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]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
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.
searching the database
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