Identifier
Mp00159:
Permutations
—Demazure product with inverse⟶
Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00069: Permutations —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]=>[2,1]=>[1,2]=>[.,[.,.]]
[1,2,3]=>[1,2,3]=>[3,2,1]=>[[[.,.],.],.]
[1,3,2]=>[1,3,2]=>[3,1,2]=>[[.,.],[.,.]]
[2,1,3]=>[2,1,3]=>[2,3,1]=>[[.,[.,.]],.]
[2,3,1]=>[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]
[3,1,2]=>[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]
[3,2,1]=>[3,2,1]=>[1,2,3]=>[.,[.,[.,.]]]
[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>[[[[.,.],.],.],.]
[1,2,4,3]=>[1,2,4,3]=>[4,3,1,2]=>[[[.,.],.],[.,.]]
[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]=>[[[.,.],[.,.]],.]
[1,3,4,2]=>[1,4,3,2]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[1,4,2,3]=>[1,4,3,2]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[1,4,3,2]=>[1,4,3,2]=>[4,1,2,3]=>[[.,.],[.,[.,.]]]
[2,1,3,4]=>[2,1,3,4]=>[3,4,2,1]=>[[[.,[.,.]],.],.]
[2,1,4,3]=>[2,1,4,3]=>[3,4,1,2]=>[[.,[.,.]],[.,.]]
[2,3,1,4]=>[3,2,1,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[2,3,4,1]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[2,4,1,3]=>[3,4,1,2]=>[2,1,4,3]=>[[.,.],[[.,.],.]]
[2,4,3,1]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[3,1,2,4]=>[3,2,1,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[3,1,4,2]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[3,2,1,4]=>[3,2,1,4]=>[2,3,4,1]=>[[.,[.,[.,.]]],.]
[3,2,4,1]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[3,4,1,2]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[3,4,2,1]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,1,2,3]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,1,3,2]=>[4,2,3,1]=>[1,3,2,4]=>[.,[[.,.],[.,.]]]
[4,2,1,3]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,2,3,1]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,3,1,2]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]=>[.,[.,[.,[.,.]]]]
[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[[[[[.,.],.],.],.],.]
[1,2,3,5,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>[[[[.,.],.],.],[.,.]]
[1,2,4,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>[[[[.,.],.],[.,.]],.]
[1,2,4,5,3]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[1,2,5,3,4]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[1,2,5,4,3]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[[[.,.],.],[.,[.,.]]]
[1,3,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>[[[[.,.],[.,.]],.],.]
[1,3,2,5,4]=>[1,3,2,5,4]=>[5,3,4,1,2]=>[[[.,.],[.,.]],[.,.]]
[1,3,4,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,3,4,5,2]=>[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[1,3,5,2,4]=>[1,4,5,2,3]=>[5,2,1,4,3]=>[[[.,.],.],[[.,.],.]]
[1,3,5,4,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,4,2,3,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,2,5,3]=>[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[1,4,3,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]
[1,4,3,5,2]=>[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[1,4,5,2,3]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,4,5,3,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,5,2,3,4]=>[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[1,5,2,4,3]=>[1,5,3,4,2]=>[5,1,3,2,4]=>[[.,.],[[.,.],[.,.]]]
[1,5,3,2,4]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,5,3,4,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,5,4,2,3]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[1,5,4,3,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[[.,.],[.,[.,[.,.]]]]
[2,1,3,4,5]=>[2,1,3,4,5]=>[4,5,3,2,1]=>[[[[.,[.,.]],.],.],.]
[2,1,3,5,4]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]
[2,1,4,3,5]=>[2,1,4,3,5]=>[4,5,2,3,1]=>[[[.,[.,.]],[.,.]],.]
[2,1,4,5,3]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[2,1,5,3,4]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[2,1,5,4,3]=>[2,1,5,4,3]=>[4,5,1,2,3]=>[[.,[.,.]],[.,[.,.]]]
[2,3,1,4,5]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[2,3,1,5,4]=>[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[2,3,4,1,5]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[2,3,4,5,1]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[2,3,5,1,4]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[2,3,5,4,1]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[2,4,1,3,5]=>[3,4,1,2,5]=>[3,2,5,4,1]=>[[[.,.],[[.,.],.]],.]
[2,4,1,5,3]=>[3,5,1,4,2]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[2,4,3,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[2,4,3,5,1]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[2,4,5,1,3]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[2,4,5,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[2,5,1,3,4]=>[3,5,1,4,2]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[2,5,1,4,3]=>[3,5,1,4,2]=>[3,1,5,2,4]=>[[.,.],[[.,.],[.,.]]]
[2,5,3,1,4]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[2,5,3,4,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[2,5,4,1,3]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[2,5,4,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,1,2,4,5]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,1,2,5,4]=>[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,1,4,2,5]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,1,4,5,2]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[3,1,5,2,4]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,1,5,4,2]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[3,2,1,4,5]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[[[.,[.,[.,.]]],.],.]
[3,2,1,5,4]=>[3,2,1,5,4]=>[3,4,5,1,2]=>[[.,[.,[.,.]]],[.,.]]
[3,2,4,1,5]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[3,2,4,5,1]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[3,2,5,1,4]=>[4,2,5,1,3]=>[2,4,1,5,3]=>[[.,[.,.]],[[.,.],.]]
[3,2,5,4,1]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[3,4,1,2,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[3,4,1,5,2]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[3,4,2,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[3,4,2,5,1]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[3,4,5,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,4,5,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,5,1,2,4]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[3,5,1,4,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,5,2,1,4]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]
[3,5,2,4,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,5,4,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[3,5,4,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,1,2,3,5]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[4,1,2,5,3]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[4,1,3,2,5]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[[.,[[.,.],[.,.]]],.]
[4,1,3,5,2]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[4,1,5,2,3]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[4,1,5,3,2]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[4,2,1,3,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,2,1,5,3]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[4,2,3,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,2,3,5,1]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[4,2,5,1,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,2,5,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,3,1,2,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,3,1,5,2]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[[.,[.,[.,[.,.]]]],.]
[4,3,2,5,1]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[4,3,5,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,3,5,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,1,2,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,1,3,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,2,1,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,2,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,3,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[4,5,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,1,2,3,4]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,1,2,4,3]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]
[5,1,3,2,4]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,1,3,4,2]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,1,4,2,3]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,1,4,3,2]=>[5,2,4,3,1]=>[1,4,2,3,5]=>[.,[[.,.],[.,[.,.]]]]
[5,2,1,3,4]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,1,4,3]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[.,[[.,[.,.]],[.,.]]]
[5,2,3,1,4]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,2,3,4,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,2,4,1,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,2,4,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,1,2,4]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,1,4,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,2,1,4]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,2,4,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,4,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,3,4,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,1,2,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,1,3,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,2,1,3]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,2,3,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,3,1,2]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]
[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]
[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[[[[[.,.],.],.],.],[.,.]]
[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[[[[[.,.],.],.],[.,.]],.]
[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,3,6,4,5]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[[[[.,.],.],.],[.,[.,.]]]
[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]
[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[6,5,3,4,1,2]=>[[[[.,.],.],[.,.]],[.,.]]
[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,4,6,3,5]=>[1,2,5,6,3,4]=>[6,5,2,1,4,3]=>[[[[.,.],.],.],[[.,.],.]]
[1,2,4,6,5,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,5,3,4,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,5,3,6,4]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[[[[.,.],.],[.,[.,.]]],.]
[1,2,5,4,6,3]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,5,6,3,4]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,5,6,4,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,3,4,5]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,6,3,5,4]=>[1,2,6,4,5,3]=>[6,5,1,3,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,2,6,4,3,5]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,4,5,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,5,3,4]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[[[.,.],.],[.,[.,[.,.]]]]
[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[[[[[.,.],[.,.]],.],.],.]
[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[6,4,5,3,1,2]=>[[[[.,.],[.,.]],.],[.,.]]
[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]
[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,2,6,4,5]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[6,4,5,1,2,3]=>[[[.,.],[.,.]],[.,[.,.]]]
[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,3,4,6,2,5]=>[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[1,3,4,6,5,2]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,3,5,2,4,6]=>[1,4,5,2,3,6]=>[6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]
[1,3,5,2,6,4]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,5,4,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,3,5,4,6,2]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,3,5,6,2,4]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[1,3,5,6,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,3,6,2,4,5]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,6,2,5,4]=>[1,4,6,2,5,3]=>[6,3,1,5,2,4]=>[[[.,.],.],[[.,.],[.,.]]]
[1,3,6,4,2,5]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[1,3,6,4,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,3,6,5,2,4]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[1,3,6,5,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,2,3,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,4,2,3,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,4,2,5,3,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,2,5,6,3]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,4,2,6,3,5]=>[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[1,4,2,6,5,3]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[[[[.,.],[.,[.,.]]],.],.]
[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[6,3,4,5,1,2]=>[[[.,.],[.,[.,.]]],[.,.]]
[1,4,3,5,2,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,4,3,5,6,2]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,4,3,6,2,5]=>[1,5,3,6,2,4]=>[6,2,4,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[1,4,3,6,5,2]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,4,5,2,3,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,4,5,2,6,3]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,4,5,3,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,4,5,3,6,2]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,4,5,6,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,5,6,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,2,3,5]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[1,4,6,2,5,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,3,2,5]=>[1,5,6,4,2,3]=>[6,2,1,3,5,4]=>[[[.,.],.],[.,[[.,.],.]]]
[1,4,6,3,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,5,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,4,6,5,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,2,3,4,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,2,3,6,4]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,5,2,4,3,6]=>[1,5,3,4,2,6]=>[6,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[1,5,2,4,6,3]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,5,2,6,3,4]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,5,2,6,4,3]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,5,3,2,4,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,3,2,6,4]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,3,4,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,3,4,6,2]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,3,6,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,3,6,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,4,2,3,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,4,2,6,3]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],.]
[1,5,4,3,6,2]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,5,4,6,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,4,6,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,2,3,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,2,4,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,3,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,3,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,4,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,5,6,4,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,2,3,4,5]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,6,2,3,5,4]=>[1,6,3,4,5,2]=>[6,1,4,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[1,6,2,4,3,5]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,2,4,5,3]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,2,5,3,4]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,2,5,4,3]=>[1,6,3,5,4,2]=>[6,1,4,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[1,6,3,2,4,5]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,6,3,2,5,4]=>[1,6,4,3,5,2]=>[6,1,3,4,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[1,6,3,4,2,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,3,4,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,3,5,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,3,5,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,2,3,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,2,5,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,3,2,5]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,3,5,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,5,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,4,5,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,2,3,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,2,4,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,3,2,4]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,3,4,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,4,2,3]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[[.,.],[.,[.,[.,[.,.]]]]]
[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[[[[[.,[.,.]],.],.],.],.]
[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,.]]
[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[5,6,4,2,3,1]=>[[[[.,[.,.]],.],[.,.]],.]
[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,3,6,4,5]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[5,6,4,1,2,3]=>[[[.,[.,.]],.],[.,[.,.]]]
[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[5,6,3,4,2,1]=>[[[[.,[.,.]],[.,.]],.],.]
[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,.]]
[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,4,6,3,5]=>[2,1,5,6,3,4]=>[5,6,2,1,4,3]=>[[[.,[.,.]],.],[[.,.],.]]
[2,1,4,6,5,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,5,3,4,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,5,3,6,4]=>[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[5,6,2,3,4,1]=>[[[.,[.,.]],[.,[.,.]]],.]
[2,1,5,4,6,3]=>[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,5,6,3,4]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,5,6,4,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,3,4,5]=>[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,3,5,4]=>[2,1,6,4,5,3]=>[5,6,1,3,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,1,6,4,3,5]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,4,5,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,5,3,4]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]=>[[.,[.,.]],[.,[.,[.,.]]]]
[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,3,1,6,4,5]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,3,1,6,5,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[2,3,4,6,1,5]=>[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[2,3,4,6,5,1]=>[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[2,3,5,1,4,6]=>[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[2,3,5,1,6,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,3,5,4,1,6]=>[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[2,3,5,4,6,1]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[2,3,5,6,1,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,3,5,6,4,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[2,3,6,1,4,5]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,3,6,1,5,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[2,3,6,4,1,5]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,3,6,4,5,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[2,3,6,5,1,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[2,3,6,5,4,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[2,4,1,3,5,6]=>[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[[[[.,.],[[.,.],.]],.],.]
[2,4,1,3,6,5]=>[3,4,1,2,6,5]=>[4,3,6,5,1,2]=>[[[.,.],[[.,.],.]],[.,.]]
[2,4,1,5,3,6]=>[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,4,1,5,6,3]=>[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,4,1,6,3,5]=>[3,5,1,6,2,4]=>[4,2,6,1,5,3]=>[[[.,.],[.,.]],[[.,.],.]]
[2,4,1,6,5,3]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,4,3,1,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[2,4,3,1,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[2,4,3,5,1,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[2,4,3,5,6,1]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[2,4,3,6,1,5]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[2,4,3,6,5,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[2,4,5,1,3,6]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,4,5,1,6,3]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,4,5,3,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,4,5,3,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,4,5,6,1,3]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,4,5,6,3,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,4,6,1,3,5]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[[[.,.],.],[[[.,.],.],.]]
[2,4,6,1,5,3]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,4,6,3,1,5]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[2,4,6,3,5,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[2,4,6,5,1,3]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,4,6,5,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,5,1,3,4,6]=>[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,5,1,3,6,4]=>[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,5,1,4,3,6]=>[3,5,1,4,2,6]=>[4,2,6,3,5,1]=>[[[.,.],[[.,.],[.,.]]],.]
[2,5,1,4,6,3]=>[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,5,1,6,3,4]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,5,1,6,4,3]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,5,3,1,4,6]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,5,3,1,6,4]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,5,3,4,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,5,3,4,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,5,3,6,1,4]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,5,3,6,4,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,5,4,1,3,6]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[2,5,4,1,6,3]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,5,4,3,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[2,5,4,3,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[2,5,4,6,1,3]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,5,4,6,3,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,5,6,1,3,4]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,5,6,1,4,3]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,5,6,3,1,4]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,5,6,3,4,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,5,6,4,1,3]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,5,6,4,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,6,1,3,4,5]=>[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,1,3,5,4]=>[3,6,1,4,5,2]=>[4,1,6,3,2,5]=>[[.,.],[[[.,.],.],[.,.]]]
[2,6,1,4,3,5]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,1,4,5,3]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,1,5,3,4]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,1,5,4,3]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]=>[[.,.],[[.,.],[.,[.,.]]]]
[2,6,3,1,4,5]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,3,1,5,4]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[2,6,3,4,1,5]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,6,3,4,5,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,6,3,5,1,4]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[2,6,3,5,4,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[2,6,4,1,3,5]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,4,1,5,3]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,4,3,1,5]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,6,4,3,5,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,6,4,5,1,3]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,6,4,5,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,6,5,1,3,4]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,5,1,4,3]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]=>[[.,.],[.,[[.,.],[.,.]]]]
[2,6,5,3,1,4]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,6,5,3,4,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[2,6,5,4,1,3]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[2,6,5,4,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,1,2,4,5,6]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[3,1,2,4,6,5]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,1,2,5,4,6]=>[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,1,2,5,6,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,1,2,6,4,5]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,1,2,6,5,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,1,4,2,5,6]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[3,1,4,2,6,5]=>[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,1,4,5,2,6]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[3,1,4,5,6,2]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[3,1,4,6,2,5]=>[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,1,4,6,5,2]=>[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,1,5,2,4,6]=>[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,1,5,2,6,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,1,5,4,2,6]=>[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,1,5,4,6,2]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,1,5,6,2,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,5,6,4,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,1,6,2,4,5]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,1,6,2,5,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,1,6,4,2,5]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,6,4,5,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,1,6,5,2,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,1,6,5,4,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[[[[.,[.,[.,.]]],.],.],.]
[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[4,5,6,3,1,2]=>[[[.,[.,[.,.]]],.],[.,.]]
[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[4,5,6,2,3,1]=>[[[.,[.,[.,.]]],[.,.]],.]
[3,2,1,5,6,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,1,6,4,5]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[[.,[.,[.,.]]],[.,[.,.]]]
[3,2,4,1,5,6]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,[[.,.],[.,.]]],.],.]
[3,2,4,1,6,5]=>[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[.,[[.,.],[.,.]]],[.,.]]
[3,2,4,5,1,6]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,[[[.,.],.],[.,.]]],.]
[3,2,4,5,6,1]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[3,2,4,6,1,5]=>[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[.,[[.,.],.]],[[.,.],.]]
[3,2,4,6,5,1]=>[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,2,5,1,4,6]=>[4,2,5,1,3,6]=>[3,5,2,6,4,1]=>[[[.,[.,.]],[[.,.],.]],.]
[3,2,5,1,6,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,5,4,1,6]=>[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[.,[[.,.],[.,[.,.]]]],.]
[3,2,5,4,6,1]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[3,2,5,6,1,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,5,6,4,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,2,6,1,4,5]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,1,5,4]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]=>[[.,[.,.]],[[.,.],[.,.]]]
[3,2,6,4,1,5]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,6,4,5,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,2,6,5,1,4]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,2,6,5,4,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,4,1,2,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,[.,[.,[.,.]]]],.],.]
[3,4,1,2,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,4,1,5,2,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[3,4,1,5,6,2]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[3,4,1,6,2,5]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[3,4,1,6,5,2]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[3,4,2,1,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[3,4,2,5,1,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
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[3,4,6,1,2,5]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[3,4,6,1,5,2]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
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[3,4,6,2,5,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
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[3,5,1,4,6,2]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[3,5,1,6,4,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,5,2,1,4,6]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],[.,[[.,.],.]]],.]
[3,5,2,1,6,4]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,5,2,4,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,5,2,4,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,5,2,6,1,4]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[3,5,2,6,4,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,5,4,1,2,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,[.,[.,[.,[.,.]]]]],.]
[3,5,4,1,6,2]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[3,5,4,2,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[3,5,4,6,1,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[3,5,6,1,2,4]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[3,5,6,1,4,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[3,6,1,4,2,5]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,1,4,5,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[3,6,2,1,4,5]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,6,2,1,5,4]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,.],[[.,[.,.]],[.,.]]]
[3,6,2,4,1,5]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
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[3,6,2,5,4,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
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[3,6,5,4,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,6,5,4,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[4,1,2,6,5,3]=>[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,.],.],[.,[.,.]]]]
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[4,1,5,2,6,3]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
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[4,1,5,6,3,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,2,3,5]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,1,6,2,5,3]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,3,2,5]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]=>[[.,[.,.]],[.,[[.,.],.]]]
[4,1,6,3,5,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,5,2,3]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,1,6,5,3,2]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
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[4,2,6,1,3,5]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,2,6,1,5,3]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,2,6,3,1,5]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,[.,.]],[[.,[.,.]],.]]
[4,2,6,3,5,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[4,2,6,5,1,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[4,2,6,5,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,[.,[.,.]]]],[.,.]]
[4,3,2,5,1,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,[[.,[.,.]],[.,.]]],.]
[4,3,2,5,6,1]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,3,2,6,1,5]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,[.,[.,.]]],[[.,.],.]]
[4,3,2,6,5,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
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[4,3,5,1,6,2]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
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[6,5,1,2,3,4]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,2,4,3]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,3,2,4]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,3,4,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,4,2,3]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,1,4,3,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[6,5,2,1,3,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,1,4,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,3,1,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[6,5,2,4,1,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
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[6,5,3,1,2,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,1,4,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,2,1,4]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,2,4,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,4,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,2,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,3,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,2,1,3]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,2,3,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]
[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[[[[[[.,.],.],.],.],.],[.,.]]
[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[[[[[[.,.],.],.],.],[.,.]],.]
[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,.],.],.],.],[.,[.,.]]]
[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]
[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[7,6,5,3,4,1,2]=>[[[[[.,.],.],.],[.,.]],[.,.]]
[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,5,7,4,6]=>[1,2,3,6,7,4,5]=>[7,6,5,2,1,4,3]=>[[[[[.,.],.],.],.],[[.,.],.]]
[1,2,3,5,7,6,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,6,4,7,5]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]
[1,2,3,6,5,7,4]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,6,7,4,5]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,6,7,5,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,4,5,6]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,7,4,6,5]=>[1,2,3,7,5,6,4]=>[7,6,5,1,3,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,3,7,5,4,6]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,5,6,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,6,4,5]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[[[[.,.],.],.],[.,[.,[.,.]]]]
[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[7,6,4,5,3,1,2]=>[[[[[.,.],.],[.,.]],.],[.,.]]
[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,6,4,5,2,3,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]
[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,3,7,5,6]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[7,6,4,5,1,2,3]=>[[[[.,.],.],[.,.]],[.,[.,.]]]
[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,4,5,7,3,6]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,4,5,7,6,3]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,4,6,3,5,7]=>[1,2,5,6,3,4,7]=>[7,6,3,2,5,4,1]=>[[[[[.,.],.],.],[[.,.],.]],.]
[1,2,4,6,3,7,5]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,6,5,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,4,6,5,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,4,6,7,3,5]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,4,6,7,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,7,3,5,6]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,7,3,6,5]=>[1,2,5,7,3,6,4]=>[7,6,3,1,5,2,4]=>[[[[.,.],.],.],[[.,.],[.,.]]]
[1,2,4,7,5,3,6]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,4,7,5,6,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,4,7,6,3,5]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,4,7,6,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,3,4,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,5,3,4,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,5,3,6,4,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,5,3,6,7,4]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,5,3,7,4,6]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,3,7,6,4]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]
[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>[7,6,3,4,5,1,2]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
[1,2,5,4,6,3,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,5,4,6,7,3]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,5,4,7,3,6]=>[1,2,6,4,7,3,5]=>[7,6,2,4,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,2,5,4,7,6,3]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,5,6,3,4,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,5,6,3,7,4]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,5,6,4,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,5,6,4,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,5,6,7,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,6,7,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,3,4,6]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,5,7,3,6,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,4,3,6]=>[1,2,6,7,5,3,4]=>[7,6,2,1,3,5,4]=>[[[[.,.],.],.],[.,[[.,.],.]]]
[1,2,5,7,4,6,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,6,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,5,7,6,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,3,4,5,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,6,3,4,7,5]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,6,3,5,4,7]=>[1,2,6,4,5,3,7]=>[7,6,2,4,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,2,6,3,5,7,4]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,6,3,7,4,5]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,6,3,7,5,4]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,6,4,3,5,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,4,3,7,5]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,4,5,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,4,5,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,4,7,3,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,4,7,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,5,3,4,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,5,3,7,4]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]
[1,2,6,5,4,7,3]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,6,5,7,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,5,7,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,3,4,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,3,5,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,4,3,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,4,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,5,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,6,7,5,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,3,4,5,6]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,7,3,4,6,5]=>[1,2,7,4,5,6,3]=>[7,6,1,4,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,2,7,3,5,4,6]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,3,5,6,4]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,3,6,4,5]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,3,6,5,4]=>[1,2,7,4,6,5,3]=>[7,6,1,4,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,2,7,4,3,5,6]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,7,4,3,6,5]=>[1,2,7,5,4,6,3]=>[7,6,1,3,4,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,2,7,4,5,3,6]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,4,5,6,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,4,6,3,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,4,6,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,3,4,6]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,3,6,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,4,3,6]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,4,6,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,6,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,5,6,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,3,4,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,3,5,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,4,3,5]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,4,5,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,5,3,4]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[[[.,.],.],[.,[.,[.,[.,.]]]]]
[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[[[[[[.,.],[.,.]],.],.],.],.]
[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[7,5,6,4,3,1,2]=>[[[[[.,.],[.,.]],.],.],[.,.]]
[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,.]],.]
[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,4,7,5,6]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[7,5,6,4,1,2,3]=>[[[[.,.],[.,.]],.],[.,[.,.]]]
[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,5,6,3,4,2,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]
[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[7,5,6,3,4,1,2]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,5,7,4,6]=>[1,3,2,6,7,4,5]=>[7,5,6,2,1,4,3]=>[[[[.,.],[.,.]],.],[[.,.],.]]
[1,3,2,5,7,6,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,6,4,5,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,6,4,7,5]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[7,5,6,2,3,4,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]
[1,3,2,6,5,7,4]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,6,7,4,5]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,6,7,5,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,4,5,6]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,7,4,6,5]=>[1,3,2,7,5,6,4]=>[7,5,6,1,3,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,2,7,5,4,6]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,5,6,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,6,4,5]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[7,5,6,1,2,3,4]=>[[[.,.],[.,.]],[.,[.,[.,.]]]]
[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,4,2,7,5,6]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,4,2,7,6,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,3,4,5,7,2,6]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,3,4,5,7,6,2]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,3,4,6,2,5,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,3,4,6,2,7,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,4,6,5,2,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,3,4,6,5,7,2]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,3,4,6,7,2,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,4,6,7,5,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,4,7,2,5,6]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,4,7,2,6,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,3,4,7,5,2,6]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,4,7,5,6,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,4,7,6,2,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,3,4,7,6,5,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,3,5,2,4,6,7]=>[1,4,5,2,3,6,7]=>[7,4,3,6,5,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]
[1,3,5,2,4,7,6]=>[1,4,5,2,3,7,6]=>[7,4,3,6,5,1,2]=>[[[[.,.],.],[[.,.],.]],[.,.]]
[1,3,5,2,6,4,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,5,2,6,7,4]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,5,2,7,4,6]=>[1,4,6,2,7,3,5]=>[7,4,2,6,1,5,3]=>[[[[.,.],.],[.,.]],[[.,.],.]]
[1,3,5,2,7,6,4]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,5,4,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,3,5,4,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,3,5,4,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,3,5,4,6,7,2]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,3,5,4,7,2,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,3,5,4,7,6,2]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,3,5,6,2,4,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,3,5,6,2,7,4]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,5,6,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,3,5,6,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,3,5,6,7,2,4]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,5,6,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,5,7,2,4,6]=>[1,5,6,7,2,3,4]=>[7,3,2,1,6,5,4]=>[[[[.,.],.],.],[[[.,.],.],.]]
[1,3,5,7,2,6,4]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,5,7,4,2,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,3,5,7,4,6,2]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,3,5,7,6,2,4]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,5,7,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,6,2,4,5,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,6,2,4,7,5]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,6,2,5,4,7]=>[1,4,6,2,5,3,7]=>[7,4,2,6,3,5,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]
[1,3,6,2,5,7,4]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,6,2,7,4,5]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,6,2,7,5,4]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,6,4,2,5,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,3,6,4,2,7,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,6,4,5,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,3,6,4,5,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,3,6,4,7,2,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,6,4,7,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,6,5,2,4,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,3,6,5,2,7,4]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,6,5,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,3,6,5,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,3,6,5,7,2,4]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,6,5,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,6,7,2,4,5]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,6,7,2,5,4]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,6,7,4,2,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,6,7,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,6,7,5,2,4]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,6,7,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,2,4,5,6]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,7,2,4,6,5]=>[1,4,7,2,5,6,3]=>[7,4,1,6,3,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[1,3,7,2,5,4,6]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,2,5,6,4]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,2,6,4,5]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,2,6,5,4]=>[1,4,7,2,6,5,3]=>[7,4,1,6,2,3,5]=>[[[.,.],.],[[.,.],[.,[.,.]]]]
[1,3,7,4,2,5,6]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,7,4,2,6,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,3,7,4,5,2,6]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,7,4,5,6,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,7,4,6,2,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,3,7,4,6,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,3,7,5,2,4,6]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,5,2,6,4]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,5,4,2,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,5,4,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,5,6,2,4]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,5,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,6,2,4,5]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,6,2,5,4]=>[1,5,7,6,2,4,3]=>[7,3,1,2,6,4,5]=>[[[.,.],.],[.,[[.,.],[.,.]]]]
[1,3,7,6,4,2,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,6,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,3,7,6,5,2,4]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,3,7,6,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,2,3,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,4,2,3,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,2,3,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,4,2,3,6,7,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,2,3,7,5,6]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,2,3,7,6,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,2,5,3,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,4,2,5,3,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,4,2,5,6,3,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,4,2,5,6,7,3]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,4,2,5,7,3,6]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,4,2,5,7,6,3]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,4,2,6,3,5,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,2,6,3,7,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,6,5,3,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,4,2,6,5,7,3]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,4,2,6,7,3,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,2,6,7,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,2,7,3,5,6]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,7,3,6,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,2,7,5,3,6]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,2,7,5,6,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,2,7,6,3,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,2,7,6,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[7,4,5,6,3,1,2]=>[[[[.,.],[.,[.,.]]],.],[.,.]]
[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,4,5,6,2,3,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]
[1,4,3,2,6,7,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,2,7,5,6]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[7,4,5,6,1,2,3]=>[[[.,.],[.,[.,.]]],[.,[.,.]]]
[1,4,3,5,2,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,4,3,5,2,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,4,3,5,6,2,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,4,3,5,6,7,2]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,4,3,5,7,2,6]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,4,3,5,7,6,2]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,4,3,6,2,5,7]=>[1,5,3,6,2,4,7]=>[7,3,5,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[1,4,3,6,2,7,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,6,5,2,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,4,3,6,5,7,2]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,4,3,6,7,2,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,3,6,7,5,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,3,7,2,5,6]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,7,2,6,5]=>[1,5,3,7,2,6,4]=>[7,3,5,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[1,4,3,7,5,2,6]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,3,7,5,6,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,3,7,6,2,5]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,4,3,7,6,5,2]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,4,5,2,3,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,4,5,2,3,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,4,5,2,6,3,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,5,2,6,7,3]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,4,5,2,7,3,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,5,2,7,6,3]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,5,3,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,4,5,3,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,4,5,3,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,4,5,3,6,7,2]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,4,5,3,7,2,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,4,5,3,7,6,2]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,4,5,6,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,5,6,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,5,6,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,5,6,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,5,6,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,5,6,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,5,7,2,3,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,4,5,7,2,6,3]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,5,7,3,2,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,4,5,7,3,6,2]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,4,5,7,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,5,7,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,6,2,3,5,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,4,6,2,3,7,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,6,2,5,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,6,2,5,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,6,2,7,3,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,6,2,7,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,6,3,2,5,7]=>[1,5,6,4,2,3,7]=>[7,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]
[1,4,6,3,2,7,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,6,3,5,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,6,3,5,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,6,3,7,2,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,6,3,7,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,6,5,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,6,5,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,6,5,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,4,6,5,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,4,6,5,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,6,5,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,6,7,2,3,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,6,7,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,6,7,3,2,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,6,7,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,6,7,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,6,7,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,2,3,5,6]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,2,3,6,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,2,5,3,6]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,2,5,6,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,2,6,3,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,2,6,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,3,2,5,6]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,3,2,6,5]=>[1,5,7,4,2,6,3]=>[7,3,1,4,6,2,5]=>[[[.,.],.],[[.,[.,.]],[.,.]]]
[1,4,7,3,5,2,6]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,3,5,6,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,3,6,2,5]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,4,7,3,6,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,4,7,5,2,3,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,5,2,6,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,5,3,2,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,5,3,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,5,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,5,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,2,3,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,6,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,3,2,5]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,4,7,6,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,4,7,6,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,2,3,4,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,5,2,3,4,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,2,3,6,4,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,5,2,3,6,7,4]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,5,2,3,7,4,6]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,2,3,7,6,4]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,5,2,4,3,6,7]=>[1,5,3,4,2,6,7]=>[7,3,5,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[1,5,2,4,3,7,6]=>[1,5,3,4,2,7,6]=>[7,3,5,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[1,5,2,4,6,3,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,5,2,4,6,7,3]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,5,2,4,7,3,6]=>[1,6,3,4,7,2,5]=>[7,2,5,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[1,5,2,4,7,6,3]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,5,2,6,3,4,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,5,2,6,3,7,4]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,5,2,6,4,3,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,5,2,6,4,7,3]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,5,2,6,7,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,6,7,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,3,4,6]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,2,7,3,6,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,4,3,6]=>[1,6,3,7,5,2,4]=>[7,2,5,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[1,5,2,7,4,6,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,6,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,2,7,6,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,5,3,2,4,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,3,2,4,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,3,2,6,4,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,3,2,6,7,4]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,3,2,7,4,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,3,2,7,6,4]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,3,4,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,3,4,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,3,4,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,3,4,6,7,2]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,3,4,7,2,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,3,4,7,6,2]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,3,6,2,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,3,6,2,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,3,6,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,3,6,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,3,6,7,2,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,3,6,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,3,7,2,4,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,3,7,2,6,4]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,3,7,4,2,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,3,7,4,6,2]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,3,7,6,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,3,7,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,4,2,3,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,4,2,3,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,2,6,3,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,4,2,6,7,3]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,4,2,7,3,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,4,2,7,6,3]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[7,3,4,5,6,1,2]=>[[[.,.],[.,[.,[.,.]]]],[.,.]]
[1,5,4,3,6,2,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,5,4,3,6,7,2]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,5,4,3,7,2,6]=>[1,6,4,3,7,2,5]=>[7,2,4,5,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[1,5,4,3,7,6,2]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,5,4,6,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,4,6,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,4,6,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,4,6,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,4,6,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,4,6,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,4,7,2,3,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,4,7,2,6,3]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,4,7,3,2,6]=>[1,6,5,7,3,2,4]=>[7,2,3,1,5,6,4]=>[[[.,.],[.,.]],[[.,[.,.]],.]]
[1,5,4,7,3,6,2]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,5,4,7,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,4,7,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,2,3,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,2,3,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,2,4,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,2,4,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,2,7,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,2,7,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,3,2,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,3,2,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,3,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,3,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,3,7,2,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,3,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,4,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,4,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,4,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,4,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,5,6,4,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,4,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,7,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,6,7,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,2,3,4,6]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,7,2,3,6,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,2,4,3,6]=>[1,6,7,4,5,2,3]=>[7,2,1,4,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[1,5,7,2,4,6,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,2,6,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,2,6,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,5,7,3,2,4,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,3,2,6,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,3,4,2,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,3,4,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,3,6,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,3,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,2,3,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,4,2,6,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,3,2,6]=>[1,6,7,5,4,2,3]=>[7,2,1,3,4,6,5]=>[[[.,.],.],[.,[.,[[.,.],.]]]]
[1,5,7,4,3,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,4,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,5,7,6,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,2,3,4,5,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,6,2,3,4,7,5]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,6,2,3,5,4,7]=>[1,6,3,4,5,2,7]=>[7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[1,6,2,3,5,7,4]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,6,2,3,7,4,5]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,6,2,3,7,5,4]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,6,2,4,3,5,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,4,3,7,5]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,4,5,3,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,4,5,7,3]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,4,7,3,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,4,7,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,5,3,4,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,5,3,7,4]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,5,4,3,7]=>[1,6,3,5,4,2,7]=>[7,2,5,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[1,6,2,5,4,7,3]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,6,2,5,7,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,5,7,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,3,4,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,3,5,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,4,3,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,4,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,5,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,2,7,5,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,6,3,2,4,5,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,3,2,4,7,5]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,6,3,2,5,4,7]=>[1,6,4,3,5,2,7]=>[7,2,4,5,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[1,6,3,2,5,7,4]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,6,3,2,7,4,5]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,6,3,2,7,5,4]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,6,3,4,2,5,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,3,4,2,7,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,3,4,5,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,3,4,5,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,3,4,7,2,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,4,7,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,5,2,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,3,5,2,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,3,5,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,3,5,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,3,5,7,2,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,5,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,3,7,2,4,5]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,6,3,7,2,5,4]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,6,3,7,4,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,3,7,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,3,7,5,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,3,7,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,2,3,5,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,2,3,7,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,2,5,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,2,5,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,2,7,3,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,2,7,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,3,2,5,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,3,2,7,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,3,5,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,3,5,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,3,7,2,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,3,7,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,5,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,5,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,5,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,5,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,4,5,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,5,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,4,7,2,3,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,3,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,4,7,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,2,3,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,2,3,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,2,4,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,2,4,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,2,7,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,2,7,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,3,2,4,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,3,2,7,4]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,3,4,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,3,4,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,3,7,2,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,3,7,4,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,4,2,3,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,4,2,7,3]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]
[1,6,5,4,3,7,2]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,6,5,4,7,2,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,4,7,3,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,5,7,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,5,7,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,2,3,4,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,3,5,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,4,3,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,4,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,5,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,2,5,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,6,7,3,2,4,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,2,5,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,4,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,5,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,3,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,2,3,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,3,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,4,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,6,7,5,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,2,3,4,5,6]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,7,2,3,4,6,5]=>[1,7,3,4,5,6,2]=>[7,1,5,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[1,7,2,3,5,4,6]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,3,5,6,4]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,3,6,4,5]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,3,6,5,4]=>[1,7,3,4,6,5,2]=>[7,1,5,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[1,7,2,4,3,5,6]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,2,4,3,6,5]=>[1,7,3,5,4,6,2]=>[7,1,5,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[1,7,2,4,5,3,6]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,4,5,6,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,4,6,3,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,4,6,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,3,4,6]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,3,6,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,4,3,6]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,4,6,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,6,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,5,6,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,3,4,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,3,5,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,4,3,5]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,4,5,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,5,3,4]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,2,6,5,4,3]=>[1,7,3,6,5,4,2]=>[7,1,5,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[1,7,3,2,4,5,6]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,3,2,4,6,5]=>[1,7,4,3,5,6,2]=>[7,1,4,5,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[1,7,3,2,5,4,6]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,2,5,6,4]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,2,6,4,5]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,2,6,5,4]=>[1,7,4,3,6,5,2]=>[7,1,4,5,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[1,7,3,4,2,5,6]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,3,4,2,6,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,3,4,5,2,6]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,4,5,6,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,4,6,2,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,4,6,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,3,5,2,4,6]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,5,2,6,4]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,5,4,2,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,5,4,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,5,6,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,5,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,2,4,5]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,6,2,5,4]=>[1,7,5,6,3,4,2]=>[7,1,3,2,5,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[1,7,3,6,4,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,5,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,3,6,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,2,3,5,6]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,2,3,6,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,2,5,3,6]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,2,5,6,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,2,6,3,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,2,6,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,2,5,6]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,3,2,6,5]=>[1,7,5,4,3,6,2]=>[7,1,3,4,5,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[1,7,4,3,5,2,6]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,5,6,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,6,2,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,3,6,5,2]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,4,5,2,3,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,2,6,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,3,2,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,3,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,5,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,2,3,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,3,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,4,6,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,2,3,4,6]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,3,6,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,4,3,6]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,4,6,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,6,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,2,6,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,5,3,2,4,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,2,6,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,4,2,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,4,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,6,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,3,6,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,2,3,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,2,6,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,3,2,6]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,3,6,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,6,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,4,6,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,5,6,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,2,3,4,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,3,5,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,4,3,5]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,4,5,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,5,3,4]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,2,5,4,3]=>[1,7,6,4,5,3,2]=>[7,1,2,4,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[1,7,6,3,2,4,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,2,5,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,4,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,4,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,5,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,3,5,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,2,3,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,2,5,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,3,2,5]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,3,5,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,5,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,4,5,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,2,3,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,2,4,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,3,2,4]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,3,4,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,4,2,3]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[[.,.],[.,[.,[.,[.,[.,.]]]]]]
[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[[[[[[.,[.,.]],.],.],.],.],.]
[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,.]]
[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[6,7,5,4,2,3,1]=>[[[[[.,[.,.]],.],.],[.,.]],.]
[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,4,7,5,6]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[6,7,5,4,1,2,3]=>[[[[.,[.,.]],.],.],[.,[.,.]]]
[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[6,7,5,3,4,2,1]=>[[[[[.,[.,.]],.],[.,.]],.],.]
[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[6,7,5,3,4,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]
[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,5,7,4,6]=>[2,1,3,6,7,4,5]=>[6,7,5,2,1,4,3]=>[[[[.,[.,.]],.],.],[[.,.],.]]
[2,1,3,5,7,6,4]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,6,4,5,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,3,6,4,7,5]=>[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[6,7,5,2,3,4,1]=>[[[[.,[.,.]],.],[.,[.,.]]],.]
[2,1,3,6,5,7,4]=>[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,6,7,4,5]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,6,7,5,4]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,4,5,6]=>[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,7,4,6,5]=>[2,1,3,7,5,6,4]=>[6,7,5,1,3,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,3,7,5,4,6]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,5,6,4]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,6,4,5]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[6,7,5,1,2,3,4]=>[[[.,[.,.]],.],[.,[.,[.,.]]]]
[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[6,7,4,5,3,2,1]=>[[[[[.,[.,.]],[.,.]],.],.],.]
[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[6,7,4,5,3,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,.]]
[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,[.,.]],[.,.]],[.,.]],.]
[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,3,7,5,6]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[6,7,4,5,1,2,3]=>[[[.,[.,.]],[.,.]],[.,[.,.]]]
[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,4,5,7,3,6]=>[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,4,5,7,6,3]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,4,6,3,5,7]=>[2,1,5,6,3,4,7]=>[6,7,3,2,5,4,1]=>[[[[.,[.,.]],.],[[.,.],.]],.]
[2,1,4,6,3,7,5]=>[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,6,5,3,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,4,6,5,7,3]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,4,6,7,3,5]=>[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,4,6,7,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,4,7,3,5,6]=>[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,7,3,6,5]=>[2,1,5,7,3,6,4]=>[6,7,3,1,5,2,4]=>[[[.,[.,.]],.],[[.,.],[.,.]]]
[2,1,4,7,5,3,6]=>[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,4,7,6,3,5]=>[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,4,7,6,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,3,4,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,1,5,3,4,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,5,3,6,4,7]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,5,3,6,7,4]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,5,3,7,4,6]=>[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,3,7,6,4]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[6,7,3,4,5,2,1]=>[[[[.,[.,.]],[.,[.,.]]],.],.]
[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],[.,.]]
[2,1,5,4,6,3,7]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,5,4,6,7,3]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,5,4,7,3,6]=>[2,1,6,4,7,3,5]=>[6,7,2,4,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,1,5,4,7,6,3]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,5,6,3,4,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,5,6,3,7,4]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,5,6,4,3,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,5,6,4,7,3]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,5,6,7,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,6,7,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,3,4,6]=>[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,5,7,3,6,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,4,3,6]=>[2,1,6,7,5,3,4]=>[6,7,2,1,3,5,4]=>[[[.,[.,.]],.],[.,[[.,.],.]]]
[2,1,5,7,4,6,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,6,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,5,7,6,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,3,4,5,7]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,6,3,4,7,5]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,6,3,5,4,7]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,1,6,3,5,7,4]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,6,3,7,4,5]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,6,3,7,5,4]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,6,4,3,5,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,4,3,7,5]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,4,5,3,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,4,5,7,3]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,4,7,3,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,4,7,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,5,3,4,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,5,3,7,4]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[6,7,2,3,4,5,1]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]
[2,1,6,5,4,7,3]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,6,5,7,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,5,7,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,3,4,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,3,5,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,4,3,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,4,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,5,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,6,7,5,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,3,4,5,6]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,4,6,5]=>[2,1,7,4,5,6,3]=>[6,7,1,4,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,1,7,3,5,4,6]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,3,5,6,4]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,3,6,4,5]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,3,6,5,4]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,1,7,4,3,5,6]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,4,3,6,5]=>[2,1,7,5,4,6,3]=>[6,7,1,3,4,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,1,7,4,5,3,6]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,4,5,6,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,4,6,3,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,4,6,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,3,4,6]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,3,6,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,4,3,6]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,4,6,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,6,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,5,6,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,3,4,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,3,5,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,4,3,5]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,4,5,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,5,3,4]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,.]],[.,[.,[.,[.,.]]]]]
[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,3,1,4,7,5,6]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,3,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[2,3,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[2,3,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,3,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[2,3,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[2,3,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[2,3,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[2,3,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[2,3,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[2,3,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[2,3,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[2,3,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[2,3,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[2,3,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[2,3,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[2,3,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[2,3,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[2,3,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[2,3,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,3,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,3,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,3,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[2,3,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[2,3,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[2,3,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[2,3,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,3,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,3,6,4,5,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,3,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[2,3,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[2,3,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[2,3,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[2,3,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[2,3,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,3,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,3,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,3,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[2,3,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,3,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[2,3,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[2,4,1,3,5,6,7]=>[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[[[[[.,.],[[.,.],.]],.],.],.]
[2,4,1,3,5,7,6]=>[3,4,1,2,5,7,6]=>[5,4,7,6,3,1,2]=>[[[[.,.],[[.,.],.]],.],[.,.]]
[2,4,1,3,6,5,7]=>[3,4,1,2,6,5,7]=>[5,4,7,6,2,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]
[2,4,1,3,6,7,5]=>[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,3,7,5,6]=>[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,3,7,6,5]=>[3,4,1,2,7,6,5]=>[5,4,7,6,1,2,3]=>[[[.,.],[[.,.],.]],[.,[.,.]]]
[2,4,1,5,3,6,7]=>[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,4,1,5,3,7,6]=>[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,4,1,5,6,3,7]=>[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,4,1,5,6,7,3]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,4,1,5,7,3,6]=>[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,4,1,5,7,6,3]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,4,1,6,3,5,7]=>[3,5,1,6,2,4,7]=>[5,3,7,2,6,4,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]
[2,4,1,6,3,7,5]=>[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,6,5,3,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,4,1,6,5,7,3]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,1,6,7,3,5]=>[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,1,6,7,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,1,7,3,5,6]=>[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,3,6,5]=>[3,5,1,7,2,6,4]=>[5,3,7,1,6,2,4]=>[[[.,.],[.,.]],[[.,.],[.,.]]]
[2,4,1,7,5,3,6]=>[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,1,7,5,6,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,1,7,6,3,5]=>[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,4,1,7,6,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,4,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[2,4,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[2,4,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[2,4,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,4,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,4,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[2,4,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[2,4,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[2,4,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[2,4,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[2,4,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[2,4,3,5,7,6,1]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[2,4,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[2,4,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[2,4,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[2,4,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[2,4,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[2,4,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[2,4,5,1,3,6,7]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,4,5,1,3,7,6]=>[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,4,5,1,6,3,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,4,5,1,6,7,3]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,4,5,1,7,3,6]=>[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,4,5,1,7,6,3]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,4,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,4,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,4,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,4,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,4,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,4,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,4,5,6,1,3,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,4,5,6,1,7,3]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,4,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,4,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,4,5,6,7,1,3]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,4,5,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,5,7,1,3,6]=>[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,4,5,7,1,6,3]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,4,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,4,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,4,5,7,6,1,3]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,4,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,4,6,1,3,5,7]=>[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[[[[.,.],.],[[[.,.],.],.]],.]
[2,4,6,1,3,7,5]=>[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,6,1,5,3,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,4,6,1,5,7,3]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,4,6,1,7,3,5]=>[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,6,1,7,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,4,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[2,4,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[2,4,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[2,4,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,6,5,1,3,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,4,6,5,1,7,3]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,4,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,4,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,4,6,5,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,4,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,4,6,7,1,3,5]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,4,6,7,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,4,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,4,6,7,3,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,6,7,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,4,6,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,7,1,3,5,6]=>[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,1,3,6,5]=>[4,5,7,1,2,6,3]=>[4,3,1,7,6,2,5]=>[[[.,.],.],[[[.,.],.],[.,.]]]
[2,4,7,1,5,3,6]=>[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,7,1,5,6,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,4,7,1,6,3,5]=>[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,4,7,1,6,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,4,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[2,4,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[2,4,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,7,5,1,3,6]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,4,7,5,1,6,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,4,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,4,7,5,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,7,5,6,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,4,7,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,7,6,1,3,5]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,4,7,6,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,4,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,4,7,6,3,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,4,7,6,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,4,7,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,1,3,4,6,7]=>[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,5,1,3,4,7,6]=>[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,5,1,3,6,4,7]=>[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,1,3,6,7,4]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,5,1,3,7,4,6]=>[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,1,3,7,6,4]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,5,1,4,3,6,7]=>[3,5,1,4,2,6,7]=>[5,3,7,4,6,2,1]=>[[[[.,.],[[.,.],[.,.]]],.],.]
[2,5,1,4,3,7,6]=>[3,5,1,4,2,7,6]=>[5,3,7,4,6,1,2]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
[2,5,1,4,6,3,7]=>[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,5,1,4,6,7,3]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,5,1,4,7,3,6]=>[3,6,1,4,7,2,5]=>[5,2,7,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],.]]
[2,5,1,4,7,6,3]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,5,1,6,3,4,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,5,1,6,3,7,4]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,1,6,4,3,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,5,1,6,4,7,3]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,1,6,7,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,6,7,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,3,4,6]=>[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,1,7,3,6,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,4,3,6]=>[3,6,1,7,5,2,4]=>[5,2,7,1,3,6,4]=>[[[.,.],[.,.]],[.,[[.,.],.]]]
[2,5,1,7,4,6,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,6,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,1,7,6,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,5,3,1,4,6,7]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,5,3,1,4,7,6]=>[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,5,3,1,6,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,5,3,1,6,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,5,3,1,7,4,6]=>[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,3,1,7,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,5,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,5,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,5,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,5,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,5,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,5,3,6,1,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,5,3,6,1,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,5,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,5,3,6,7,1,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,5,3,6,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,5,3,7,1,4,6]=>[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,3,7,1,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,5,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,3,7,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,5,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,1,3,6,7]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[2,5,4,1,3,7,6]=>[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[2,5,4,1,6,3,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,5,4,1,6,7,3]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,5,4,1,7,3,6]=>[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[2,5,4,1,7,6,3]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,5,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[2,5,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[2,5,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[2,5,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[2,5,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[2,5,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[2,5,4,6,1,3,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,5,4,6,1,7,3]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,5,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,5,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,5,4,6,7,1,3]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,5,4,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,5,4,7,1,3,6]=>[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[2,5,4,7,1,6,3]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,5,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[2,5,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[2,5,4,7,6,1,3]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,5,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,6,1,3,4,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,5,6,1,3,7,4]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,6,1,4,3,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,5,6,1,4,7,3]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,5,6,1,7,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,6,1,7,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,6,3,1,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,5,6,3,1,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,5,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,5,6,3,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,5,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,6,4,1,3,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,5,6,4,1,7,3]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,5,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,5,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,5,6,4,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,5,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,6,7,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,6,7,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,6,7,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,6,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,6,7,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,6,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,1,3,4,6]=>[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,7,1,3,6,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,1,4,3,6]=>[4,6,7,1,5,2,3]=>[4,2,1,7,3,6,5]=>[[[.,.],.],[[.,.],[[.,.],.]]]
[2,5,7,1,4,6,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,1,6,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,1,6,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,5,7,3,1,4,6]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,5,7,3,1,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,5,7,3,4,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,5,7,3,6,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,7,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,4,1,3,6]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[2,5,7,4,1,6,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[2,5,7,4,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[2,5,7,4,6,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,7,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,6,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,6,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,5,7,6,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,7,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,6,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,5,7,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,1,3,4,5,7]=>[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,6,1,3,4,7,5]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,1,3,5,4,7]=>[3,6,1,4,5,2,7]=>[5,2,7,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]
[2,6,1,3,5,7,4]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,6,1,3,7,4,5]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,6,1,3,7,5,4]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,6,1,4,3,5,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,4,3,7,5]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,4,5,3,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,4,5,7,3]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,4,7,3,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,4,7,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,5,3,4,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,5,3,7,4]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,5,4,3,7]=>[3,6,1,5,4,2,7]=>[5,2,7,3,4,6,1]=>[[[.,.],[[.,.],[.,[.,.]]]],.]
[2,6,1,5,4,7,3]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,1,5,7,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,5,7,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,3,4,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,3,5,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,4,3,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,4,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,5,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,1,7,5,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,6,3,1,4,5,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,3,1,4,7,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,6,3,1,5,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[2,6,3,1,5,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,6,3,1,7,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,6,3,1,7,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,6,3,4,1,5,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,6,3,4,1,7,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,6,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,3,4,7,1,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,6,3,4,7,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,3,5,1,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[2,6,3,5,1,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,6,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[2,6,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[2,6,3,5,7,1,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,6,3,5,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,6,3,7,1,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,6,3,7,1,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,6,3,7,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,6,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,3,7,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,6,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,6,4,1,3,5,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,4,1,3,7,5]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,4,1,5,3,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,4,1,5,7,3]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,4,1,7,3,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,4,1,7,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,4,3,1,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,4,3,1,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,4,3,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,4,5,1,3,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,4,5,1,7,3]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,4,5,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,4,7,1,3,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,4,7,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,4,7,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,4,7,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,4,7,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,4,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,5,1,3,4,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,5,1,3,7,4]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,5,1,4,3,7]=>[4,6,5,1,3,2,7]=>[4,2,3,7,5,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]
[2,6,5,1,4,7,3]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,6,5,1,7,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,5,1,7,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,5,3,1,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,5,3,1,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,5,3,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,5,4,1,3,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[2,6,5,4,1,7,3]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,6,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[2,6,5,4,7,1,3]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,6,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,6,5,7,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,5,7,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,5,7,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,5,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,5,7,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,5,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,1,3,4,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,3,5,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,4,3,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,4,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,5,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,1,5,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,6,7,3,1,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,3,1,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,3,4,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,3,5,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,4,1,3,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,4,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,4,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,4,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,5,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,5,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,6,7,5,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,5,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,6,7,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,1,3,4,5,6]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,4,6,5]=>[3,7,1,4,5,6,2]=>[5,1,7,4,3,2,6]=>[[.,.],[[[[.,.],.],.],[.,.]]]
[2,7,1,3,5,4,6]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,3,5,6,4]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,3,6,4,5]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,3,6,5,4]=>[3,7,1,4,6,5,2]=>[5,1,7,4,2,3,6]=>[[.,.],[[[.,.],.],[.,[.,.]]]]
[2,7,1,4,3,5,6]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,4,3,6,5]=>[3,7,1,5,4,6,2]=>[5,1,7,3,4,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,1,4,5,3,6]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,4,5,6,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,4,6,3,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,4,6,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,3,4,6]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,3,6,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,4,3,6]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,4,6,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,6,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,5,6,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,3,4,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,3,5,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,4,3,5]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,4,5,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,5,3,4]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,1,6,5,4,3]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]=>[[.,.],[[.,.],[.,[.,[.,.]]]]]
[2,7,3,1,4,5,6]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,3,1,4,6,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[2,7,3,1,5,4,6]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,1,5,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,1,6,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,1,6,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[2,7,3,4,1,5,6]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,3,4,1,6,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[2,7,3,4,5,1,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,7,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,3,4,6,1,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[2,7,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[2,7,3,5,1,4,6]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,5,1,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,5,4,1,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,3,5,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,3,6,1,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,6,1,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[2,7,3,6,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,3,6,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[2,7,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,4,1,3,5,6]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,4,1,3,6,5]=>[4,7,5,1,3,6,2]=>[4,1,3,7,5,2,6]=>[[.,.],[[.,[[.,.],.]],[.,.]]]
[2,7,4,1,5,3,6]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,1,5,6,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,1,6,3,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,1,6,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,4,3,1,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,4,3,1,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[2,7,4,3,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,3,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[2,7,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[2,7,4,5,1,3,6]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,4,5,1,6,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,4,5,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,4,5,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,5,6,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,4,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,6,1,3,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,4,6,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,4,6,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,4,6,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,6,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,4,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,1,3,4,6]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,3,6,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,4,3,6]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,4,6,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,6,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,1,6,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,5,3,1,4,6]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,3,1,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,3,4,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,3,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,3,6,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,4,1,3,6]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,4,1,6,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,4,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,4,6,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,6,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,6,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,5,6,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,5,6,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,5,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,1,3,4,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,3,5,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,4,3,5]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,4,5,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,5,3,4]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,1,5,4,3]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]=>[[.,.],[.,[[.,.],[.,[.,.]]]]]
[2,7,6,3,1,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,3,1,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,3,4,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,3,5,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,4,1,3,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,4,1,5,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,4,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,4,5,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,5,1,3,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,5,1,4,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[2,7,6,5,3,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,5,4,1,3]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[2,7,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,1,2,4,5,6,7]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[3,1,2,4,5,7,6]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,1,2,4,6,5,7]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,1,2,4,6,7,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,1,2,4,7,5,6]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,1,2,4,7,6,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,1,2,5,4,6,7]=>[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[3,1,2,5,4,7,6]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,1,2,5,6,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,2,5,6,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,5,7,4,6]=>[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,1,2,5,7,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,6,4,5,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,2,6,4,7,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,6,5,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,1,2,6,5,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,6,7,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,6,7,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,4,5,6]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,7,4,6,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,1,2,7,5,4,6]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,5,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,6,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,2,7,6,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,1,4,2,5,6,7]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[3,1,4,2,5,7,6]=>[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,1,4,2,6,5,7]=>[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,1,4,2,6,7,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,1,4,2,7,5,6]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,1,4,2,7,6,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,1,4,5,2,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[3,1,4,5,2,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[3,1,4,5,6,2,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[3,1,4,5,6,7,2]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,1,4,5,7,2,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,1,4,5,7,6,2]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,1,4,6,2,5,7]=>[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,1,4,6,2,7,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,6,5,2,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[3,1,4,6,5,7,2]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,1,4,6,7,2,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,4,6,7,5,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,4,7,2,5,6]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,7,2,6,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,1,4,7,5,2,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,4,7,5,6,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,4,7,6,2,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,1,4,7,6,5,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,1,5,2,4,6,7]=>[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[3,1,5,2,4,7,6]=>[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,1,5,2,6,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,5,2,6,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,5,2,7,4,6]=>[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,1,5,2,7,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,5,4,2,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,1,5,4,2,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[3,1,5,4,6,2,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[3,1,5,4,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,1,5,4,7,2,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,1,5,4,7,6,2]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,1,5,6,2,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,1,5,6,2,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,5,6,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,1,5,6,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,5,6,7,2,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,5,6,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,5,7,2,4,6]=>[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,1,5,7,2,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,5,7,4,2,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,1,5,7,4,6,2]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,1,5,7,6,2,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,5,7,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,6,2,4,5,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,6,2,4,7,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,6,2,5,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,1,6,2,5,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,6,2,7,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,6,2,7,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,6,4,2,5,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,1,6,4,2,7,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,6,4,5,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,1,6,4,5,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,4,7,2,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,6,4,7,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,6,5,2,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,1,6,5,2,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,6,5,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,1,6,5,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,1,6,5,7,2,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,6,5,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,6,7,2,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,6,7,2,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,6,7,4,2,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,6,7,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,6,7,5,2,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,6,7,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,2,4,5,6]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,7,2,4,6,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,1,7,2,5,4,6]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,2,5,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,2,6,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,2,6,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,1,7,4,2,5,6]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,7,4,2,6,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,1,7,4,5,2,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,4,5,6,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,7,4,6,2,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,1,7,4,6,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,7,5,2,4,6]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,5,2,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,5,4,2,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,5,4,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,5,6,2,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,5,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,6,2,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,6,2,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,1,7,6,4,2,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,6,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,1,7,6,5,2,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,1,7,6,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[[[[[.,[.,[.,.]]],.],.],.],.]
[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[5,6,7,4,3,1,2]=>[[[[.,[.,[.,.]]],.],.],[.,.]]
[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[5,6,7,4,2,3,1]=>[[[[.,[.,[.,.]]],.],[.,.]],.]
[3,2,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,4,7,5,6]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,.]]]
[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[5,6,7,3,4,2,1]=>[[[[.,[.,[.,.]]],[.,.]],.],.]
[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[5,6,7,3,4,1,2]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]
[3,2,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,5,7,4,6]=>[3,2,1,6,7,4,5]=>[5,6,7,2,1,4,3]=>[[[.,[.,[.,.]]],.],[[.,.],.]]
[3,2,1,5,7,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,6,4,5,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,6,4,7,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[5,6,7,2,3,4,1]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]
[3,2,1,6,5,7,4]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,6,7,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,6,7,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,4,5,6]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,7,4,6,5]=>[3,2,1,7,5,6,4]=>[5,6,7,1,3,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,2,1,7,5,4,6]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,5,6,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,6,4,5]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]=>[[.,[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[3,2,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[3,2,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[3,2,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,4,1,7,5,6]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,4,1,7,6,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[3,2,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[3,2,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[3,2,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[3,2,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[3,2,4,5,7,1,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[3,2,4,5,7,6,1]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[3,2,4,6,1,5,7]=>[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[3,2,4,6,1,7,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,6,5,1,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[3,2,4,6,5,7,1]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[3,2,4,6,7,1,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,6,7,5,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,7,1,5,6]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,7,1,6,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[3,2,4,7,5,1,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,7,5,6,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,7,6,1,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[3,2,4,7,6,5,1]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,5,1,4,6,7]=>[4,2,5,1,3,6,7]=>[4,6,3,7,5,2,1]=>[[[[.,[.,.]],[[.,.],.]],.],.]
[3,2,5,1,4,7,6]=>[4,2,5,1,3,7,6]=>[4,6,3,7,5,1,2]=>[[[.,[.,.]],[[.,.],.]],[.,.]]
[3,2,5,1,6,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,5,1,6,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,5,1,7,4,6]=>[4,2,6,1,7,3,5]=>[4,6,2,7,1,5,3]=>[[[.,[.,.]],[.,.]],[[.,.],.]]
[3,2,5,1,7,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,5,4,1,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[3,2,5,4,1,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[3,2,5,4,6,1,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[3,2,5,4,6,7,1]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[3,2,5,4,7,1,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[3,2,5,4,7,6,1]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[3,2,5,6,1,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,2,5,6,1,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,5,6,4,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,2,5,6,4,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,5,6,7,1,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,5,6,7,4,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,5,7,1,4,6]=>[5,2,6,7,1,3,4]=>[3,6,2,1,7,5,4]=>[[[.,[.,.]],.],[[[.,.],.],.]]
[3,2,5,7,1,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,5,7,4,1,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[3,2,5,7,4,6,1]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[3,2,5,7,6,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,5,7,6,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,6,1,4,5,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,6,1,4,7,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,6,1,5,4,7]=>[4,2,6,1,5,3,7]=>[4,6,2,7,3,5,1]=>[[[.,[.,.]],[[.,.],[.,.]]],.]
[3,2,6,1,5,7,4]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,6,1,7,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,6,1,7,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,6,4,1,5,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,2,6,4,1,7,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,6,4,5,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,2,6,4,5,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,6,4,7,1,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,4,7,5,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,6,5,1,4,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[3,2,6,5,1,7,4]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,6,5,4,1,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[3,2,6,5,4,7,1]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,6,5,7,1,4]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,6,5,7,4,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,6,7,1,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,6,7,1,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,6,7,4,1,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,6,7,4,5,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,6,7,5,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,6,7,5,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,1,4,5,6]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,1,4,6,5]=>[4,2,7,1,5,6,3]=>[4,6,1,7,3,2,5]=>[[.,[.,.]],[[[.,.],.],[.,.]]]
[3,2,7,1,5,4,6]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,1,5,6,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,1,6,4,5]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,1,6,5,4]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]=>[[.,[.,.]],[[.,.],[.,[.,.]]]]
[3,2,7,4,1,5,6]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,7,4,1,6,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,2,7,4,5,1,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,4,5,6,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,7,4,6,1,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,2,7,4,6,5,1]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,7,5,1,4,6]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,5,1,6,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,5,4,1,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,5,4,6,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,5,6,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,5,6,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,6,1,4,5]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,6,1,5,4]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]=>[[.,[.,.]],[.,[[.,.],[.,.]]]]
[3,2,7,6,4,1,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,6,4,5,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,2,7,6,5,1,4]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[3,2,7,6,5,4,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[3,4,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,4,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,4,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[3,4,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,4,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,4,1,5,7,6,2]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[3,4,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[3,4,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[3,4,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[3,4,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[3,4,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[3,4,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[3,4,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[3,4,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[3,4,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[3,4,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[3,4,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[3,4,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[3,4,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,4,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,4,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,4,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,4,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,4,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,4,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,4,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,4,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,4,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,4,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,4,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,4,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,4,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,4,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,4,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,4,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,4,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,4,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,4,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,4,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,4,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,4,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[3,4,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[3,4,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[3,4,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,4,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,4,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,4,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,4,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,6,7,1,5,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,6,7,2,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,6,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[3,4,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[3,4,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,7,5,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,7,5,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,7,6,1,5,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,4,7,6,2,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,7,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,1,2,4,6,7]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[3,5,1,2,4,7,6]=>[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,5,1,2,6,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,1,2,6,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,5,1,2,7,4,6]=>[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,5,1,2,7,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,1,6,2,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,1,6,2,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,1,6,7,2,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,1,6,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,1,7,2,4,6]=>[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,1,7,2,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,1,7,6,2,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,5,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,2,1,4,6,7]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[[[[.,.],[.,[[.,.],.]]],.],.]
[3,5,2,1,4,7,6]=>[4,5,3,1,2,7,6]=>[4,3,5,7,6,1,2]=>[[[.,.],[.,[[.,.],.]]],[.,.]]
[3,5,2,1,6,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,5,2,1,6,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,5,2,1,7,4,6]=>[4,6,3,1,7,2,5]=>[4,2,5,7,1,6,3]=>[[[.,.],[.,[.,.]]],[[.,.],.]]
[3,5,2,1,7,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,5,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,2,6,1,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,5,2,6,1,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,5,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,2,6,7,1,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,5,2,6,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,2,7,1,4,6]=>[5,6,3,7,1,2,4]=>[3,2,5,1,7,6,4]=>[[[.,.],[.,.]],[[[.,.],.],.]]
[3,5,2,7,1,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,5,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,2,7,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,5,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[3,5,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[3,5,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[3,5,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[3,5,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[3,5,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[3,5,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,5,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,5,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,5,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[3,5,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[3,5,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,1,2,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,5,6,1,2,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,5,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,1,7,2,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,2,1,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,5,6,2,1,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,5,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,2,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,5,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,5,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,5,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,6,7,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,6,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,6,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,1,2,4,6]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,5,7,1,2,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,5,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,5,7,1,4,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,7,1,6,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,7,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,2,1,4,6]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[[[.,.],.],[.,[[[.,.],.],.]]]
[3,5,7,2,1,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,5,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,5,7,2,4,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,7,2,6,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,7,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,5,7,4,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[3,5,7,4,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,7,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,7,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,5,7,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,1,2,4,5,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,2,4,7,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,1,2,5,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,1,2,5,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,1,2,7,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,1,2,7,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,1,4,2,5,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,1,4,2,7,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,6,1,4,7,2,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,1,4,7,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,1,5,2,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,1,5,2,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,6,1,5,7,2,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,1,5,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,1,7,2,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,1,7,2,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,1,7,4,2,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,1,7,5,2,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,2,1,4,5,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,1,4,7,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,2,1,5,4,7]=>[4,6,3,1,5,2,7]=>[4,2,5,7,3,6,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]
[3,6,2,1,5,7,4]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,6,2,1,7,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,2,1,7,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,6,2,4,1,5,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,2,4,1,7,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,6,2,4,7,1,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,2,4,7,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,2,5,1,4,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[3,6,2,5,1,7,4]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,6,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[3,6,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[3,6,2,5,7,1,4]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,6,2,5,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,6,2,7,1,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,2,7,1,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,6,2,7,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,2,7,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,6,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,6,4,1,2,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,4,1,2,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,1,7,2,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,2,1,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,4,2,1,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,2,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,4,7,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,4,7,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,4,7,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,4,7,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,4,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,4,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,1,2,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,5,1,2,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,1,7,2,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,2,1,4,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[3,6,5,2,1,7,4]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,6,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,2,7,1,4]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,6,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[3,6,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[3,6,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,7,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,5,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,7,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,5,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,5,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,2,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,6,7,1,2,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,6,7,1,4,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,1,5,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,2,1,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,6,7,2,1,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,6,7,2,4,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,2,5,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,5,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,5,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,6,7,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,1,2,4,5,6]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,1,2,4,6,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,1,2,5,4,6]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,2,5,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,2,6,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,2,6,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,1,4,2,5,6]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,1,4,2,6,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,1,4,5,2,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,1,4,6,2,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,1,5,2,4,6]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,5,2,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,5,4,2,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,5,6,2,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,6,2,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,6,2,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,1,6,4,2,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,1,6,5,2,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,1,4,5,6]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,2,1,4,6,5]=>[4,7,3,1,5,6,2]=>[4,1,5,7,3,2,6]=>[[.,.],[[[.,[.,.]],.],[.,.]]]
[3,7,2,1,5,4,6]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,1,5,6,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,1,6,4,5]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,1,6,5,4]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]=>[[.,.],[[.,[.,.]],[.,[.,.]]]]
[3,7,2,4,1,5,6]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,2,4,1,6,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[3,7,2,4,5,1,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,2,4,6,1,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[3,7,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[3,7,2,5,1,4,6]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,5,1,6,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,5,4,1,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,5,6,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,6,1,4,5]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,6,1,5,4]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]=>[[.,.],[[.,.],[[.,.],[.,.]]]]
[3,7,2,6,4,1,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,2,6,5,1,4]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[3,7,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[3,7,4,1,2,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,1,2,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,1,5,2,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,1,6,2,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,2,1,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,2,1,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[3,7,4,2,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,2,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[3,7,4,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[3,7,4,5,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,4,5,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,5,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,6,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,4,6,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,6,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,4,6,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,4,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,1,2,4,6]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,5,1,2,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,5,1,4,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,1,4,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,1,6,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,2,1,4,6]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,5,2,1,6,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,5,2,4,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,2,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,2,6,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,4,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,4,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,4,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,4,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,6,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,6,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,5,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,5,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,1,2,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,1,2,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,1,4,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,1,5,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,2,1,4,5]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,2,1,5,4]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]=>[[.,.],[.,[.,[[.,.],[.,.]]]]]
[3,7,6,2,4,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,2,5,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,4,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,4,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,1,2,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,2,1,4]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[3,7,6,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,1,2,3,5,6,7]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[4,1,2,3,5,7,6]=>[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,1,2,3,6,5,7]=>[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,1,2,3,6,7,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,2,3,7,5,6]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,2,3,7,6,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,2,5,3,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[4,1,2,5,3,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,1,2,5,6,3,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[4,1,2,5,6,7,3]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,1,2,5,7,3,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,2,5,7,6,3]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,1,2,6,3,5,7]=>[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,1,2,6,3,7,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,2,6,5,3,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[4,1,2,6,5,7,3]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,2,6,7,3,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,2,6,7,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,2,7,3,5,6]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,2,7,3,6,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,2,7,5,3,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,2,7,5,6,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,2,7,6,3,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,2,7,6,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,3,2,5,6,7]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[[[[.,[[.,.],[.,.]]],.],.],.]
[4,1,3,2,5,7,6]=>[4,2,3,1,5,7,6]=>[4,6,5,7,3,1,2]=>[[[.,[[.,.],[.,.]]],.],[.,.]]
[4,1,3,2,6,5,7]=>[4,2,3,1,6,5,7]=>[4,6,5,7,2,3,1]=>[[[.,[[.,.],[.,.]]],[.,.]],.]
[4,1,3,2,6,7,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,3,2,7,5,6]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,3,2,7,6,5]=>[4,2,3,1,7,6,5]=>[4,6,5,7,1,2,3]=>[[.,[[.,.],[.,.]]],[.,[.,.]]]
[4,1,3,5,2,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[4,1,3,5,2,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[4,1,3,5,6,2,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[4,1,3,5,6,7,2]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[4,1,3,5,7,2,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[4,1,3,5,7,6,2]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[4,1,3,6,2,5,7]=>[5,2,3,6,1,4,7]=>[3,6,5,2,7,4,1]=>[[[.,[[.,.],.]],[[.,.],.]],.]
[4,1,3,6,2,7,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,3,6,5,2,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[4,1,3,6,5,7,2]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[4,1,3,6,7,2,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,3,6,7,5,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,3,7,2,5,6]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,3,7,2,6,5]=>[5,2,3,7,1,6,4]=>[3,6,5,1,7,2,4]=>[[.,[[.,.],.]],[[.,.],[.,.]]]
[4,1,3,7,5,2,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,3,7,5,6,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,3,7,6,2,5]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[4,1,3,7,6,5,2]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[4,1,5,2,3,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[4,1,5,2,3,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[4,1,5,2,6,3,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,1,5,2,6,7,3]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,1,5,2,7,3,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,1,5,2,7,6,3]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,5,3,2,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[4,1,5,3,2,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[4,1,5,3,6,2,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[4,1,5,3,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[4,1,5,3,7,2,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[4,1,5,3,7,6,2]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[4,1,5,6,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,5,6,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,5,6,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,5,6,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,5,6,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,5,6,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,5,7,2,3,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,1,5,7,2,6,3]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,1,5,7,3,2,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[4,1,5,7,3,6,2]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[4,1,5,7,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,5,7,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,2,3,5,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,6,2,3,7,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,6,2,5,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,6,2,5,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,2,7,3,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,6,2,7,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,3,2,5,7]=>[5,2,6,4,1,3,7]=>[3,6,2,4,7,5,1]=>[[[.,[.,.]],[.,[[.,.],.]]],.]
[4,1,6,3,2,7,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,6,3,5,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,6,3,5,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,3,7,2,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,6,3,7,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,5,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,6,5,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,5,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[4,1,6,5,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[4,1,6,5,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,5,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,6,7,2,3,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,6,7,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,7,3,2,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,6,7,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,7,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,6,7,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,2,3,5,6]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,7,2,3,6,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,7,2,5,3,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,2,5,6,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,2,6,3,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,2,6,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,3,2,5,6]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,7,3,2,6,5]=>[5,2,7,4,1,6,3]=>[3,6,1,4,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,1,7,3,5,2,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,3,5,6,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,3,6,2,5]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,1,7,3,6,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,1,7,5,2,3,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,5,2,6,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,5,3,2,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,5,3,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,5,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,5,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,2,3,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,6,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,3,2,5]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[4,1,7,6,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,7,6,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,1,3,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,2,1,3,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,2,1,3,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,1,3,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,1,3,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,1,3,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,1,5,3,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,1,5,3,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,2,1,5,6,3,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,2,1,5,6,7,3]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,2,1,5,7,3,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,2,1,5,7,6,3]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,2,1,6,3,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,1,6,3,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,6,5,3,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,2,1,6,5,7,3]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,1,6,7,3,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,6,7,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,1,7,3,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,7,3,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,1,7,5,3,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,7,5,6,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,1,7,6,3,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,1,7,6,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,2,3,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,2,3,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,2,3,1,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,3,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,3,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,2,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,2,3,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,2,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,2,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,2,3,5,7,1,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,2,3,5,7,6,1]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,2,3,6,1,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,2,3,6,1,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,3,6,5,1,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,2,3,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,2,3,6,7,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,3,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,3,7,1,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,3,7,1,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,2,3,7,5,1,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,3,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,3,7,6,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,2,3,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,2,5,1,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,2,5,1,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,2,5,1,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,2,5,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,1,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,2,5,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,5,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,2,5,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,2,5,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,2,5,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,2,5,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,2,5,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,2,5,6,1,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,2,5,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,5,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,2,5,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,2,5,6,7,1,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,2,5,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,2,5,7,1,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,2,5,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,5,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,2,5,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,2,5,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,5,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,2,6,1,3,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,6,1,3,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,6,1,5,3,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,2,6,1,5,7,3]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,6,1,7,3,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,1,7,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,6,3,1,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,2,6,3,1,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,6,3,5,1,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,2,6,3,5,7,1]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,2,6,3,7,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,6,3,7,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,6,5,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,6,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,6,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,2,6,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,2,6,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,7,1,3,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,6,7,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,6,7,3,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,6,7,3,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,6,7,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,2,6,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,1,3,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,1,3,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,1,5,3,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,1,5,6,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,1,6,3,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,1,6,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,3,1,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,3,1,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,2,7,3,5,1,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,3,5,6,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,3,6,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,2,7,3,6,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,2,7,5,1,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,7,5,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,7,5,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,7,5,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,7,5,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,6,1,3,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,7,6,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,7,6,3,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,2,7,6,3,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,2,7,6,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,2,7,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,3,1,2,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,1,2,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,1,2,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,1,2,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,1,2,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,1,5,2,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,1,5,2,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,3,1,5,6,2,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,3,1,5,6,7,2]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,3,1,5,7,2,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,3,1,5,7,6,2]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,3,1,6,2,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,1,6,2,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,6,5,2,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,1,6,5,7,2]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,1,6,7,2,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,6,7,5,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,1,7,2,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,7,2,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,1,7,5,2,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,7,5,6,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,1,7,6,2,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,1,7,6,5,2]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[[[[.,[.,[.,[.,.]]]],.],.],.]
[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,5,6,7,3,1,2]=>[[[.,[.,[.,[.,.]]]],.],[.,.]]
[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,5,6,7,2,3,1]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]
[4,3,2,1,6,7,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,1,7,5,6]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]=>[[.,[.,[.,[.,.]]]],[.,[.,.]]]
[4,3,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[4,3,2,5,1,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[4,3,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[4,3,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[4,3,2,5,7,1,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[4,3,2,5,7,6,1]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[4,3,2,6,1,5,7]=>[5,3,2,6,1,4,7]=>[3,5,6,2,7,4,1]=>[[[.,[.,[.,.]]],[[.,.],.]],.]
[4,3,2,6,1,7,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,2,6,5,1,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[4,3,2,6,5,7,1]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[4,3,2,6,7,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,2,6,7,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,7,1,5,6]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,2,7,1,6,5]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]=>[[.,[.,[.,.]]],[[.,.],[.,.]]]
[4,3,2,7,5,1,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,2,7,5,6,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,2,7,6,1,5]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[4,3,2,7,6,5,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[4,3,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,3,5,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,3,5,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,5,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,5,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,5,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,3,5,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,3,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,3,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,5,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,3,5,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,3,5,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,3,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,3,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,3,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,3,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,3,5,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,3,5,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,5,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,3,5,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,3,5,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,5,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,6,1,2,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,6,1,2,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,6,1,5,2,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,3,6,1,5,7,2]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,6,1,7,2,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,1,7,5,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,6,2,1,5,7]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[[[.,[.,.]],[[.,[.,.]],.]],.]
[4,3,6,2,1,7,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,6,2,5,1,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[4,3,6,2,5,7,1]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[4,3,6,2,7,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,6,2,7,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,6,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,3,6,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,6,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,3,6,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,3,6,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,6,7,1,2,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,6,7,1,5,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,6,7,2,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,6,7,2,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,6,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,6,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,1,2,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,1,2,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,1,5,2,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,1,5,6,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,1,6,2,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,1,6,5,2]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,2,1,5,6]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,2,1,6,5]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,.]]]
[4,3,7,2,5,1,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,2,5,6,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,2,6,1,5]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[4,3,7,2,6,5,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,7,5,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,7,5,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,7,5,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,7,5,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,7,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,1,2,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,7,6,1,5,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,7,6,2,1,5]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,3,7,6,2,5,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,7,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,1,6,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,2,6,7,1,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,2,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[4,5,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[4,5,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[4,5,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[4,5,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[4,5,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[4,5,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,5,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[4,5,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[4,5,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,5,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,5,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,1,3,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,2,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,3,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[4,5,7,3,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,1,2,3,5,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,1,2,3,7,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,1,2,7,3,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,6,1,2,7,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,1,3,2,5,7]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[[[.,.],[[.,.],[[.,.],.]]],.]
[4,6,1,3,2,7,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,6,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,1,3,7,2,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,6,1,3,7,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[4,6,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[4,6,1,5,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,1,5,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,6,1,7,2,3,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,6,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,1,7,3,2,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,6,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,6,2,1,3,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,2,1,3,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,1,7,3,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,3,1,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,2,3,1,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,3,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,2,7,1,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,2,7,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,7,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,2,7,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,7,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,2,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,3,1,2,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,3,1,2,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,1,7,2,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,2,1,5,7]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]
[4,6,3,2,1,7,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,6,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,2,7,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,6,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,3,7,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,3,7,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,3,7,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,3,7,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,3,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,3,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[4,6,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,1,2,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,1,3,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,1,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,3,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,3,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,6,7,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,2,3,5,6]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,2,3,6,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,2,5,3,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,2,5,6,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,1,2,6,3,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,2,6,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,1,3,2,5,6]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,3,2,6,5]=>[5,7,3,4,1,6,2]=>[3,1,5,4,7,2,6]=>[[.,.],[[[.,.],[.,.]],[.,.]]]
[4,7,1,3,5,2,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,3,5,6,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,1,3,6,2,5]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[4,7,1,3,6,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[4,7,1,5,2,3,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,5,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,5,3,2,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,5,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,5,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,5,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,2,3,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,6,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,3,2,5]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[4,7,1,6,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,1,6,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,2,1,3,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,1,3,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,1,5,3,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,1,5,6,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,1,6,3,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,1,6,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,3,1,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,3,1,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,2,3,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,3,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,2,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,2,5,1,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,2,5,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,5,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,2,5,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,5,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,6,1,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,2,6,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,6,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,2,6,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,6,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,1,2,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,1,2,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,1,5,2,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,1,6,2,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,2,1,5,6]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,2,1,6,5]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]=>[[.,.],[[.,[.,[.,.]]],[.,.]]]
[4,7,3,2,5,1,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,2,6,1,5]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[4,7,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[4,7,3,5,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,3,5,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,5,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,3,5,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,6,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,3,6,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,6,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,3,6,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,3,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,1,2,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,1,2,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,1,3,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,2,1,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,2,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,2,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,3,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,3,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,3,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,5,3,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,1,2,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,1,3,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,2,1,3,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,2,3,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,3,1,2,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,3,2,1,5]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[4,7,6,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,2,3,4,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[5,1,2,3,4,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,2,3,6,4,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[5,1,2,3,6,7,4]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,1,2,3,7,4,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,3,7,6,4]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[5,1,2,4,3,6,7]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[[[.,[[[.,.],.],[.,.]]],.],.]
[5,1,2,4,3,7,6]=>[5,2,3,4,1,7,6]=>[3,6,5,4,7,1,2]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
[5,1,2,4,6,3,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[5,1,2,4,6,7,3]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[5,1,2,4,7,3,6]=>[6,2,3,4,7,1,5]=>[2,6,5,4,1,7,3]=>[[.,[[[.,.],.],.]],[[.,.],.]]
[5,1,2,4,7,6,3]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[5,1,2,6,3,4,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[5,1,2,6,3,7,4]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,2,6,4,3,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[5,1,2,6,4,7,3]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[5,1,2,6,7,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,6,7,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,3,4,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,1,2,7,3,6,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,4,3,6]=>[6,2,3,7,5,1,4]=>[2,6,5,1,3,7,4]=>[[.,[[.,.],.]],[.,[[.,.],.]]]
[5,1,2,7,4,6,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,6,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,2,7,6,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[5,1,3,2,4,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,3,2,4,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,3,2,6,4,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,3,2,6,7,4]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,3,2,7,4,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,3,2,7,6,4]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,3,4,2,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,3,4,2,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,3,4,6,2,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,3,4,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,3,4,7,2,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,3,4,7,6,2]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,3,6,2,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,3,6,2,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,3,6,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,3,6,7,2,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,3,6,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,3,7,2,4,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,3,7,2,6,4]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,3,7,4,2,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,3,7,4,6,2]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,3,7,6,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,3,7,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,4,2,3,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,4,2,3,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,4,2,6,3,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,4,2,6,7,3]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,4,2,7,3,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,4,2,7,6,3]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,4,3,2,6,7]=>[5,2,4,3,1,6,7]=>[3,6,4,5,7,2,1]=>[[[.,[[.,.],[.,[.,.]]]],.],.]
[5,1,4,3,2,7,6]=>[5,2,4,3,1,7,6]=>[3,6,4,5,7,1,2]=>[[.,[[.,.],[.,[.,.]]]],[.,.]]
[5,1,4,3,6,2,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[5,1,4,3,6,7,2]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[5,1,4,3,7,2,6]=>[6,2,4,3,7,1,5]=>[2,6,4,5,1,7,3]=>[[.,[[.,.],[.,.]]],[[.,.],.]]
[5,1,4,3,7,6,2]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[5,1,4,6,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,4,6,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,4,6,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,4,6,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,4,6,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,4,6,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,4,7,2,3,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,4,7,2,6,3]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,4,7,3,2,6]=>[6,2,5,7,3,1,4]=>[2,6,3,1,5,7,4]=>[[.,[[.,.],.]],[[.,[.,.]],.]]
[5,1,4,7,3,6,2]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[5,1,4,7,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,4,7,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,2,3,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,2,3,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,2,4,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,2,4,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,2,7,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,2,7,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,3,2,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,3,2,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,3,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,3,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,3,7,2,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,3,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,4,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,4,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,4,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[5,1,6,4,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,6,4,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,4,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,7,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,6,7,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,2,3,4,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,7,2,3,6,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,2,4,3,6]=>[6,2,7,4,5,1,3]=>[2,6,1,4,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,1,7,2,4,6,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,2,6,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,2,6,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,7,3,2,4,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,3,2,6,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,3,4,2,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,3,4,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,3,6,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,3,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,2,3,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,4,2,6,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,3,2,6]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]=>[[.,[.,.]],[.,[.,[[.,.],.]]]]
[5,1,7,4,3,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,4,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,1,7,6,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[5,2,1,3,4,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[5,2,1,3,4,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,2,1,3,6,4,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[5,2,1,3,6,7,4]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,2,1,3,7,4,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,2,1,3,7,6,4]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[5,2,1,4,3,6,7]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[[[.,[[.,[.,.]],[.,.]]],.],.]
[5,2,1,4,3,7,6]=>[5,3,2,4,1,7,6]=>[3,5,6,4,7,1,2]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
[5,2,1,4,6,3,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[5,2,1,4,6,7,3]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[5,2,1,4,7,3,6]=>[6,3,2,4,7,1,5]=>[2,5,6,4,1,7,3]=>[[.,[[.,[.,.]],.]],[[.,.],.]]
[5,2,1,4,7,6,3]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[5,2,1,6,3,4,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[5,2,1,6,3,7,4]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,1,6,4,3,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[5,2,1,6,4,7,3]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[5,2,1,6,7,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,6,7,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,3,4,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,2,1,7,3,6,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,4,3,6]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]=>[[.,[.,[.,.]]],[.,[[.,.],.]]]
[5,2,1,7,4,6,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,6,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,1,7,6,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,3,1,4,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,3,1,4,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,3,1,6,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,3,1,6,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,3,1,7,4,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,3,1,7,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,3,4,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,3,4,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,3,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,3,6,1,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,3,6,1,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,3,6,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,3,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,3,6,7,1,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,2,3,6,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,2,3,7,1,4,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,3,7,1,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,3,7,4,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,3,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,3,7,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,3,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,4,1,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,4,1,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,4,1,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,4,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,4,1,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,4,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,4,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,2,4,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,2,4,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,2,4,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,4,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,2,4,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,2,4,6,1,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,4,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,4,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,2,4,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,2,4,6,7,1,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,2,4,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,2,4,7,1,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,4,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,4,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,2,4,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,2,4,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,4,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,1,3,4,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,2,6,1,3,7,4]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,6,1,4,3,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[5,2,6,1,4,7,3]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[5,2,6,1,7,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,6,1,7,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,6,3,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,6,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,6,4,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,2,6,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,2,6,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,6,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,2,6,7,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,6,7,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,6,7,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,6,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,6,7,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,6,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,1,3,4,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,1,3,6,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,1,4,3,6]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]=>[[.,[.,.]],[[.,.],[[.,.],.]]]
[5,2,7,1,4,6,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,1,6,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,1,6,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[5,2,7,3,1,4,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,7,3,1,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,3,4,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,7,3,4,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,3,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,4,1,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,7,4,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,4,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,2,7,4,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,4,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,6,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,6,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,2,7,6,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,6,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,2,7,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,1,2,4,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,1,2,4,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,1,2,6,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,1,2,6,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,1,2,7,4,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,1,2,7,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,1,4,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,1,4,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,1,4,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,1,4,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,1,4,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,1,4,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,1,6,2,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,1,6,2,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,1,6,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,1,6,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,1,6,7,2,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,1,6,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,1,7,2,4,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,1,7,2,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,1,7,4,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,1,7,4,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,1,7,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,1,7,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,2,1,4,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,2,1,4,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,2,1,6,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,2,1,6,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,2,1,7,4,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,2,1,7,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,2,4,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,2,4,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,2,4,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,2,6,1,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,2,6,1,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,2,6,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,2,6,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,2,6,7,1,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,2,6,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,2,7,1,4,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,2,7,1,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,2,7,4,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,2,7,4,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,2,7,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,2,7,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,4,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,4,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,4,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,4,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,4,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,3,4,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,3,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,3,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,3,4,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,3,4,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,3,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,4,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,3,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,3,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,4,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,4,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,4,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,3,4,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,3,4,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,4,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,6,1,2,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,2,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,3,6,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,3,6,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,6,7,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,6,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,1,2,4,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,1,2,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,1,4,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,1,4,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,1,6,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,2,1,4,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,2,1,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,2,4,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,2,4,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,2,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,4,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,4,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,4,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,3,7,4,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,3,7,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,1,2,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,1,2,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,1,2,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,1,2,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,1,2,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,1,3,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,1,3,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,1,3,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,1,3,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,1,3,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,1,3,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,1,6,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,1,6,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,1,6,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,1,6,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,1,6,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,1,6,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,1,7,2,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,1,7,2,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,1,7,3,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,1,7,3,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,1,7,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,1,7,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,2,1,3,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,2,1,6,3,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,2,1,6,7,3]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,2,1,7,3,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,2,1,7,6,3]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,2,3,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,2,3,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,2,3,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,2,6,1,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,2,6,1,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,2,6,3,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,2,6,3,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,2,6,7,1,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,2,6,7,3,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,2,7,1,3,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,2,7,1,6,3]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,2,7,3,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,2,7,3,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,2,7,6,1,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,2,7,6,3,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,3,1,2,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,3,1,6,2,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,3,1,6,7,2]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,3,1,7,2,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,3,1,7,6,2]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
[5,4,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[5,4,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[5,4,3,2,7,1,6]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]=>[[.,[.,[.,[.,.]]]],[[.,.],.]]
[5,4,3,2,7,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[5,4,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,3,6,1,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,4,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,4,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,3,7,1,2,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,3,7,1,6,2]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,3,7,2,1,6]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]=>[[.,[.,[.,.]]],[[.,[.,.]],.]]
[5,4,3,7,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[5,4,3,7,6,1,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,7,6,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,4,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,4,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,1,2,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,1,2,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,1,3,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,1,3,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,2,1,3,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,2,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,2,3,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,2,3,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,3,1,2,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,3,1,6,2]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,3,2,1,6]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[[.,[.,.]],[.,[[.,[.,.]],.]]]
[5,4,7,3,2,6,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[5,4,7,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,2,7,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,2,7,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,3,7,2,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,3,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[5,6,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,4,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,4,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,7,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,2,7,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,3,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[5,6,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,6,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,1,2,3,4,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,1,2,3,6,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,1,2,4,3,6]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[[.,.],[[[.,.],.],[[.,.],.]]]
[5,7,1,2,4,6,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,1,2,6,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,1,2,6,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[5,7,1,3,2,4,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,3,2,6,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,3,4,2,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,3,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,3,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,3,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,2,3,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,4,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,3,2,6]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]=>[[.,.],[[.,.],[.,[[.,.],.]]]]
[5,7,1,4,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,4,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,1,6,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[5,7,2,1,3,4,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,2,1,3,6,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,1,4,3,6]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[[.,.],[[.,[.,.]],[[.,.],.]]]
[5,7,2,1,4,6,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,1,6,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,1,6,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[5,7,2,3,1,4,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,2,3,1,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,3,4,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,2,3,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,3,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,4,1,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,2,4,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,4,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,2,4,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,4,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,2,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,1,2,4,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,1,2,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,1,4,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,1,4,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,1,6,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,2,1,4,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,2,1,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,2,4,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,2,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,2,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,4,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,4,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,1,2,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,1,2,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,1,3,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,1,3,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,2,1,3,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,2,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,2,3,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,2,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,3,1,2,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,3,2,1,6]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[[.,.],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,4,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,2,3,4,5,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[6,1,2,3,4,7,5]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[6,1,2,3,5,4,7]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[[.,[[[[.,.],.],.],[.,.]]],.]
[6,1,2,3,5,7,4]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[6,1,2,3,7,4,5]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[6,1,2,3,7,5,4]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[6,1,2,4,3,5,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,4,3,7,5]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,4,5,3,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,4,5,7,3]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,4,7,3,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,4,7,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,5,3,4,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,5,3,7,4]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,5,4,3,7]=>[6,2,3,5,4,1,7]=>[2,6,5,3,4,7,1]=>[[.,[[[.,.],.],[.,[.,.]]]],.]
[6,1,2,5,4,7,3]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[6,1,2,5,7,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,5,7,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,3,4,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,3,5,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,4,3,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,4,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,5,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,2,7,5,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[6,1,3,2,4,5,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,1,3,2,4,7,5]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,1,3,2,5,4,7]=>[6,2,4,3,5,1,7]=>[2,6,4,5,3,7,1]=>[[.,[[[.,.],[.,.]],[.,.]]],.]
[6,1,3,2,5,7,4]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[6,1,3,2,7,4,5]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,1,3,2,7,5,4]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[6,1,3,4,2,5,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,3,4,2,7,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,3,4,5,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,3,4,5,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,3,4,7,2,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,4,7,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,5,2,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,3,5,2,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,3,5,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,3,5,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,3,5,7,2,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,5,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,3,7,2,4,5]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,1,3,7,2,5,4]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[6,1,3,7,4,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,3,7,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,3,7,5,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,3,7,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,2,3,5,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,2,3,7,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,2,5,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,2,5,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,2,7,3,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,2,7,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,3,2,5,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,3,2,7,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,3,5,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,3,5,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,3,7,2,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,3,7,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,5,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,5,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,5,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,4,5,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,4,5,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,5,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,4,7,2,3,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,3,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,4,7,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,2,3,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,2,3,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,2,4,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,2,4,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,2,7,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,2,7,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,3,2,4,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,3,2,7,4]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,3,4,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,3,4,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,3,7,2,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,3,7,4,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,4,2,3,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,4,2,7,3]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,4,3,2,7]=>[6,2,5,4,3,1,7]=>[2,6,3,4,5,7,1]=>[[.,[[.,.],[.,[.,[.,.]]]]],.]
[6,1,5,4,3,7,2]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[6,1,5,4,7,2,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,4,7,3,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,5,7,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,5,7,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,2,3,4,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,3,5,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,4,3,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,4,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,5,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,2,5,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,1,7,3,2,4,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,2,5,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,4,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,5,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,3,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,2,3,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,3,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,4,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,1,7,5,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[6,2,1,3,4,5,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,2,1,3,4,7,5]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[6,2,1,3,5,4,7]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[[.,[[[.,[.,.]],.],[.,.]]],.]
[6,2,1,3,5,7,4]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[6,2,1,3,7,4,5]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,2,1,3,7,5,4]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[6,2,1,4,3,5,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,4,3,7,5]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,4,5,3,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,4,5,7,3]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,4,7,3,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,4,7,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,5,3,4,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,5,3,7,4]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,5,4,3,7]=>[6,3,2,5,4,1,7]=>[2,5,6,3,4,7,1]=>[[.,[[.,[.,.]],[.,[.,.]]]],.]
[6,2,1,5,4,7,3]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[6,2,1,5,7,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,5,7,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,3,4,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,3,5,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,4,3,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,4,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,5,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,1,7,5,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[6,2,3,1,4,5,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,2,3,1,4,7,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,2,3,1,5,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,2,3,1,5,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,2,3,1,7,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,2,3,1,7,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,2,3,4,1,5,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,4,1,7,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,3,4,7,1,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,2,3,4,7,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,2,3,5,1,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,5,1,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,3,5,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,2,3,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,2,3,5,7,1,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,2,3,5,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,2,3,7,1,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,2,3,7,1,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,2,3,7,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,7,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,3,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,2,4,1,3,5,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,4,1,3,7,5]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,4,1,5,3,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,4,1,5,7,3]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,4,1,7,3,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,4,1,7,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,4,3,1,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,3,1,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,3,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,3,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,5,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,4,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,4,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,4,7,1,3,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,4,7,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,4,7,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,4,7,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,4,7,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,4,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,1,3,4,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,5,1,3,7,4]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,5,1,4,3,7]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[[.,[[.,.],[[.,.],[.,.]]]],.]
[6,2,5,1,4,7,3]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[6,2,5,1,7,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,5,1,7,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,5,3,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,4,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,5,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,2,5,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,2,5,7,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,5,7,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,5,7,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,7,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,1,3,4,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,3,5,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,4,3,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,4,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,5,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,1,5,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,7,3,1,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,3,1,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,3,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,3,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,4,1,3,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,4,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,4,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,4,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,5,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,5,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,2,7,5,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,5,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,1,2,4,5,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,1,2,4,7,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,1,2,5,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,1,2,5,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,1,2,7,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,1,2,7,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,1,4,2,5,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,4,2,7,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,1,4,5,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,4,5,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,1,4,7,2,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,1,4,7,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,1,5,2,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,5,2,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,1,5,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,1,5,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,1,5,7,2,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,1,5,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,1,7,2,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,1,7,2,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,1,7,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,1,7,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,1,4,5,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,2,1,4,7,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,2,1,5,4,7]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[[.,[[.,[.,[.,.]]],[.,.]]],.]
[6,3,2,1,5,7,4]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[6,3,2,1,7,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,2,1,7,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[6,3,2,4,1,5,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,4,1,7,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,2,4,7,1,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,4,7,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,5,1,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,5,1,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,2,5,4,1,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,3,2,5,4,7,1]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,3,2,5,7,1,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,5,7,4,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,7,1,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,2,7,1,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[6,3,2,7,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,7,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,7,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,2,7,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,4,1,2,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,1,2,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,1,5,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,1,7,2,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,2,1,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,2,1,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,2,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,4,7,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,1,2,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,2,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,3,5,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,3,5,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,3,5,7,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,5,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,2,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,7,1,2,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,7,1,4,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,5,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,2,1,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,7,2,1,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,7,2,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,2,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,1,2,3,5,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,2,3,7,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,2,5,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,2,5,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,2,7,3,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,2,7,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,3,2,5,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,3,2,7,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,3,5,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,3,5,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,3,7,2,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,3,7,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,5,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,5,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,5,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,4,1,5,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,4,1,5,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,5,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,1,7,2,3,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,1,7,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,2,1,3,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,1,3,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,1,5,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,1,5,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,1,7,3,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,1,7,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,3,1,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,3,1,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,3,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,3,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,5,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,5,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,5,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,2,5,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,2,5,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,5,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,7,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,2,7,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,1,2,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,1,2,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,1,5,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,1,5,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,1,7,2,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,1,7,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,2,1,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,2,1,7,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,2,7,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,2,7,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,5,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,3,7,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,4,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,4,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,2,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,3,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,2,3,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,2,4,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,2,4,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,2,7,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,2,7,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,3,2,4,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,3,2,7,4]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,3,4,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,3,4,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,3,7,2,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,3,7,4,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,4,2,3,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,4,2,7,3]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,4,3,2,7]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[[.,[.,[[.,.],[.,[.,.]]]]],.]
[6,5,1,4,3,7,2]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[6,5,1,4,7,2,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,4,7,3,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,1,7,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,1,7,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,1,3,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,1,4,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,1,4,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,1,7,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,1,7,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,3,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,3,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,3,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,4,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,4,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,4,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,2,4,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,2,4,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,4,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,2,7,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,1,2,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,1,4,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,1,4,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,1,7,2,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,1,7,4,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,2,1,7,4]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,2,7,1,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,2,7,4,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,4,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,7,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,1,2,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,1,3,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,1,3,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,1,7,2,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,1,7,3,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,2,1,7,3]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,2,7,1,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,2,7,3,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,3,1,7,2]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
[6,5,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[6,5,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,3,5,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,4,3,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,4,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,5,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,5,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,3,2,4,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,2,5,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,3,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,2,3,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,4,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,1,5,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[6,7,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,3,5,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,4,3,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,4,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,5,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,1,5,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[6,7,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,1,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,2,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,4,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,5,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,1,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,3,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,1,2,3,4,5,6]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,1,2,3,4,6,5]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[.,[[[[[.,.],.],.],.],[.,.]]]
[7,1,2,3,5,4,6]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,3,5,6,4]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,3,6,4,5]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,3,6,5,4]=>[7,2,3,4,6,5,1]=>[1,6,5,4,2,3,7]=>[.,[[[[.,.],.],.],[.,[.,.]]]]
[7,1,2,4,3,5,6]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,2,4,3,6,5]=>[7,2,3,5,4,6,1]=>[1,6,5,3,4,2,7]=>[.,[[[[.,.],.],[.,.]],[.,.]]]
[7,1,2,4,5,3,6]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,4,5,6,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,4,6,3,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,4,6,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,3,4,6]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,3,6,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,4,3,6]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,4,6,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,6,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,5,6,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,3,4,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,3,5,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,4,3,5]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,4,5,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,5,3,4]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,6,5,4,3]=>[7,2,3,6,5,4,1]=>[1,6,5,2,3,4,7]=>[.,[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,3,2,4,5,6]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,3,2,4,6,5]=>[7,2,4,3,5,6,1]=>[1,6,4,5,3,2,7]=>[.,[[[[.,.],[.,.]],.],[.,.]]]
[7,1,3,2,5,4,6]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,2,5,6,4]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,2,6,4,5]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,2,6,5,4]=>[7,2,4,3,6,5,1]=>[1,6,4,5,2,3,7]=>[.,[[[.,.],[.,.]],[.,[.,.]]]]
[7,1,3,4,2,5,6]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,4,2,6,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,3,4,5,2,6]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,4,5,6,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,4,6,2,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,4,6,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,3,5,2,4,6]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,5,2,6,4]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,5,4,2,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,5,4,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,5,6,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,5,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,2,4,5]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,6,2,5,4]=>[7,2,5,6,3,4,1]=>[1,6,3,2,5,4,7]=>[.,[[[.,.],.],[[.,.],[.,.]]]]
[7,1,3,6,4,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,5,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,3,6,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,2,3,5,6]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,4,2,3,6,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,4,2,5,3,6]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,2,5,6,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,2,6,3,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,2,6,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,3,2,5,6]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,4,3,2,6,5]=>[7,2,5,4,3,6,1]=>[1,6,3,4,5,2,7]=>[.,[[[.,.],[.,[.,.]]],[.,.]]]
[7,1,4,3,5,2,6]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,3,5,6,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,3,6,2,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,3,6,5,2]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,4,5,2,3,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,2,6,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,3,2,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,3,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,5,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,2,3,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,3,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,4,6,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,2,3,4,6]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,3,6,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,4,3,6]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,4,6,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,6,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,2,6,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,5,3,2,4,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,3,2,6,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,3,4,2,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
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[7,1,5,3,6,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,3,6,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,2,3,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,2,6,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,3,2,6]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,3,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,6,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,4,6,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,5,6,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,2,3,4,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,3,5,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,4,3,5]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,4,5,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,5,3,4]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,2,5,4,3]=>[7,2,6,4,5,3,1]=>[1,6,2,4,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,1,6,3,2,4,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,2,5,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,4,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,4,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,5,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,3,5,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,2,3,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,2,5,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,3,2,5]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,3,5,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,5,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,4,5,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,2,3,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,2,4,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,3,2,4]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,3,4,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,4,2,3]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,1,6,5,4,3,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,.],[.,[.,[.,[.,.]]]]]]
[7,2,1,3,4,5,6]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,1,3,4,6,5]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[.,[[[[.,[.,.]],.],.],[.,.]]]
[7,2,1,3,5,4,6]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,1,3,5,6,4]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,1,3,6,4,5]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,1,3,6,5,4]=>[7,3,2,4,6,5,1]=>[1,5,6,4,2,3,7]=>[.,[[[.,[.,.]],.],[.,[.,.]]]]
[7,2,1,4,3,5,6]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,1,4,3,6,5]=>[7,3,2,5,4,6,1]=>[1,5,6,3,4,2,7]=>[.,[[[.,[.,.]],[.,.]],[.,.]]]
[7,2,1,4,5,3,6]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,4,5,6,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,4,6,3,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,4,6,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,3,4,6]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,3,6,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,4,3,6]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,4,6,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,6,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,5,6,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,3,4,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,3,5,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,4,3,5]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,4,5,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,5,3,4]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,1,6,5,4,3]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]=>[.,[[.,[.,.]],[.,[.,[.,.]]]]]
[7,2,3,1,4,5,6]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,2,3,1,4,6,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,2,3,1,5,4,6]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,1,5,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,1,6,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,1,6,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,2,3,4,1,5,6]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,3,4,1,6,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,2,3,4,5,1,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,4,6,1,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,4,6,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,2,3,5,1,4,6]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,5,1,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,5,4,1,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,5,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,1,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,6,1,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,2,3,6,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,4,1,3,5,6]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,4,1,3,6,5]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[.,[[[.,.],[[.,.],.]],[.,.]]]
[7,2,4,1,5,3,6]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,1,5,6,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,1,6,3,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,1,6,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,4,3,1,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,4,3,1,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,2,4,3,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,3,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,2,4,5,1,3,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,4,5,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,4,5,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,5,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,5,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,1,3,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,4,6,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,4,6,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,1,3,4,6]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,3,6,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,4,3,6]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,4,6,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,6,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,1,6,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,5,3,1,4,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,3,1,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,3,4,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,3,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,3,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,4,1,3,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,4,1,6,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,4,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,4,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,4,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,6,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,6,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,5,6,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,6,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,5,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,1,3,4,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,3,5,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,4,3,5]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,4,5,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,5,3,4]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,1,5,4,3]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]=>[.,[[.,.],[[.,.],[.,[.,.]]]]]
[7,2,6,3,1,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,3,1,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,3,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,3,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,4,1,3,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,4,1,5,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,4,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,4,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,5,1,3,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,5,1,4,3]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,6,5,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,5,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,1,2,4,5,6]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,1,2,4,6,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,1,2,5,4,6]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,2,5,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,2,6,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,2,6,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,1,4,2,5,6]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,1,4,2,6,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,1,4,5,2,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,1,4,5,6,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,1,4,6,2,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,1,4,6,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,1,5,2,4,6]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,5,2,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,5,4,2,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,5,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,2,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,6,2,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,1,6,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,1,6,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,1,4,5,6]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,2,1,4,6,5]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[.,[[[.,[.,[.,.]]],.],[.,.]]]
[7,3,2,1,5,4,6]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,1,5,6,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,1,6,4,5]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,1,6,5,4]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]=>[.,[[.,[.,[.,.]]],[.,[.,.]]]]
[7,3,2,4,1,5,6]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,2,4,1,6,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,3,2,4,5,1,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,2,4,6,1,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,2,4,6,5,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,3,2,5,1,4,6]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,5,1,6,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,5,4,1,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,5,4,6,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,5,6,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,5,6,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,1,4,5]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,1,5,4]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]=>[.,[[.,[.,.]],[[.,.],[.,.]]]]
[7,3,2,6,4,1,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,4,5,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,5,1,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,6,5,4,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,4,1,2,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,1,2,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,1,5,2,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,1,6,2,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,1,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,2,1,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,3,4,2,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,3,4,5,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,2,4,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,5,1,2,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,5,1,4,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,4,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,6,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,1,4,6]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,5,2,1,6,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
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[7,3,5,2,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,2,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,1,2,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,1,4,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,5,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,1,4,5]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,2,1,5,4]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,2,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,1,2,3,5,6]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,1,2,3,6,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,1,2,5,3,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,2,5,6,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,2,6,3,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,2,6,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,3,2,5,6]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,1,3,2,6,5]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[.,[[.,[[.,.],[.,.]]],[.,.]]]
[7,4,1,3,5,2,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,3,5,6,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,3,6,2,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,3,6,5,2]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,1,5,2,3,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,3,2,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,5,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,2,3,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,1,6,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,2,1,3,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,1,3,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,1,5,3,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,1,5,6,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,1,6,3,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,1,6,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,1,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,3,1,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,2,3,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,3,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,2,5,1,3,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,1,2,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,1,2,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,1,5,2,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,1,5,6,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,1,6,2,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,1,6,5,2]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,1,5,6]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,2,1,6,5]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,4,3,2,5,1,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,6,1,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,2,6,5,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,3,5,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,2,3,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,2,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,3,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,3,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
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[7,4,5,2,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,2,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,3,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,2,3,4,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,3,6,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,4,3,6]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,4,6,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,6,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,6,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,1,3,2,4,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,2,6,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,4,2,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,4,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,6,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,6,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,2,3,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,2,6,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,3,2,6]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,3,6,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,6,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,4,6,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,6,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,2,1,3,4,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,3,6,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,4,3,6]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,4,6,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,6,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,1,6,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,3,1,4,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,1,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,4,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,1,3,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,4,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,2,4,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,2,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,4,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,4,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,6,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,6,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,1,4,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,1,6,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,4,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,4,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,6,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,6,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,2,3,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,2,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,3,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,3,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,6,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,1,6,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,1,3,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,1,6,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,3,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,3,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,6,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,6,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,1,2,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,1,6,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,2,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,6,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,6,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,3,5,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,4,3,5]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,4,5,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,5,3,4]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,2,5,4,3]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[.,[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,1,3,2,4,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,2,5,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,4,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,4,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,5,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,3,5,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,2,3,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,2,5,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,3,2,5]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,3,5,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,5,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,4,5,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,2,3,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,2,4,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,3,2,4]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,3,4,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,4,2,3]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,1,5,4,3,2]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]
[7,6,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,3,5,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,4,3,5]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,4,5,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,5,3,4]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,1,5,4,3]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[.,[.,[[.,[.,.]],[.,[.,.]]]]]
[7,6,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,1,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,4,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,5,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,2,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,4,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,4,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,5,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,1,5,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,1,5,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,5,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,5,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,2,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,3,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,3,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,5,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,1,5,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,1,5,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,5,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,5,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,1,5,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,2,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,3,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,3,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,4,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,4,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,1,4,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,4,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,4,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,1,4,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,3,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[[[[[[.,.],.],[.,.]],[.,.]],.],.]
[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,5,6,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,4,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[3,4,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,1,2,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[4,5,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,4,2,3,7,5,6,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[4,1,2,3,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[6,4,5,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,4,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[4,6,5,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,3,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,6,7,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,6,7,4,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,7,6,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[8,4,7,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,6,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,6,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,8,7,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,8,4,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,4,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,8,2,4,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,1,2,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
Map
Demazure product with inverse
Description
This map sends a permutation $\pi$ to $\pi^{-1} \star \pi$ where $\star$ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
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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