6,2,7,3,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[2,1,8,6,4,3,5,7]=>[1,8,2,3,5,7,4,6]=>[3,4,7,5,8,6,2,1]=>[[[.,[.,[[.,.],[[.,.],.]]]],.],.]
[6,8,4,2,1,3,5,7]=>[1,3,5,7,2,4,6,8]=>[5,2,6,3,7,4,8,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[3,2,6,1,5,4,8,7]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[5,2,4,3,8,1,7,6]=>[1,7,2,4,3,8,5,6]=>[3,5,4,7,8,2,6,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,2,4,1,5,3,8,7]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[4,3,6,1,5,2,8,7]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,3,5,2,8,1,7,6]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[4,3,7,2,6,5,8,1]=>[1,2,6,3,7,4,5,8]=>[2,4,6,7,3,5,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[4,3,8,2,6,1,7,5]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,3,8,1,7,2,6,5]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,3,8,1,5,2,7,6]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,1,8,3,4,2,7,6]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,4,8,1,3,2,7,6]=>[1,3,2,7,4,8,5,6]=>[3,2,5,7,8,4,6,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[2,1,5,4,8,3,7,6]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,1,7,6,8,3,4,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,7,1,8,5,6,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[4,3,6,5,8,1,7,2]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,3,5,4,7,2,8,1]=>[1,2,8,3,5,4,7,6]=>[2,4,6,5,8,7,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[6,3,5,4,8,1,7,2]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,1,6,3,8,4,5,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,4,6,5,8,1,3,2]=>[1,3,2,4,6,5,8,7]=>[3,2,4,6,5,8,7,1]=>[[[.,.],[.,[[.,.],[[.,.],.]]]],.]
[8,4,6,1,3,2,7,5]=>[1,3,2,7,4,6,5,8]=>[3,2,5,7,6,4,8,1]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[8,1,6,3,4,2,7,5]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,1,6,3,7,2,5,4]=>[1,6,2,5,3,7,4,8]=>[3,5,7,4,2,6,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[8,3,5,1,7,2,6,4]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[8,3,5,2,6,1,7,4]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[8,2,6,3,5,1,7,4]=>[1,7,2,6,3,5,4,8]=>[3,5,7,6,4,2,8,1]=>[[[.,[[.,[[.,.],.]],.]],[.,.]],.]
[8,2,7,1,5,3,6,4]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,2,4,1,5,3,7,6]=>[1,5,2,4,3,7,6,8]=>[3,5,4,2,7,6,8,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[8,2,4,1,7,3,6,5]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[8,2,4,3,6,1,7,5]=>[1,7,2,4,3,6,5,8]=>[3,5,4,7,6,2,8,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[3,2,8,4,6,1,7,5]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[3,2,8,1,5,4,7,6]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,2,7,6,8,1,5,4]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,2,7,1,8,5,6,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[3,2,6,5,8,1,7,4]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,5,7,2,4,3,8,1]=>[1,2,4,3,8,5,7,6]=>[2,4,3,6,8,7,5,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[6,5,8,2,4,1,7,3]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,2,4,1,8,5,6,3]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,1,7,3,8,5,6,4]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,1,3,2,8,5,6,4]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[7,1,8,5,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,1,8,2,6,4,5,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,2,8,1,5,4,6,3]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[6,2,7,4,5,3,8,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[5,4,7,2,6,3,8,1]=>[1,2,6,3,8,4,7,5]=>[2,4,6,8,3,7,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[5,4,8,2,6,1,7,3]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[6,5,8,1,7,2,4,3]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[6,5,7,1,8,3,4,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,1,7,4,8,3,5,2]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[5,4,6,3,8,1,7,2]=>[1,7,2,3,8,4,6,5]=>[3,4,6,8,7,2,5,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[7,8,9,10,11,12,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[2,3,4,5,6,7,8,9,10,11,12,1]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]],.]
[2,8,3,1,5,4,6,7]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,4,8,3,5,7,6,1]=>[1,2,4,8,3,5,7,6]=>[2,5,3,6,8,7,4,1]=>[[.,[[.,.],[[.,[[.,.],.]],.]]],.]
[4,2,5,3,1,8,6,7]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,1,4,8,3,2,6,7]=>[1,4,8,2,6,7,3,5]=>[4,7,2,8,5,6,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[1,8,5,4,3,2,6,7]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,7,4,3,8,5,2,6]=>[1,7,2,6,3,8,4,5]=>[3,5,7,8,4,2,6,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,8,1,5,7,3,6,2]=>[1,5,7,2,3,6,4,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,8,4,7,6,5,2,1]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[1,6,8,5,3,7,4,2]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,8,1,7,4,3,5,2]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,4,8,1,7,3,5,2]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,4,8,7,1,5,2,3]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,7,5,6,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,7,4,6,3,1,8,5]=>[1,8,2,7,3,4,6,5]=>[3,5,6,8,7,4,2,1]=>[[[.,[[.,[.,[[.,.],.]]],.]],.],.]
[7,2,6,3,4,1,8,5]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[2,6,7,3,1,4,8,5]=>[1,4,8,2,6,7,3,5]=>[4,7,2,8,5,6,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[2,7,1,8,3,5,4,6]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[2,1,7,3,5,8,4,6]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,8,2,6,3,1,5,4]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,2,6,3,5,4,1]=>[1,2,6,3,5,4,7,8]=>[2,4,6,5,3,7,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[1,2,8,7,4,5,6,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[8,6,1,2,7,5,3,4]=>[1,2,7,3,4,5,6,8]=>[2,4,5,6,7,3,8,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,1,6,2,7,4,5,3]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,8,5,2,6,7,4,3]=>[1,8,2,6,7,3,4,5]=>[3,6,7,8,4,5,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,2,1,8,6,7,4,3]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[2,8,5,7,6,4,3,1]=>[1,2,8,3,4,5,7,6]=>[2,4,5,6,8,7,3,1]=>[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]
[1,7,8,5,2,6,4,3]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[7,8,1,6,4,2,5,3]=>[1,6,2,5,3,4,7,8]=>[3,5,6,4,2,7,8,1]=>[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]
[7,8,6,1,5,3,2,4]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[7,3,8,6,1,5,2,4]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[8,7,6,1,5,3,4,2]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,1,6,4,5,3,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,1,7,5,6,4,3,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,6,7,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,3,5,7,2,8,4,1]=>[1,2,8,3,5,7,4,6]=>[2,4,7,5,8,6,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[8,5,2,7,4,3,1,6]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,5,3,6,1,2,8,7]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[8,3,4,5,7,2,1,6]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,7,4,6,3,8,2,1]=>[1,2,3,8,4,6,5,7]=>[2,3,5,7,6,8,4,1]=>[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]
[2,8,4,6,3,7,1,5]=>[1,5,2,8,3,7,4,6]=>[3,5,7,2,8,6,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[8,1,4,7,3,6,2,5]=>[1,4,7,2,5,3,6,8]=>[4,6,2,5,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,3,4,7,5,1,2,6]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[8,5,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[2,1,8,5,7,4,3,6]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,5,3,7,1,8,4,2]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,5,1,4,7,8,3,2]=>[1,4,7,8,2,3,5,6]=>[5,6,2,7,8,3,4,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,3,4,7,5,8,1,2]=>[1,2,3,4,7,5,8,6]=>[2,3,4,6,8,5,7,1]=>[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]
[5,1,4,6,8,3,7,2]=>[1,4,6,8,2,3,7,5]=>[5,6,2,8,3,7,4,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,7,1,3,5,8,6,2]=>[1,3,5,8,2,4,7,6]=>[5,2,6,3,8,7,4,1]=>[[[.,.],[[.,.],[[[.,.],.],.]]],.]
[4,8,3,7,1,2,6,5]=>[1,2,6,3,7,4,8,5]=>[2,4,6,8,3,5,7,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[3,8,6,4,1,7,2,5]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,8,1,2,5,7,6,4]=>[1,2,5,7,3,8,4,6]=>[2,5,7,3,8,4,6,1]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[2,8,7,5,4,1,3,6]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[8,7,2,6,4,1,3,5]=>[1,3,5,2,6,4,7,8]=>[4,2,6,3,5,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[3,8,6,7,4,2,1,5]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,7,6,8,4,2,3,1]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,7,6,8,1]=>[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]
[5,3,7,6,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[5,3,6,2,8,7,1,4]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[5,7,8,6,4,2,1,3]=>[1,3,2,4,5,7,8,6]=>[3,2,4,5,8,6,7,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[6,1,7,4,5,8,2,3]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,7,3,5,1,8,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[2,1,6,7,5,8,3,4]=>[1,6,7,2,3,4,5,8]=>[4,5,6,7,2,3,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,7,3,6,1,2,8,4]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[4,1,7,2,5,6,8,3]=>[1,7,2,5,6,8,3,4]=>[3,7,8,4,5,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[4,6,2,1,8,7,5,3]=>[1,8,2,3,4,6,5,7]=>[3,4,5,7,6,8,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[3,4,6,2,7,8,5,1]=>[1,2,7,8,3,4,6,5]=>[2,5,6,8,7,3,4,1]=>[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]
[4,6,1,2,5,8,7,3]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[5,6,1,4,8,2,7,3]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[5,6,3,1,8,7,2,4]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[3,5,6,4,7,1,8,2]=>[1,8,2,3,5,6,4,7]=>[3,4,7,5,6,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,4,1,5,7,6,8,2]=>[1,5,7,2,3,4,6,8]=>[4,5,6,2,7,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,8,2,7,1,6,5,4]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,8,2,7,6,1,5,4]=>[1,5,2,7,3,8,4,6]=>[3,5,7,2,8,4,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[3,8,2,7,6,5,1,4]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,8,2,7,6,5,4,1]=>[1,2,7,3,8,4,5,6]=>[2,4,6,7,8,3,5,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,8,7,2,6,5,3,1]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,8,7,2,6,5,1,3]=>[1,3,2,6,4,8,5,7]=>[3,2,5,7,4,8,6,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[4,8,7,2,6,1,5,3]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,8,7,2,1,6,5,3]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,7,3,1,6,5,2]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,7,3,2,1,6,5]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,7,3,2,6,1,5]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,8,7,3,2,6,5,1]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,8,7,3,6,2,5,1]=>[1,2,5,3,6,4,8,7]=>[2,4,6,3,5,8,7,1]=>[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]
[4,8,7,3,6,2,1,5]=>[1,5,2,3,6,4,8,7]=>[3,4,6,2,5,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,8,7,3,6,1,5,2]=>[1,5,2,3,6,4,8,7]=>[3,4,6,2,5,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,8,7,3,6,5,1,2]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[4,8,7,3,6,5,2,1]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[5,8,7,6,3,4,2,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[5,8,7,6,3,1,4,2]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,8,7,6,2,1,4,3]=>[1,4,2,3,5,8,6,7]=>[3,4,2,5,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[5,8,7,6,4,2,3,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[5,8,7,6,4,2,1,3]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[5,8,7,6,4,1,3,2]=>[1,3,2,4,5,8,6,7]=>[3,2,4,5,7,8,6,1]=>[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]
[5,8,7,6,4,3,1,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[7,3,5,2,6,1,4,8]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[7,3,5,2,6,4,1,8]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[6,3,5,2,7,4,8,1]=>[1,2,7,3,5,4,8,6]=>[2,4,6,5,8,3,7,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[7,2,1,5,6,4,3,8]=>[1,5,6,2,3,8,4,7]=>[4,5,7,2,3,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[7,3,5,1,6,4,2,8]=>[1,6,2,8,3,5,4,7]=>[3,5,7,6,2,8,4,1]=>[[[.,[.,[[.,.],.]]],[[.,.],.]],.]
[7,4,5,6,1,3,2,8]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[6,4,5,7,3,1,8,2]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[6,4,5,7,1,3,8,2]=>[1,3,8,2,4,5,7,6]=>[4,2,5,6,8,7,3,1]=>[[[.,.],[[.,[.,[[.,.],.]]],.]],.]
[6,3,5,1,7,4,8,2]=>[1,7,2,3,5,4,8,6]=>[3,4,6,5,8,2,7,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[1,4,6,7,3,8,5,2]=>[1,4,6,7,2,3,8,5]=>[5,6,2,8,3,4,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,5,6,7,8,3,4,2]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[2,5,6,7,8,3,1,4]=>[1,4,2,5,6,7,8,3]=>[3,8,2,4,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,2,1,6,7,8,4,5]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,2,1,6,7,8,4,3]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,4,6,7,1,8,3,2]=>[1,8,2,3,4,6,7,5]=>[3,4,5,8,6,7,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[1,5,6,7,8,3,2,4]=>[1,5,6,7,8,2,4,3]=>[6,8,7,2,3,4,5,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,4,5,7,2,1,8,3]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[5,3,6,2,7,8,4,1]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[6,3,5,2,7,1,8,4]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[6,3,4,2,1,7,8,5]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,3,4,1,2,7,8,6]=>[1,2,7,8,3,4,5,6]=>[2,5,6,7,8,3,4,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,3,6,2,7,8,5,1]=>[1,2,7,8,3,6,4,5]=>[2,5,7,8,6,3,4,1]=>[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]
[1,3,6,2,7,8,5,4]=>[1,3,6,2,7,8,4,5]=>[4,2,7,8,3,5,6,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[1,4,6,7,2,8,5,3]=>[1,4,6,7,2,8,3,5]=>[5,7,2,8,3,4,6,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,4,5,7,2,1,8,6]=>[1,8,2,3,4,5,7,6]=>[3,4,5,6,8,7,2,1]=>[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]
[4,2,1,5,7,3,8,6]=>[1,5,7,2,3,8,4,6]=>[4,5,7,2,8,3,6,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,3,6,1,7,8,2,5]=>[1,7,8,2,5,3,6,4]=>[4,6,8,5,7,2,3,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,5,6,7,8,2,4,3]=>[1,5,6,7,8,2,4,3]=>[6,8,7,2,3,4,5,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[1,5,6,7,8,4,2,3]=>[1,5,6,7,8,2,3,4]=>[6,7,8,2,3,4,5,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,4,6,7,1,8,5,2]=>[1,8,2,3,4,6,7,5]=>[3,4,5,8,6,7,2,1]=>[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]
[4,2,1,6,7,8,5,3]=>[1,6,7,8,2,3,4,5]=>[5,6,7,8,2,3,4,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,4,6,7,1,8,5,3]=>[1,8,2,4,6,7,3,5]=>[3,7,4,8,5,6,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[2,5,6,7,8,1,4,3]=>[1,4,2,5,6,7,8,3]=>[3,8,2,4,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,3,2,5,4,7,6,9,8]=>[1,3,2,5,4,7,6,9,8]=>[3,2,5,4,7,6,9,8,1]=>[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]
[1,4,2,5,3,7,6,9,8]=>[1,4,2,5,3,7,6,9,8]=>[3,5,2,4,7,6,9,8,1]=>[[[.,[.,.]],[.,[[.,.],[[.,.],.]]]],.]
[1,3,2,5,4,7,6,9,8,10]=>[1,3,2,5,4,7,6,9,8,10]=>[3,2,5,4,7,6,9,8,10,1]=>[[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]],.]
[7,1,2,3,4,5,6,8,9]=>[1,2,3,4,5,6,8,9,7]=>[2,3,4,5,6,9,7,8,1]=>[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]
[1,4,3,7,6,8,2,5]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[1,4,3,7,5,8,2,6]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,4,3,7,2,6,5,8]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,5,3,7,4,8,2,6]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,3,2,6,5,8,4,7]=>[1,3,2,6,4,7,5,8]=>[3,2,5,7,4,6,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[1,5,4,8,2,6,3,7]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,5,4,8,3,7,2,6]=>[1,5,2,6,3,7,4,8]=>[3,5,7,2,4,6,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,2,3,6,5,8,4,7]=>[1,2,3,6,4,7,5,8]=>[2,3,5,7,4,6,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,8,2,4,5,7,1,3]=>[1,3,2,4,5,7,6,8]=>[3,2,4,5,7,6,8,1]=>[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]
[3,7,8,4,5,2,6,1]=>[1,2,6,3,7,8,4,5]=>[2,4,7,8,3,5,6,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[7,8,1,4,5,3,6,2]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[3,8,7,4,1,6,5,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,8,3,6,1,5,7,2]=>[1,5,7,2,3,6,4,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,8,3,1,6,4,7,2]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[5,8,1,4,7,6,3,2]=>[1,4,7,2,3,5,8,6]=>[4,5,2,6,8,3,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,5,1,8,6,2,4,3]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,4,1,8,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[7,1,8,4,2,6,3,5]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[1,6,3,8,5,2,4,7]=>[1,6,2,4,7,3,8,5]=>[3,6,4,8,2,5,7,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,1,3,8,5,2,4,7]=>[1,3,8,2,4,7,5,6]=>[4,2,5,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[7,1,8,3,6,2,5,4]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[7,3,1,8,4,2,6,5]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,2,8,4,1,6,5,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,2,8,3,6,5,1,4]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[7,2,8,3,6,1,5,4]=>[1,5,2,8,3,6,4,7]=>[3,5,7,2,6,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,1,8,2,3,6,5,4]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,1,2,8,3,5,4,7]=>[1,2,8,3,5,4,7,6]=>[2,4,6,5,8,7,3,1]=>[[.,[[.,[[.,.],[[.,.],.]]],.]],.]
[1,5,2,3,8,4,7,6]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,1,2,3,8,4,7,6]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[6,2,4,1,8,7,3,5]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[6,3,1,4,2,8,5,7]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[3,1,6,4,2,8,5,7]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[2,6,3,8,7,1,5,4]=>[1,5,2,6,3,8,4,7]=>[3,5,7,2,4,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,6,3,8,5,1,4,7]=>[1,4,7,2,6,3,8,5]=>[4,6,2,8,5,3,7,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[2,5,1,3,8,4,7,6]=>[1,3,8,2,5,4,7,6]=>[4,2,6,5,8,7,3,1]=>[[[.,.],[[[.,.],[[.,.],.]],.]],.]
[1,2,5,3,8,4,7,6]=>[1,2,5,3,8,4,7,6]=>[2,4,6,3,8,7,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[2,4,8,3,7,1,6,5]=>[1,6,2,4,8,3,7,5]=>[3,6,4,8,2,7,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[2,4,8,3,7,6,1,5]=>[1,5,2,4,8,3,7,6]=>[3,6,4,2,8,7,5,1]=>[[[.,[[.,.],.]],[[[.,.],.],.]],.]
[2,5,3,8,1,7,4,6]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,3,1,4,8,2,7,6]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[4,8,2,3,7,6,1,5]=>[1,5,2,3,7,4,8,6]=>[3,4,6,2,8,5,7,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,8,1,2,3,7,6,5]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[1,4,8,2,3,7,6,5]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,3,8,1,5,2,4,7]=>[1,5,2,4,7,3,8,6]=>[3,6,4,2,8,5,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,3,8,1,2,4,7,6]=>[1,2,4,7,3,8,5,6]=>[2,5,3,7,8,4,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[5,1,3,8,2,4,7,6]=>[1,3,8,2,4,7,5,6]=>[4,2,5,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[1,5,3,8,2,4,7,6]=>[1,5,2,4,7,3,8,6]=>[3,6,4,2,8,5,7,1]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[5,1,4,8,2,7,6,3]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[6,5,1,2,8,7,4,3]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[5,3,1,6,4,2,8,7]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,1,6,2,8,7,4,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[4,1,5,8,2,7,6,3]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[4,1,2,5,8,7,6,3]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,4,2,5,8,7,6,3]=>[1,4,2,5,8,3,6,7]=>[3,6,2,4,7,8,5,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[1,3,5,2,8,7,4,6]=>[1,3,5,2,8,4,6,7]=>[4,2,6,3,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[3,5,1,2,8,7,4,6]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[3,6,2,8,7,5,1,4]=>[1,4,2,8,3,6,5,7]=>[3,5,2,7,6,8,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[4,2,6,1,8,7,3,5]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[4,3,1,5,8,2,7,6]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[3,4,8,7,2,6,1,5]=>[1,5,2,6,3,4,8,7]=>[3,5,6,2,4,8,7,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,4,8,7,1,2,6,5]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[3,4,8,1,7,2,6,5]=>[1,7,2,6,3,4,8,5]=>[3,5,6,8,4,2,7,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,3,1,2,5,8,7,6]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[3,1,4,2,5,8,7,6]=>[1,4,2,5,8,3,6,7]=>[3,6,2,4,7,8,5,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[2,3,5,1,8,7,6,4]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[6,4,1,2,7,3,5,8]=>[1,2,7,3,5,8,4,6]=>[2,4,7,5,8,3,6,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,3,7,5,4,1,8,6]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[6,3,1,5,4,2,7,8]=>[1,5,2,7,8,3,4,6]=>[3,6,7,2,8,4,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[7,8,1,5,4,2,6,3]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[7,8,3,5,4,1,6,2]=>[1,6,2,3,5,4,7,8]=>[3,4,6,5,2,7,8,1]=>[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]
[7,8,2,5,4,6,1,3]=>[1,3,2,5,4,6,7,8]=>[3,2,5,4,6,7,8,1]=>[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]
[6,2,1,5,4,7,3,8]=>[1,5,2,3,8,4,7,6]=>[3,4,6,2,8,7,5,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,3,6,2,4,7,1,8]=>[1,8,2,4,7,3,6,5]=>[3,6,4,8,7,5,2,1]=>[[[.,[[.,.],[[[.,.],.],.]]],.],.]
[6,4,2,1,7,3,8,5]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,3,7,5,8,6,1,2]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[4,2,7,1,8,3,6,5]=>[1,8,2,7,3,6,4,5]=>[3,5,7,8,6,4,2,1]=>[[[.,[[.,[[.,[.,.]],.]],.]],.],.]
[3,2,6,7,4,8,1,5]=>[1,5,2,6,7,3,4,8]=>[3,6,7,2,4,5,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[3,1,6,7,4,8,5,2]=>[1,6,7,2,3,4,8,5]=>[4,5,6,8,2,3,7,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,7,6,5,3,8,4,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,7,6,5,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,7,6,5,2,4,8,3]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,7,6,5,3,1,4,8]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[2,7,1,4,8,3,5,6]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,7,6,4,8,5,1,2]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,7,6,3,8,4,1,2]=>[1,2,3,8,4,5,7,6]=>[2,3,5,6,8,7,4,1]=>[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]
[5,1,6,2,4,8,3,7]=>[1,6,2,4,8,3,7,5]=>[3,6,4,8,2,7,5,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[4,7,6,5,2,1,3,8]=>[1,3,8,2,4,7,5,6]=>[4,2,5,7,8,6,3,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[4,7,6,5,2,8,1,3]=>[1,3,2,8,4,7,5,6]=>[3,2,5,7,8,6,4,1]=>[[[.,.],[[.,[[.,[.,.]],.]],.]],.]
[4,7,6,5,1,8,3,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[1,7,6,5,2,8,3,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,7,6,5,3,2,8,4]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,7,6,5,1,2,8,3]=>[1,2,8,3,4,7,5,6]=>[2,4,5,7,8,6,3,1]=>[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]
[4,7,6,5,3,1,8,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,1,3,5,4,8,7,2]=>[1,3,5,2,4,8,6,7]=>[4,2,5,3,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[5,2,6,3,4,1,7,8]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,2,6,3,4,8,7,5]=>[1,2,6,3,4,8,5,7]=>[2,4,5,7,3,8,6,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[1,7,2,4,8,3,6,5]=>[1,7,2,4,8,3,6,5]=>[3,6,4,8,7,2,5,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[6,1,4,2,8,3,5,7]=>[1,4,2,8,3,5,7,6]=>[3,5,2,6,8,7,4,1]=>[[[.,[.,.]],[[.,[[.,.],.]],.]],.]
[4,7,2,1,5,3,6,8]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,1,6,7,4,2,8,5]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[3,2,8,5,4,6,1,7]=>[1,7,2,8,3,4,6,5]=>[3,5,6,8,7,2,4,1]=>[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]
[4,7,1,2,5,3,8,6]=>[1,2,5,3,8,4,7,6]=>[2,4,6,3,8,7,5,1]=>[[.,[[.,[.,.]],[[[.,.],.],.]]],.]
[3,7,6,5,2,4,1,8]=>[1,8,2,4,3,7,5,6]=>[3,5,4,7,8,6,2,1]=>[[[.,[[.,.],[[.,[.,.]],.]]],.],.]
[3,7,6,5,1,4,8,2]=>[1,4,8,2,3,7,5,6]=>[4,5,2,7,8,6,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[3,7,6,5,2,1,8,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[1,7,6,5,8,2,4,3]=>[1,7,2,4,3,5,8,6]=>[3,5,4,6,8,2,7,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[3,7,6,5,8,1,4,2]=>[1,4,2,3,7,5,8,6]=>[3,4,2,6,8,5,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,7,6,8,3,5,1,2]=>[1,2,3,5,4,7,6,8]=>[2,3,5,4,7,6,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[2,7,6,5,1,4,3,8]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[2,7,6,5,8,1,3,4]=>[1,3,4,2,7,5,8,6]=>[4,2,3,6,8,5,7,1]=>[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]
[2,7,6,5,8,4,1,3]=>[1,3,2,7,4,5,8,6]=>[3,2,5,6,8,4,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[6,3,2,1,7,4,8,5]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,1,7,3,5,8,6]=>[1,7,2,3,5,8,4,6]=>[3,4,7,5,8,2,6,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,3,1,5,4,2,8,6]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[8,4,1,5,2,7,6,3]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,2,5,1,3,7,6,4]=>[1,3,7,2,5,4,6,8]=>[4,2,6,5,7,3,8,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[4,3,7,2,1,5,8,6]=>[1,5,8,2,3,7,4,6]=>[4,5,7,2,8,6,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,3,7,4,2,1,8,5]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[7,5,4,3,2,1,8,6]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[8,5,3,2,1,7,6,4]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,5,2,1,8,4,3,7]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[4,6,3,2,8,1,5,7]=>[1,5,7,2,8,3,4,6]=>[4,6,7,2,8,3,5,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,7,4,3,2,8,1,6]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,7,6,2,4,8,3,5]=>[1,7,2,4,8,3,5,6]=>[3,6,4,7,8,2,5,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[2,7,3,6,4,8,1,5]=>[1,5,2,7,3,6,4,8]=>[3,5,7,2,6,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,2,7,5,3,8,1,4]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[7,1,8,5,3,6,4,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[5,8,1,6,2,7,4,3]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,8,6,2,3,7,5,4]=>[1,8,2,3,7,4,5,6]=>[3,4,6,7,8,5,2,1]=>[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]
[1,8,6,3,2,7,5,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,8,3,2,7,1,6,4]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,3,1,6,5,4,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,2,6,1,5,4,3]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,8,5,7,4,3,6,2]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[1,8,5,7,2,4,6,3]=>[1,8,2,4,6,3,5,7]=>[3,6,4,7,5,8,2,1]=>[[[.,[[.,.],[[.,.],[.,.]]]],.],.]
[3,8,6,1,7,2,5,4]=>[1,7,2,5,3,8,4,6]=>[3,5,7,4,8,2,6,1]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[5,8,4,6,7,1,3,2]=>[1,3,2,4,6,7,5,8]=>[3,2,4,7,5,6,8,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[7,2,8,5,6,1,4,3]=>[1,4,2,8,3,5,6,7]=>[3,5,2,6,7,8,4,1]=>[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]
[6,3,7,5,8,2,1,4]=>[1,4,2,3,7,5,8,6]=>[3,4,2,6,8,5,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,7,2,6,8,4,1,5]=>[1,5,2,6,8,3,7,4]=>[3,6,8,2,4,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[3,6,5,8,1,4,2,7]=>[1,4,2,7,3,6,5,8]=>[3,5,2,7,6,4,8,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[6,5,4,8,3,2,1,7]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,3,5,1,8,4,2,7]=>[1,8,2,7,3,5,4,6]=>[3,5,7,6,8,4,2,1]=>[[[.,[[.,[[.,.],[.,.]]],.]],.],.]
[8,4,1,5,7,3,6,2]=>[1,5,7,2,3,6,4,8]=>[4,5,7,2,6,3,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[5,4,1,6,8,2,3,7]=>[1,6,8,2,3,7,4,5]=>[4,5,7,8,2,6,3,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,5,2,1,7,8,3,4]=>[1,7,8,2,3,4,5,6]=>[4,5,6,7,8,2,3,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[6,3,7,4,8,5,2,1]=>[1,2,3,7,4,8,5,6]=>[2,3,5,7,8,4,6,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[6,3,1,8,4,7,5,2]=>[1,8,2,3,4,7,5,6]=>[3,4,5,7,8,6,2,1]=>[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]
[6,4,2,8,7,3,5,1]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[6,5,3,8,7,4,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[8,5,3,7,6,4,2,1]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[5,4,8,1,7,6,2,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,2,8,1,7,3,6,4]=>[1,7,2,8,3,6,4,5]=>[3,5,7,8,6,2,4,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[6,4,8,2,1,7,5,3]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,7,3,8,1,6,4,2]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[6,3,7,8,5,2,4,1]=>[1,2,4,3,7,8,5,6]=>[2,4,3,7,8,5,6,1]=>[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]
[2,5,8,7,1,3,6,4]=>[1,3,6,2,5,8,4,7]=>[4,2,7,5,3,8,6,1]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[5,3,8,7,2,1,6,4]=>[1,6,2,3,8,4,5,7]=>[3,4,6,7,2,8,5,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,2,7,6,5,1,4,3]=>[1,4,2,7,3,5,6,8]=>[3,5,2,6,7,4,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,3,8,7,6,2,1,5]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[2,4,8,7,6,1,3,5]=>[1,3,5,2,4,8,6,7]=>[4,2,5,3,7,8,6,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[3,5,8,7,2,6,1,4]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[4,7,3,8,6,5,1,2]=>[1,2,3,8,4,7,5,6]=>[2,3,5,7,8,6,4,1]=>[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]
[7,5,8,6,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,7,8,6,1]=>[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]
[5,8,7,3,6,4,2,1]=>[1,2,3,6,4,5,8,7]=>[2,3,5,6,4,8,7,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[4,8,7,6,2,5,3,1]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,8,7,6,5,4,1,3]=>[1,3,2,8,4,5,6,7]=>[3,2,5,6,7,8,4,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[3,2,1,4,5,6,7,8,9]=>[1,4,5,6,7,8,9,2,3]=>[8,9,2,3,4,5,6,7,1]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,5,1,3,6,7,8,9]=>[1,3,6,7,8,9,2,5,4]=>[7,2,9,8,3,4,5,6,1]=>[[[.,.],[[[.,.],.],[.,[.,[.,.]]]]],.]
[5,4,3,2,1,6,7,8,9]=>[1,6,7,8,9,2,3,4,5]=>[6,7,8,9,2,3,4,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],.]
[7,6,5,4,3,2,1,8,9]=>[1,8,9,2,3,4,5,6,7]=>[4,5,6,7,8,9,2,3,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]
[8,6,9,4,7,2,5,1,3]=>[1,3,2,5,4,7,6,9,8]=>[3,2,5,4,7,6,9,8,1]=>[[[.,.],[[.,.],[[.,.],[[.,.],.]]]],.]
[8,7,6,5,4,3,2,1,9,10]=>[1,9,10,2,3,4,5,6,7,8]=>[4,5,6,7,8,9,10,2,3,1]=>[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.]
[3,7,5,8,2,4,1,6]=>[1,6,2,4,3,7,5,8]=>[3,5,4,7,2,6,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,8,5,7,2,4,1,6]=>[1,6,2,4,3,8,5,7]=>[3,5,4,7,2,8,6,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[5,1,7,8,4,3,2,6]=>[1,7,8,2,6,3,4,5]=>[4,6,7,8,5,2,3,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,1,2,6,4,3,8,7]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[6,1,2,5,4,3,8,7]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,1,2,6,5,3,8,7]=>[1,2,6,3,8,4,5,7]=>[2,4,6,7,3,8,5,1]=>[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]
[4,1,5,7,8,3,2,6]=>[1,5,7,8,2,6,3,4]=>[5,7,8,2,6,3,4,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[4,1,5,8,7,3,2,6]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,7,1,8,3,6,2,5]=>[1,8,2,5,3,6,4,7]=>[3,5,7,4,6,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,1,7,4,8,2,3,6]=>[1,7,2,3,6,4,8,5]=>[3,4,6,8,5,2,7,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[7,5,3,8,1,4,2,6]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,1,5,8,7,3,4,6]=>[1,5,8,2,3,4,6,7]=>[4,5,6,2,7,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[4,1,8,7,5,2,3,6]=>[1,8,2,3,6,4,5,7]=>[3,4,6,7,5,8,2,1]=>[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]
[6,1,2,3,7,5,8,4]=>[1,2,3,7,4,5,8,6]=>[2,3,5,6,8,4,7,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[7,1,2,3,8,6,5,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[7,1,2,3,5,8,6,4]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[6,8,1,4,3,7,2,5]=>[1,4,2,5,3,7,6,8]=>[3,5,2,4,7,6,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,7,3,2,4,1,6,5]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,1,7,3,4,8,6,5]=>[1,7,2,3,4,8,5,6]=>[3,4,5,7,8,2,6,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[7,8,3,2,4,1,6,5]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[6,7,1,4,3,8,2,5]=>[1,4,2,5,3,8,6,7]=>[3,5,2,4,7,8,6,1]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[8,1,2,3,5,7,6,4]=>[1,2,3,5,7,4,6,8]=>[2,3,6,4,7,5,8,1]=>[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]
[8,1,2,3,6,7,5,4]=>[1,2,3,6,7,4,5,8]=>[2,3,6,7,4,5,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,1,2,3,8,5,6,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[8,1,2,3,7,5,6,4]=>[1,2,3,7,4,5,6,8]=>[2,3,5,6,7,4,8,1]=>[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]
[8,1,2,3,6,5,7,4]=>[1,2,3,6,4,5,7,8]=>[2,3,5,6,4,7,8,1]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[7,1,8,5,4,3,2,6]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[7,8,2,6,3,4,1,5]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[6,8,2,7,3,4,1,5]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[6,7,2,8,3,4,1,5]=>[1,5,2,8,3,4,6,7]=>[3,5,6,2,7,8,4,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,8,7,1,4,2,6,5]=>[1,4,2,6,3,8,5,7]=>[3,5,2,7,4,8,6,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[3,7,8,1,4,2,6,5]=>[1,4,2,6,3,7,8,5]=>[3,5,2,8,4,6,7,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[3,6,8,1,4,2,7,5]=>[1,4,2,7,3,6,8,5]=>[3,5,2,8,6,4,7,1]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,5,7,8,2,4,1,6]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[3,6,7,1,4,2,8,5]=>[1,4,2,8,3,6,7,5]=>[3,5,2,8,6,7,4,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[8,6,2,7,3,1,4,5]=>[1,4,5,2,7,3,6,8]=>[4,6,2,3,7,5,8,1]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[8,1,7,5,4,3,2,6]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[8,1,7,4,5,3,2,6]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[5,8,3,7,1,4,2,6]=>[1,4,2,6,3,7,5,8]=>[3,5,2,7,4,6,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[6,7,3,2,4,1,8,5]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[8,7,2,4,3,6,1,5]=>[1,5,2,4,3,6,7,8]=>[3,5,4,2,6,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[6,1,2,3,8,7,4,5]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,1,2,3,8,7,6,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[5,1,2,3,8,6,7,4]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,1,2,3,5,8,7,4]=>[1,2,3,5,8,4,6,7]=>[2,3,6,4,7,8,5,1]=>[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]
[8,6,2,4,3,1,7,5]=>[1,7,2,4,3,5,6,8]=>[3,5,4,6,7,2,8,1]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[7,6,3,2,4,8,1,5]=>[1,5,2,4,8,3,6,7]=>[3,6,4,2,7,8,5,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[2,1,6,3,4,8,7,5]=>[1,6,2,3,4,8,5,7]=>[3,4,5,7,2,8,6,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,6,2,4,3,1,8,5]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[7,8,1,2,6,3,5,4]=>[1,2,6,3,5,4,7,8]=>[2,4,6,5,3,7,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[1,4,8,2,7,3,5,6]=>[1,4,8,2,7,3,5,6]=>[4,6,2,7,8,5,3,1]=>[[[.,[.,.]],[[[.,[.,.]],.],.]],.]
[1,2,8,5,4,7,3,6]=>[1,2,8,3,6,4,7,5]=>[2,4,6,8,5,7,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[2,3,6,8,4,7,1,5]=>[1,5,2,3,6,8,4,7]=>[3,4,7,2,5,8,6,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[1,3,6,8,4,7,5,2]=>[1,3,6,8,2,4,7,5]=>[5,2,6,8,3,7,4,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[2,4,8,1,7,3,6,5]=>[1,7,2,4,8,3,6,5]=>[3,6,4,8,7,2,5,1]=>[[[.,[[.,.],[[.,.],.]]],[.,.]],.]
[3,4,8,5,7,6,1,2]=>[1,2,3,4,8,5,7,6]=>[2,3,4,6,8,7,5,1]=>[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]
[7,4,6,1,5,2,3,8]=>[1,5,2,3,8,4,6,7]=>[3,4,6,2,7,8,5,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[7,1,4,2,6,3,5,8]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[6,8,1,4,7,2,3,5]=>[1,4,7,2,3,5,6,8]=>[4,5,2,6,7,3,8,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,6,3,8,5,4,2,7]=>[1,6,2,7,3,8,4,5]=>[3,5,7,8,2,4,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[6,8,1,7,3,5,4,2]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[7,1,3,6,5,4,2,8]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[7,3,1,6,5,4,2,8]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[7,1,2,3,6,5,4,8]=>[1,2,3,6,4,8,5,7]=>[2,3,5,7,4,8,6,1]=>[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]
[6,8,1,2,7,3,5,4]=>[1,2,7,3,5,4,6,8]=>[2,4,6,5,7,3,8,1]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,5,8,2,7,6,3,4]=>[1,5,8,2,7,3,4,6]=>[4,6,7,2,8,5,3,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[5,1,8,2,7,6,3,4]=>[1,8,2,7,3,4,5,6]=>[3,5,6,7,8,4,2,1]=>[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]
[5,8,2,7,6,3,4,1]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[6,2,8,1,7,3,5,4]=>[1,7,2,8,3,5,4,6]=>[3,5,7,6,8,2,4,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[6,8,2,1,7,4,3,5]=>[1,7,2,3,5,4,6,8]=>[3,4,6,5,7,2,8,1]=>[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]
[3,6,4,1,2,8,5,7]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[2,5,1,8,7,6,3,4]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[2,5,3,8,7,4,6,1]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[1,2,5,3,8,7,4,6]=>[1,2,5,3,8,4,6,7]=>[2,4,6,3,7,8,5,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[2,5,3,8,7,1,6,4]=>[1,6,2,5,3,8,4,7]=>[3,5,7,4,2,8,6,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,5,8,7,1,4,2,6]=>[1,4,2,6,3,5,8,7]=>[3,5,2,6,4,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,3,8,4,1,7,6,2]=>[1,7,2,3,8,4,5,6]=>[3,4,6,7,8,2,5,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[4,2,8,7,6,3,5,1]=>[1,2,8,3,5,4,6,7]=>[2,4,6,5,7,8,3,1]=>[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]
[4,2,8,7,6,5,3,1]=>[1,2,8,3,4,5,6,7]=>[2,4,5,6,7,8,3,1]=>[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]
[4,1,8,7,6,5,3,2]=>[1,8,2,3,4,5,6,7]=>[3,4,5,6,7,8,2,1]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[4,3,8,7,6,5,1,2]=>[1,2,3,8,4,5,6,7]=>[2,3,5,6,7,8,4,1]=>[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]
[6,3,1,8,7,2,5,4]=>[1,8,2,5,3,4,6,7]=>[3,5,6,4,7,8,2,1]=>[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]
[5,8,3,7,6,1,4,2]=>[1,4,2,3,7,5,8,6]=>[3,4,2,6,8,5,7,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[5,1,3,8,7,6,2,4]=>[1,3,8,2,4,5,6,7]=>[4,2,5,6,7,8,3,1]=>[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]
[1,5,3,8,7,6,2,4]=>[1,5,2,4,3,8,6,7]=>[3,5,4,2,7,8,6,1]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[1,5,8,4,7,2,6,3]=>[1,5,8,2,6,3,4,7]=>[4,6,7,2,5,8,3,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[5,1,8,4,7,2,6,3]=>[1,8,2,6,3,4,7,5]=>[3,5,6,8,4,7,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,8,7,4,6,1,2,3]=>[1,2,3,4,6,5,8,7]=>[2,3,4,6,5,8,7,1]=>[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]
[5,6,3,1,2,4,8,7]=>[1,2,4,8,3,5,6,7]=>[2,5,3,6,7,8,4,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[5,6,2,4,3,1,8,7]=>[1,8,2,4,3,5,6,7]=>[3,5,4,6,7,8,2,1]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[5,6,1,2,4,3,8,7]=>[1,2,4,3,8,5,6,7]=>[2,4,3,6,7,8,5,1]=>[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]
[4,5,8,1,7,2,3,6]=>[1,7,2,3,6,4,5,8]=>[3,4,6,7,5,2,8,1]=>[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]
[4,5,8,1,7,2,6,3]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[1,3,2,5,8,7,4,6]=>[1,3,2,5,8,4,6,7]=>[3,2,6,4,7,8,5,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[3,5,1,8,7,4,6,2]=>[1,8,2,3,5,4,6,7]=>[3,4,6,5,7,8,2,1]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[3,5,1,8,7,2,6,4]=>[1,8,2,6,3,5,4,7]=>[3,5,7,6,4,8,2,1]=>[[[.,[[.,[[.,.],.]],[.,.]]],.],.]
[4,3,6,1,2,8,5,7]=>[1,2,8,3,6,4,5,7]=>[2,4,6,7,5,8,3,1]=>[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]
[4,5,8,3,1,7,2,6]=>[1,7,2,6,3,4,5,8]=>[3,5,6,7,4,2,8,1]=>[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]
[4,5,2,8,7,1,3,6]=>[1,3,6,2,8,4,5,7]=>[4,2,6,7,3,8,5,1]=>[[[.,.],[[.,[.,.]],[[.,.],.]]],.]
[3,2,5,8,7,1,6,4]=>[1,6,2,5,8,3,4,7]=>[3,6,7,4,2,8,5,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[3,4,8,7,6,2,1,5]=>[1,5,2,3,4,8,6,7]=>[3,4,5,2,7,8,6,1]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,4,8,7,6,5,1,2]=>[1,2,3,4,8,5,6,7]=>[2,3,4,6,7,8,5,1]=>[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]
[1,3,4,8,7,6,2,5]=>[1,3,4,8,2,5,6,7]=>[5,2,3,6,7,8,4,1]=>[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]
[3,4,8,7,6,2,5,1]=>[1,2,5,3,4,8,6,7]=>[2,4,5,3,7,8,6,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[3,2,5,8,7,4,6,1]=>[1,2,5,8,3,4,6,7]=>[2,5,6,3,7,8,4,1]=>[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]
[4,5,8,3,1,7,6,2]=>[1,7,2,3,4,5,8,6]=>[3,4,5,6,8,2,7,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,1,3,5,8,7,4,6]=>[1,3,5,8,2,4,6,7]=>[5,2,6,3,7,8,4,1]=>[[[.,.],[[.,.],[[.,[.,.]],.]]],.]
[1,2,7,5,8,6,4,3]=>[1,2,7,3,4,5,8,6]=>[2,4,5,6,8,3,7,1]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[7,1,4,8,2,6,5,3]=>[1,4,8,2,6,3,5,7]=>[4,6,2,7,5,8,3,1]=>[[[.,[.,.]],[[[.,.],[.,.]],.]],.]
[6,8,1,3,7,5,2,4]=>[1,3,7,2,4,5,6,8]=>[4,2,5,6,7,3,8,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[3,7,8,1,2,6,5,4]=>[1,2,6,3,7,8,4,5]=>[2,4,7,8,3,5,6,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,3,7,8,2,6,5,4]=>[1,3,7,8,2,6,4,5]=>[5,2,7,8,6,3,4,1]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[2,3,7,8,1,6,5,4]=>[1,6,2,3,7,8,4,5]=>[3,4,7,8,2,5,6,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[2,7,8,1,3,6,5,4]=>[1,3,6,2,7,8,4,5]=>[4,2,7,8,3,5,6,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[2,6,8,3,7,1,5,4]=>[1,5,2,6,8,3,7,4]=>[3,6,8,2,4,7,5,1]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[2,8,6,4,7,1,5,3]=>[1,5,2,8,3,4,7,6]=>[3,5,6,2,8,7,4,1]=>[[[.,[.,[.,.]]],[[[.,.],.],.]],.]
[6,8,3,4,1,7,5,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[2,6,8,3,7,5,1,4]=>[1,4,2,6,8,3,7,5]=>[3,6,2,8,4,7,5,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[2,8,1,6,7,5,3,4]=>[1,6,7,2,8,3,4,5]=>[4,6,7,8,2,3,5,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,7,4,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[8,7,1,2,4,6,3,5]=>[1,2,4,6,3,5,7,8]=>[2,5,3,6,4,7,8,1]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[8,7,1,4,6,2,3,5]=>[1,4,6,2,3,5,7,8]=>[4,5,2,6,3,7,8,1]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,6,8,3,7,2,5,4]=>[1,6,8,2,5,3,7,4]=>[4,6,8,5,2,7,3,1]=>[[[.,[[.,[.,.]],.]],[[.,.],.]],.]
[8,3,5,7,1,2,6,4]=>[1,2,6,3,5,7,4,8]=>[2,4,7,5,3,6,8,1]=>[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]
[8,5,4,7,1,6,2,3]=>[1,6,2,3,4,7,5,8]=>[3,4,5,7,2,6,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,4,7,1,2,6,3]=>[1,2,6,3,4,7,5,8]=>[2,4,5,7,3,6,8,1]=>[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]
[1,6,5,8,2,7,4,3]=>[1,6,2,7,3,4,5,8]=>[3,5,6,7,2,4,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,5,6,3,1,7,4,2]=>[1,7,2,3,4,5,6,8]=>[3,4,5,6,7,2,8,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[5,6,2,8,1,7,4,3]=>[1,7,2,8,3,4,5,6]=>[3,5,6,7,8,2,4,1]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,8,4,5,7,2,6,3]=>[1,8,2,6,3,4,5,7]=>[3,5,6,7,4,8,2,1]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[5,8,7,3,6,1,2,4]=>[1,2,4,3,6,5,8,7]=>[2,4,3,6,5,8,7,1]=>[[.,[[.,.],[[.,.],[[.,.],.]]]],.]
[8,3,5,7,1,6,2,4]=>[1,6,2,4,3,5,7,8]=>[3,5,4,6,2,7,8,1]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,6,8,3,7,5,2,4]=>[1,6,8,2,4,3,7,5]=>[4,6,5,8,2,7,3,1]=>[[[.,[[.,.],[.,.]]],[[.,.],.]],.]
[6,3,8,2,7,5,1,4]=>[1,4,2,7,3,8,5,6]=>[3,5,2,7,8,4,6,1]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[6,8,4,2,7,1,5,3]=>[1,5,2,7,3,4,6,8]=>[3,5,6,2,7,4,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,6,4,7,3,1,5,2]=>[1,5,2,3,4,7,6,8]=>[3,4,5,2,7,6,8,1]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[8,4,5,7,3,1,6,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,3,4,7,2,6,1,5]=>[1,5,2,6,3,4,7,8]=>[3,5,6,2,4,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,3,7,2,4,6,1,5]=>[1,5,2,4,6,3,7,8]=>[3,6,4,2,5,7,8,1]=>[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]
[2,8,4,5,7,1,6,3]=>[1,6,2,8,3,4,5,7]=>[3,5,6,7,2,8,4,1]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[8,7,3,4,5,1,6,2]=>[1,6,2,3,4,5,7,8]=>[3,4,5,6,2,7,8,1]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[8,7,4,5,2,6,1,3]=>[1,3,2,6,4,5,7,8]=>[3,2,5,6,4,7,8,1]=>[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]
[5,8,7,2,3,6,1,4]=>[1,4,2,3,6,5,8,7]=>[3,4,2,6,5,8,7,1]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[8,7,2,3,4,6,1,5]=>[1,5,2,3,4,6,7,8]=>[3,4,5,2,6,7,8,1]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[8,7,2,3,6,1,4,5]=>[1,4,5,2,3,6,7,8]=>[4,5,2,3,6,7,8,1]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
Map
runsort
Description
The permutation obtained by sorting the increasing runs lexicographically.
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.
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