Identifier
Mp00159:
Permutations
—Demazure product with inverse⟶
Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00069: Permutations —complement⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ 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]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,4,2,1,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[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]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,4,2,5,6,1]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[3,4,2,6,1,5]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[3,4,2,6,5,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[3,4,5,1,2,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[3,4,5,1,6,2]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,4,5,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[3,4,5,2,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,4,5,6,1,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,4,5,6,2,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[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]=>[.,[[.,.],[[.,.],[.,.]]]]
[3,4,6,2,1,5]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[[.,.],[.,[[.,.],[.,.]]]]
[3,4,6,2,5,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]
[3,4,6,5,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,4,6,5,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,5,1,2,4,6]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[[[.,.],.],[.,[[.,.],.]]]
[3,5,1,2,6,4]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,5,1,4,2,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[3,5,1,4,6,2]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,5,1,6,2,4]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[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]=>[.,[[.,.],[.,[.,[.,.]]]]]
[3,5,4,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[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]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,5,4,6,2,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,5,6,2,1,4]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[3,5,6,2,4,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,5,6,4,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,5,6,4,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,2,4,5]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[3,6,1,2,5,4]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]=>[[.,[.,.]],[.,[[.,.],.]]]
[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]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,6,1,5,2,4]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,1,5,4,2]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[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]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,4,5,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,6,2,5,1,4]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[[.,.],[[.,.],[[.,.],.]]]
[3,6,2,5,4,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[3,6,4,1,2,5]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[3,6,4,1,5,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,6,4,2,1,5]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[3,6,4,2,5,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,6,4,5,1,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,6,4,5,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,6,5,1,2,4]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[3,6,5,1,4,2]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[3,6,5,2,1,4]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[[.,.],[.,[.,[[.,.],.]]]]
[3,6,5,2,4,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[4,1,2,3,5,6]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]
[4,1,2,3,6,5]=>[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,1,2,5,3,6]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]
[4,1,2,5,6,3]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[4,1,2,6,3,5]=>[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]
[4,1,2,6,5,3]=>[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,1,3,2,5,6]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[[[.,.],.],[[.,.],[.,.]]]
[4,1,3,2,6,5]=>[4,2,3,1,6,5]=>[3,5,4,6,1,2]=>[[.,[.,.]],[[.,.],[.,.]]]
[4,1,3,5,2,6]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[[.,.],[[[.,.],.],[.,.]]]
[4,1,3,5,6,2]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[.,[[[[.,.],.],.],[.,.]]]
[4,1,3,6,2,5]=>[5,2,3,6,1,4]=>[2,5,4,1,6,3]=>[[.,.],[[[.,.],.],[.,.]]]
[4,1,3,6,5,2]=>[6,2,3,5,4,1]=>[1,5,4,2,3,6]=>[.,[[[.,[.,.]],.],[.,.]]]
[4,1,5,2,3,6]=>[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,1,5,2,6,3]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,1,5,3,2,6]=>[5,2,4,3,1,6]=>[2,5,3,4,6,1]=>[[.,.],[[.,[.,.]],[.,.]]]
[4,1,5,3,6,2]=>[6,2,4,3,5,1]=>[1,5,3,4,2,6]=>[.,[[[.,.],[.,.]],[.,.]]]
[4,1,5,6,2,3]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]=>[.,[[.,[.,[.,.]]],[.,.]]]
[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]=>[.,[[.,[.,[.,.]]],[.,.]]]
[4,2,1,3,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,2,1,3,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,2,1,5,3,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,2,1,5,6,3]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,2,1,6,3,5]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,2,1,6,5,3]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,2,3,1,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,2,3,5,1,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,2,3,5,6,1]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,2,3,6,1,5]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,2,3,6,5,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,2,5,1,3,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[4,2,5,1,6,3]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,2,5,3,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[4,2,5,3,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
[4,2,5,6,1,3]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[4,2,5,6,3,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,.]]]]]]
[4,3,1,2,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[4,3,1,2,6,5]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]=>[[.,[.,.]],[.,[.,[.,.]]]]
[4,3,1,5,2,6]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,1,5,6,2]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[.,[[[.,.],.],[.,[.,.]]]]
[4,3,1,6,2,5]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]=>[[.,.],[[.,.],[.,[.,.]]]]
[4,3,1,6,5,2]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[[[.,.],.],[.,[.,[.,.]]]]
[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]=>[.,[[.,[.,.]],[.,[.,.]]]]
[4,3,5,1,2,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[[.,.],[.,[.,[.,[.,.]]]]]
[4,3,5,1,6,2]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
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[4,3,5,2,6,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]
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[1,2,3,4,7,5,6]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]
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[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]
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[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
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[1,2,3,6,4,5,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]
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[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]=>[[[[.,[[.,.],[.,.]]],.],.],.]
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[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]=>[[[[.,.],[[.,.],[.,.]]],.],.]
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[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]=>[[[[.,.],[[.,.],[.,.]]],.],.]
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[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]=>[[[[.,.],[[.,.],[.,.]]],.],.]
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[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]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
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[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]=>[[[.,[.,[.,[.,[.,.]]]]],.],.]
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[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]=>[[[[.,.],[[.,.],[.,.]]],.],.]
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[1,2,6,4,5,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],.]
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[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]=>[[.,[.,[.,[.,[.,[.,.]]]]]],.]
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[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[6,7,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]
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[2,1,4,7,5,6,3]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,.]]
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[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]=>[[[[.,.],.],[.,[.,.]]],[.,.]]
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[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]=>[[.,[[[.,.],.],[.,.]]],[.,.]]
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[2,1,5,3,7,6,4]=>[2,1,7,4,6,5,3]=>[6,7,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,.]]
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[2,1,5,4,6,3,7]=>[2,1,6,4,5,3,7]=>[6,7,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,.]]
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[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]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[7,1,5,3,4,6,2]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]=>[.,[[.,[.,[.,[.,.]]]],[.,.]]]
[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]=>[.,[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,5,2,4,1,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,1,3,6]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,6,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,6,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,6,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,4,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,5,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,5,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,3,4,2,1]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[7,5,6,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
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[7,6,4,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
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[7,6,5,3,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,5,6,3,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,5,3,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,3,4,5,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,4,3,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,3,4,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,3,5,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,4,5,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,7,6,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,2,3,1]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[6,5,7,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,5,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,6,7,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,2,4,1]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,2,3,4,1]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[7,8,6,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[7,8,5,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[7,8,3,4,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,6,4,5,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,6,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,3,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,3,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,4,5,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,3,5,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,5,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,5,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,6,4,3,2,5,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,5,4,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,5,3,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,4,5,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,4,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,5,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,2,3,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,3,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,3,4,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
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[8,2,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,6,5,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,5,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,5,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,6,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,3,4,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,5,3,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,3,5,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,4,5,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,6,5,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
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[6,7,5,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,2,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,2,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,4,2,3,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,2,4,5,6,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,2,3,4,5,6,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,5,4,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,4,6,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,5,6,3,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,3,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,3,4,5,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,4,3,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,3,5,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,4,5,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,5,4,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,6,4,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,4,5,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,4,6,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,5,6,2,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,3,2,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,5,2,3,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,6,2,3,4,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,3,4,5,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,4,3,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,5,3,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,3,4,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,3,5,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,4,5,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,4,2,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,5,2,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,3,2,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,2,3,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,3,2,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[3,4,2,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[4,2,3,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[3,2,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[8,7,6,5,4,3,1,2]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,5,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,4,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[6,5,7,4,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,4,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,4,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,6,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,6,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,3,4,1,2]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,3,4,1,2]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,4,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,7,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,5,4,6,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[8,4,3,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
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[7,5,6,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,5,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,6,4,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,4,6,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,5,6,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,5,3,4,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,6,3,4,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,4,3,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,3,4,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,4,3,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,5,3,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,3,4,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,3,5,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,4,5,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,7,6,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,5,4,2,1,3]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
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[6,7,5,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,6,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,4,6,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,5,6,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,6,7,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,6,7,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,5,4,1,2,3]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,5,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,6,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,7,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,5,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,5,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,5,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,5,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,6,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
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[7,4,5,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,4,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,3,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,4,3,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,4,5,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,5,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,3,5,6,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,5,4,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,4,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,6,3,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,6,3,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,3,4,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,4,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,6,2,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,5,3,2,4,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,4,2,3,5,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,3,2,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,3,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,4,3,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,4,5,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[5,4,2,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,2,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[5,2,3,4,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,2,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[7,6,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,5,3,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,3,4,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,3,4,5,7,1,2,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,4,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,6,5,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,4,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,3,2,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,3,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,4,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,2,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,1,2,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,7,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,4,3,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,3,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,5,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,5,2,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,3,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,3,5,1,6,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,3,4,5,1,6,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,5,4,3,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,4,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,1,3,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,2,3,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,2,1,4,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,3,1,4,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,1,2,4,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,1,2,3,4,6,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,4,3,2,1,5,6,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,2,3,4,1,5,6,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,3,1,2,5,6,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,3,4,1,2,5,6,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,4,1,2,3,5,6,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,3,2,1,4,5,6,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[7,2,3,1,4,5,6,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[7,3,1,2,4,5,6,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[7,1,2,3,4,5,6,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,4,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,5,6,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,3,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,3,4,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,4,5,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,4,6,2,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,3,2,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,2,3,4,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,4,3,2,5,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,2,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,4,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,5,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,3,5,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,4,5,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[5,3,2,4,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[5,2,3,4,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,2,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[6,5,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,4,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,4,5,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,4,6,3,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,3,4,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,4,3,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,3,5,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,4,5,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,5,4,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,4,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,4,5,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,4,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,5,6,2,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,5,6,1,2,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,3,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,3,2,1,4,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,2,1,3,4,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,1,2,3,4,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,6,1,2,3,4,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,4,3,2,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,3,4,2,1,5,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,4,3,1,2,5,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,4,2,1,3,5,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,4,1,2,3,5,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,3,2,1,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,2,3,1,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,3,1,2,4,5,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,1,2,3,4,5,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,5,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,3,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,3,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[3,4,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,4,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,5,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,3,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,4,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[4,2,3,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,2,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[5,4,3,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,3,4,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,3,5,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[3,4,5,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,4,2,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,5,2,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,4,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[4,5,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,3,2,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,2,3,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,3,1,2,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,2,1,3,4,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[5,1,2,3,4,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[3,4,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[3,2,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[4,3,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[3,4,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[4,2,1,3,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[4,1,2,3,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[3,1,2,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[.,[.,.]]]
[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],[.,.]]
[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]
[6,8,7,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,7,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,7,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,8,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,8,7,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,8,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,4,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,5,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,6,8,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,6,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,6,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,7,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,7,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,5,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,7,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,7,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,8,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,8,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,8,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,6,8,7,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,5,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,7,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,5,6,7,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,3,8,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,7,8,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,8,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,6,7,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,3,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,3,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,3,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,5,4,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,5,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,5,8,7,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,5,7,8,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,4,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,6,4,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,5,6,3,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,5,4,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,6,5,8,7,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,4,3,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,5,3,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,3,5,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,4,5,6,8,7,2,1]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,7,6,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,7,6,5,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,4,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,7,6,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,4,6,7,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,3,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,5,4,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,3,5,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,4,5,7,6,8,2,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,6,5,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,5,6,4,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,3,6,5,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,4,6,5,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,5,4,6,7,8,2,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,8,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,8,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,8,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,5,8,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,7,5,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,5,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,6,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,8,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,7,8,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,6,8,7,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,6,7,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,4,8,7,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,4,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,5,7,8,6,3,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,6,5,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,5,6,4,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,4,6,5,8,7,3,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,4,5,6,8,7,3,1]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,7,6,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,7,5,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,5,6,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,7,6,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,4,6,7,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,5,4,7,6,8,3,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,6,5,4,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,5,6,4,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,4,6,5,7,8,3,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,5,4,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,4,5,6,7,8,3,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,2,8,7,6,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,7,8,6,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,6,8,7,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,5,7,8,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,6,5,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,2,6,7,5,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,2,5,7,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,2,5,6,7,8,4,1]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,3,8,7,6,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,6,7,8,5,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,5,8,7,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,5,7,8,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,6,5,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,3,5,6,8,7,4,1]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,3,7,6,5,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,3,5,7,6,8,4,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,3,5,6,7,8,4,1]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,3,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,3,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,3,2,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,4,2,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,4,2,7,8,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,4,3,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,4,3,6,8,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,2,4,8,7,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,2,4,7,8,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,3,4,8,7,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,3,4,7,8,6,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,3,4,6,8,7,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,3,4,7,6,8,5,1]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[2,3,4,6,7,8,5,1]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[5,4,3,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,4,3,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,5,3,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,5,4,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[4,3,5,2,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,4,5,2,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,5,4,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,5,4,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,4,5,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,4,5,3,7,8,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,2,5,4,7,8,6,1]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,3,5,4,8,7,6,1]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,3,5,4,7,8,6,1]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[6,5,4,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,6,5,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,4,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,5,6,3,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,6,5,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,5,6,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[4,3,6,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,4,3,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,5,3,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,5,4,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,4,5,6,2,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,6,5,4,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,6,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,4,5,6,3,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,2,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[3,4,2,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[2,4,3,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[5,4,3,2,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[4,5,3,2,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,5,4,3,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,4,5,3,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[3,2,4,5,6,8,7,1]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[2,3,4,5,6,8,7,1]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[5,7,6,4,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,6,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,4,6,7,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,3,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,5,3,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,4,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,4,5,7,6,2,8,1]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,6,5,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,6,5,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,3,6,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,4,6,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[3,5,4,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,7,6,5,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,6,5,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,6,7,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,4,6,7,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,5,4,7,6,3,8,1]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,4,6,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[2,4,5,6,7,3,8,1]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,2,7,6,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,6,7,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,5,7,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,6,5,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,2,5,6,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,3,7,6,5,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,3,5,7,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,3,5,6,7,4,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,2,4,7,6,5,8,1]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,3,4,7,6,5,8,1]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,3,4,6,7,5,8,1]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,4,3,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,5,4,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,3,5,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,4,5,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,5,4,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,6,5,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,5,6,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,4,6,5,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,5,4,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,6,5,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,5,6,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,4,6,5,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,5,4,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,4,5,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,3,2,6,5,7,8,1]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[3,4,2,6,5,7,8,1]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,4,3,6,5,7,8,1]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[2,3,4,6,5,7,8,1]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[3,5,4,2,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,5,4,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,4,5,3,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,2,5,4,6,7,8,1]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,3,5,4,6,7,8,1]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,4,3,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,8,7,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,6,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,7,8,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,8,7,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,5,8,7,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,6,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,7,5,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,7,6,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,5,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,6,7,8,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,8,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,7,8,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,6,8,7,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,6,7,8,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,4,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,5,8,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,5,7,8,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,5,4,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,4,6,5,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,5,4,6,8,7,3,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,7,6,5,4,8,3,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,4,7,6,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,4,6,7,5,8,3,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,6,5,4,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,5,6,4,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,5,4,6,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,4,5,6,7,8,3,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,3,8,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,7,8,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,6,8,7,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,6,7,8,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,5,8,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,5,7,8,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
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[3,2,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,1,5,8,7,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,2,1,5,6,8,7,4]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[3,2,1,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[3,2,1,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[3,2,1,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[3,2,1,6,5,7,8,4]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[3,2,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,3,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,3,1,7,8,6,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,3,1,6,8,7,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,3,1,7,6,8,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,3,1,6,7,8,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,3,1,5,7,8,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,3,1,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[2,3,1,7,6,5,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,3,1,6,7,5,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,3,1,5,7,6,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,3,2,8,7,6,5,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,2,6,8,7,5,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,2,7,6,8,5,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,2,6,7,8,5,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,2,5,8,7,6,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,2,5,7,8,6,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,2,6,5,8,7,4]=>[1,3,2,8,5,7,6,4]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,3,2,5,6,8,7,4]=>[1,3,2,8,5,7,6,4]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,3,2,7,6,5,8,4]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,3,2,6,7,5,8,4]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,3,2,5,7,6,8,4]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,3,2,6,5,7,8,4]=>[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[1,3,2,5,6,7,8,4]=>[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[2,1,3,8,7,6,5,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,1,3,7,8,6,5,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,1,3,6,8,7,5,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,1,3,6,7,8,5,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,1,3,6,5,8,7,4]=>[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[2,1,3,5,6,7,8,4]=>[2,1,3,8,5,6,7,4]=>[7,8,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[1,2,3,8,7,6,5,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,3,7,8,6,5,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,3,6,8,7,5,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,3,7,6,8,5,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,3,6,7,8,5,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,3,5,8,7,6,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,3,5,7,8,6,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,3,6,5,8,7,4]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[1,2,3,5,6,8,7,4]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[1,2,3,6,7,5,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[1,2,3,5,7,6,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[1,2,3,6,5,7,8,4]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,3,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,4,2,1,8,7,6,5]=>[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]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,2,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,2,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,4,2,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,4,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,4,3,1,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,4,3,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,4,3,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[2,4,3,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,2,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,3,4,1,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,3,4,1,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,3,4,1,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,3,4,1,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,4,3,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,4,3,2,6,8,7,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,4,3,2,7,6,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,4,3,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,3,4,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,3,4,2,7,8,6,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,3,4,2,6,8,7,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,3,4,2,7,6,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,3,4,2,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,3,7,8,6,5]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,3,6,8,7,5]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[1,2,4,3,7,8,6,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[1,2,4,3,6,8,7,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[3,2,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,2,1,4,7,8,6,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,2,1,4,6,8,7,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,2,1,4,7,6,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[3,2,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,3,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[2,3,1,4,7,8,6,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[2,3,1,4,7,6,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[1,3,2,4,6,8,7,5]=>[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[2,1,3,4,7,8,6,5]=>[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[1,2,3,4,7,8,6,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[1,2,3,4,6,8,7,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,5,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,5,4,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,5,4,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,3,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,4,5,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,4,5,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,5,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,5,4,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,4,5,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,4,5,3,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,2,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,5,4,1,7,8,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,5,4,1,8,7,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,2,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,3,2,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,4,2,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,4,2,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,4,3,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[2,4,3,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,2,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,4,5,1,8,7,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,5,4,3,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,5,4,3,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,4,5,3,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,4,5,3,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,3,5,4,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,4,3,5,2,8,7,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,4,3,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,4,5,2,8,7,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,4,5,2,7,8,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[2,1,5,4,3,8,7,6]=>[2,1,5,4,3,8,7,6]=>[7,8,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[2,1,4,5,3,8,7,6]=>[2,1,5,4,3,8,7,6]=>[7,8,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]
[1,2,5,4,3,8,7,6]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,2,5,4,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,2,4,5,3,8,7,6]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,2,4,5,3,7,8,6]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,8,7,6]=>[8,7,6,4,5,1,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,7,6]=>[8,7,6,4,5,1,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,4,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[2,4,3,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,2,4,1,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[3,2,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,3,4,1,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,3,4,1,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,4,3,2,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,4,3,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,3,4,2,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[3,2,1,4,5,7,8,6]=>[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]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,8,7,6]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,7,6]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,6,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,6,5,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,4,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,5,6,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,5,6,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,3,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,4,6,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,5,3,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,5,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,4,5,6,2,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,6,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,5,6,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,4,6,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,2,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,2,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,3,6,5,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,3,5,6,4,1,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,3,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,4,2,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[2,4,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,2,5,4,6,1,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,2,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,4,2,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[2,4,3,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[1,6,5,4,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,5,6,4,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,5,4,6,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,3,6,5,4,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,5,6,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,4,6,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,5,4,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[1,3,2,6,5,4,8,7]=>[1,3,2,6,5,4,8,7]=>[8,6,7,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[1,3,2,5,6,4,8,7]=>[1,3,2,6,5,4,8,7]=>[8,6,7,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]
[2,1,3,6,5,4,8,7]=>[2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[2,1,3,5,6,4,8,7]=>[2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[1,2,3,6,5,4,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[1,2,3,5,6,4,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,4,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,4,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,2,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[1,3,4,2,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[8,5,6,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]
[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[8,7,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],.],.]
[2,3,1,4,6,5,8,7]=>[3,2,1,4,6,5,8,7]=>[6,7,8,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>[7,8,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],[.,.]]
[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[8,7,6,5,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],.],.],.],.]
[5,4,3,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[4,5,3,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[3,5,4,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[4,3,5,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[3,4,5,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,5,4,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[2,4,5,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[3,2,5,4,1,6,8,7]=>[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[2,3,5,4,1,6,8,7]=>[5,2,4,3,1,6,8,7]=>[4,7,5,6,8,3,1,2]=>[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]
[2,4,3,5,1,6,8,7]=>[5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],[.,.]]
[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>[8,7,6,4,5,3,1,2]=>[[[[[[.,[.,.]],.],[.,.]],.],.],.]
[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[3,4,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>[7,8,5,6,4,3,1,2]=>[[[[[.,[.,.]],.],.],[.,.]],[.,.]]
[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[8,7,5,6,4,3,1,2]=>[[[[[[.,[.,.]],.],.],[.,.]],.],.]
[3,2,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[6,7,8,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[2,3,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[6,7,8,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[8,6,7,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],[.,.]],.]
[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],[.,.]]
[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[8,7,6,5,4,3,1,2]=>[[[[[[[.,[.,.]],.],.],.],.],.],.]
[5,7,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,6,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,7,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,5,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,6,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,6,7,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,4,7,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,3,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,5,4,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,3,5,7,6,2,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,5,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[3,5,6,4,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,6,5,7,2,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,7,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,6,7,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,7,6,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,6,7,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,4,6,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,5,4,7,6,3,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,5,6,4,7,3,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,4,5,6,7,3,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,2,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,6,5,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[2,3,5,6,7,4,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[2,3,4,7,6,5,1,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[2,3,4,6,7,5,1,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[4,3,2,5,7,6,1,8]=>[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,2,5,7,6,1,8]=>[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[2,3,4,5,7,6,1,8]=>[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,6,5,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,6,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,4,6,5,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,5,4,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,5,4,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,5,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,2,6,5,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,3,5,6,4,7,1,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,3,4,6,5,7,1,8]=>[7,2,3,5,4,6,1,8]=>[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,5,4,2,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,5,4,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,4,5,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,3,5,4,6,7,1,8]=>[7,2,4,3,5,6,1,8]=>[2,7,5,6,4,3,8,1]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[1,7,6,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,7,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,6,5,7,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,6,7,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,4,7,6,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,4,6,7,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,4,7,6,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,6,4,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,4,6,5,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,5,4,6,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,4,5,6,7,3,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,3,7,6,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,6,7,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,5,7,6,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,3,6,5,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,3,5,6,7,4,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,3,4,6,7,5,2,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,4,3,6,5,7,2,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,3,4,6,5,7,2,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,4,3,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[2,1,7,6,5,4,3,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[2,1,6,7,5,4,3,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[2,1,5,6,7,4,3,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[2,1,4,6,7,5,3,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[2,1,5,4,6,7,3,8]=>[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,1,4,5,6,7,3,8]=>[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[1,2,7,6,5,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,2,6,7,5,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,2,5,7,6,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,2,5,6,7,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,2,4,6,7,5,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,2,5,6,4,7,3,8]=>[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[1,2,4,6,5,7,3,8]=>[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[1,2,5,4,6,7,3,8]=>[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[1,2,4,5,6,7,3,8]=>[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[3,2,1,7,6,5,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[3,2,1,6,7,5,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[3,2,1,5,7,6,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[3,2,1,6,5,7,4,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[3,2,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[2,3,1,6,7,5,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[2,3,1,6,5,7,4,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,2,7,6,5,4,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,3,2,6,7,5,4,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,3,2,5,7,6,4,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[2,1,3,6,7,5,4,8]=>[2,1,3,7,6,5,4,8]=>[7,8,6,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]
[1,2,3,7,6,5,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,2,3,6,7,5,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,2,3,5,7,6,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,2,1,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[3,2,4,1,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,2,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,3,4,1,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,3,4,1,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,4,3,2,6,7,5,8]=>[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]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[2,1,4,3,6,7,5,8]=>[2,1,4,3,7,6,5,8]=>[7,8,5,6,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]
[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,3,2,4,7,6,5,8]=>[1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,6,5,8]=>[8,6,7,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],[.,.]],.]
[1,2,3,4,7,6,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[4,5,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[3,5,4,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[3,4,5,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,5,4,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[2,4,5,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[3,2,5,4,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,3,5,4,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,4,2,5,1,7,6,8]=>[5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,4,3,5,1,7,6,8]=>[5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[2,3,4,5,1,7,6,8]=>[5,2,3,4,1,7,6,8]=>[4,7,6,5,8,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,5,4,3,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,4,5,3,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,3,5,4,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[1,4,3,5,2,7,6,8]=>[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,3,4,5,2,7,6,8]=>[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[2,1,5,4,3,7,6,8]=>[2,1,5,4,3,7,6,8]=>[7,8,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]
[1,2,4,5,3,7,6,8]=>[1,2,5,4,3,7,6,8]=>[8,7,4,5,6,2,3,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[6,7,8,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[6,7,8,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],[.,.]],.]
[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[8,7,6,4,5,2,3,1]=>[[[[[[.,.],[.,.]],[.,.]],.],.],.]
[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[3,2,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[2,3,4,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,4,3,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[8,7,5,6,4,2,3,1]=>[[[[[[.,.],[.,.]],.],[.,.]],.],.]
[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],[.,.]],.]
[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>[7,8,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],[.,.]]
[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[8,7,6,5,4,2,3,1]=>[[[[[[[.,.],[.,.]],.],.],.],.],.]
[3,6,5,4,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,3,6,5,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,4,6,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,4,5,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,3,2,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[2,4,3,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[2,3,4,6,5,1,7,8]=>[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[3,5,4,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[1,6,5,4,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,5,6,4,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,4,6,5,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,5,4,6,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,4,5,6,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,3,5,6,4,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,5,4,3,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,4,5,3,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,3,5,4,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,4,3,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[2,1,5,6,4,3,7,8]=>[2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[2,1,4,6,5,3,7,8]=>[2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[1,2,6,5,4,3,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,2,5,6,4,3,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,2,4,6,5,3,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[3,2,1,6,5,4,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[3,2,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[2,3,1,6,5,4,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[2,3,1,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,3,2,6,5,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
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[1,2,3,6,5,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
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[3,2,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,3,4,1,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[7,8,5,6,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],[.,.]]
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[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[8,7,6,5,3,4,2,1]=>[[[[[[[.,.],.],[.,.]],.],.],.],.]
[3,5,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,5,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,4,5,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[3,2,5,4,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,3,5,4,1,6,7,8]=>[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,4,3,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[1,5,4,3,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,4,5,3,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,3,5,4,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,2,5,4,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[8,6,7,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],[.,.]],.]
[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[7,8,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],[.,.]]
[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[[[[[[[.,.],.],.],[.,.]],.],.],.]
[2,4,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[[[[[.,.],.],.],.],[.,[.,[.,.]]]]
[1,4,3,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[7,8,5,6,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,.]],[.,.]]
[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>[[[[[[[.,.],.],.],.],[.,.]],.],.]
[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[8,6,7,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],[.,.]],.]
[1,2,3,4,8,6,7,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[1,2,3,5,8,6,7,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,3,7,5,6,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[1,2,3,7,5,6,8,4]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[1,2,3,8,5,6,7,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,3,8,5,7,6,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,3,8,6,5,7,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,3,8,6,7,5,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[1,2,4,3,8,6,7,5]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[1,2,4,5,8,6,7,3]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,2,4,7,5,6,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,2,4,8,5,6,7,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,2,4,8,6,5,7,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,2,5,4,8,6,7,3]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,2,6,4,5,3,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[1,2,6,4,5,7,8,3]=>[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[1,2,7,4,5,6,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,2,8,4,5,6,7,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,2,8,4,6,7,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,2,8,4,7,6,5,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,2,7,5,4,6,3,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[1,2,7,5,4,6,8,3]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,2,8,5,4,6,7,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,2,8,5,4,7,6,3]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,2,8,5,6,4,7,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,2,8,5,6,7,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,2,8,6,5,4,7,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,2,8,6,5,7,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,2,8,7,5,6,4,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[1,3,2,4,8,6,7,5]=>[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[1,3,2,7,5,6,8,4]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,3,2,8,5,7,6,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,2,8,6,5,7,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,2,8,6,7,5,4]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,4,2,8,6,7,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,3,4,5,8,6,7,2]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[1,3,4,8,5,6,7,2]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,3,4,8,6,5,7,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,3,4,8,6,7,5,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,3,6,4,5,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,3,6,4,5,7,8,2]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[1,3,6,4,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,3,7,4,5,6,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,3,7,4,5,6,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,3,8,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,3,8,4,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,3,8,4,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,3,8,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,3,8,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,3,8,5,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,8,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,8,6,5,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,3,8,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,3,2,8,6,7,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,4,3,5,8,6,7,2]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[1,4,3,8,5,6,7,2]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,4,3,8,5,7,6,2]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,4,3,8,6,5,7,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,4,3,8,6,7,5,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,5,3,4,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[1,5,3,4,2,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,5,3,4,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[1,5,3,4,6,2,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,5,3,4,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[1,6,3,4,5,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,6,3,4,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,7,3,4,5,6,2,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,7,3,4,5,6,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,8,3,4,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,8,3,4,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,8,3,4,7,6,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,6,3,5,4,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,6,3,5,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,7,3,5,4,6,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,3,5,4,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,8,3,5,4,7,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,8,3,5,6,4,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,5,6,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,5,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,3,6,5,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,3,6,5,4,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,7,5,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,3,7,6,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,4,3,5,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,3,5,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,8,4,3,5,6,7,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,8,4,3,5,7,6,2]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,7,4,3,6,5,8,2]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,8,4,3,6,5,7,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,8,4,3,6,7,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,6,4,5,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[1,6,4,5,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,6,4,5,3,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[1,8,4,5,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,7,4,5,6,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,4,5,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,4,5,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,4,6,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,4,6,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,4,6,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,4,7,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,5,4,3,6,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,5,4,3,6,7,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,8,5,4,3,7,6,2]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,8,5,4,6,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,5,4,6,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,5,4,7,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,6,4,5,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,8,6,4,5,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,6,4,5,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,7,4,5,6,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,7,4,6,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,6,5,4,3,7,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,6,5,4,7,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
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[1,8,7,5,6,4,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,1,3,4,8,6,7,5]=>[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[2,1,3,5,8,6,7,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,1,3,8,5,6,7,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,1,3,8,5,7,6,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,1,3,8,6,5,7,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,1,3,8,6,7,5,4]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,1,4,3,8,6,7,5]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,8,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,4,8,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,4,8,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,4,8,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,6,4,5,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,6,4,5,7,8,3]=>[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[2,1,6,4,5,8,7,3]=>[2,1,8,5,4,7,6,3]=>[7,8,1,4,5,2,3,6]=>[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]
[2,1,8,4,5,6,7,3]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,8,4,5,7,6,3]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,7,4,6,5,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,1,8,4,6,5,7,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,4,6,7,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,4,7,6,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,7,5,4,6,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,1,8,5,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,8,5,4,7,6,3]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,7,5,6,4,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,1,8,5,6,4,7,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,5,6,7,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,5,7,6,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,6,5,4,7,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,6,5,7,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,7,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,3,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,3,1,7,5,6,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[2,3,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,3,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,3,4,1,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,3,4,7,5,6,1,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[2,3,4,7,5,6,8,1]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[2,3,4,8,5,6,7,1]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[2,3,4,8,5,7,6,1]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[2,3,4,8,6,5,7,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,3,4,8,6,7,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[2,3,5,4,8,6,7,1]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[2,3,6,4,5,1,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,3,7,4,5,6,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,3,8,4,5,6,7,1]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[2,3,7,4,6,5,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,3,8,4,6,7,5,1]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[2,3,7,5,4,6,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,3,8,5,4,6,7,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,3,7,5,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[2,3,8,5,6,4,7,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,8,5,6,7,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,8,5,7,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,8,6,5,4,7,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,4,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,4,3,8,6,5,7,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,4,3,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,5,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[2,5,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[2,5,3,4,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[2,5,3,4,6,7,8,1]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,5,3,4,6,8,7,1]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[2,5,3,4,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,5,3,4,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,5,3,4,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,6,3,4,5,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,6,3,4,5,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,6,3,4,5,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,7,3,4,5,6,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[2,8,3,4,5,6,7,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,8,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,6,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[2,6,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,6,3,5,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[2,6,3,5,4,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,7,3,5,4,6,8,1]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,7,3,5,6,4,8,1]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,8,3,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,3,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,8,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,8,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,5,4,3,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[2,6,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,6,4,3,5,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,6,4,3,5,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,7,4,3,5,6,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,8,4,3,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,8,4,3,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,7,4,3,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,8,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,8,4,3,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,8,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,6,4,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[2,6,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,6,4,5,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,6,4,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[2,8,4,5,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,4,5,6,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,5,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,4,5,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,4,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,4,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[2,7,4,6,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,4,6,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,4,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,5,4,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,7,5,4,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,5,4,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,5,4,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,7,6,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,8,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,5,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,1,4,8,6,7,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,2,1,5,8,6,7,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,1,7,5,6,4,8]=>[3,2,1,7,6,5,4,8]=>[6,7,8,2,3,4,5,1]=>[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]
[3,2,1,7,5,6,8,4]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[3,2,1,8,5,6,7,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,1,8,5,7,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,1,8,6,5,7,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,1,8,6,7,5,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,4,1,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,4,7,5,6,8,1]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[3,2,4,8,5,6,7,1]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[3,2,4,8,6,7,5,1]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,2,5,4,8,6,7,1]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[3,2,6,4,5,1,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,2,6,4,5,7,1,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[3,2,7,4,5,6,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,8,4,5,6,7,1]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,2,7,4,6,5,1,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[3,2,7,4,6,5,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,2,8,4,6,5,7,1]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[3,2,8,5,4,6,7,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,2,8,5,4,7,6,1]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,2,7,5,6,4,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,2,8,5,6,4,7,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,8,5,7,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,8,6,5,7,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,8,7,5,6,4,1]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,2,3,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[4,2,3,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[4,2,3,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[4,2,3,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[4,2,3,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,2,3,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,2,3,1,6,8,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,2,3,1,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[4,2,3,1,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,2,3,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,2,3,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,2,3,5,1,6,8,7]=>[5,3,2,4,1,6,8,7]=>[4,6,7,5,8,3,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[4,2,3,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,2,3,5,1,8,7,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,2,3,5,6,1,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[4,2,3,5,7,6,1,8]=>[7,3,2,4,6,5,1,8]=>[2,6,7,5,3,4,8,1]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[4,2,3,6,5,1,7,8]=>[6,3,2,5,4,1,7,8]=>[3,6,7,4,5,8,2,1]=>[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]
[4,2,3,6,5,1,8,7]=>[6,3,2,5,4,1,8,7]=>[3,6,7,4,5,8,1,2]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,2,3,6,5,8,7,1]=>[8,3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3,8]=>[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]
[4,2,3,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[4,2,3,8,7,6,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,2,3,4,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[5,2,3,4,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,2,3,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,2,3,4,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,2,3,4,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,2,3,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,2,3,4,5,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,2,3,4,5,7,6,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,2,3,4,6,5,1,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[8,2,3,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,2,3,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,2,3,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,2,3,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,2,3,5,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,2,3,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,2,3,5,4,6,7,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,2,3,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,2,3,5,6,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,2,3,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,3,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,2,3,6,5,4,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,2,3,6,5,4,7,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,3,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,2,3,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,4,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,2,4,3,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[5,2,4,3,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[5,2,4,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,2,4,3,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[5,2,4,3,6,7,1,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[5,2,4,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,2,4,3,8,7,6,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,2,4,3,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,2,4,3,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,2,4,3,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,2,4,3,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,4,3,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,4,3,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,2,4,5,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,2,4,5,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,2,4,5,3,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,2,4,5,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,5,3,6,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,4,5,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,4,5,6,3,7,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,5,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,5,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,4,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,4,7,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,7,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,5,4,3,1,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,2,5,4,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,2,5,4,3,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,2,5,4,3,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,2,5,4,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,2,5,4,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,2,5,4,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,2,5,4,6,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,5,4,7,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,6,4,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,4,5,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,6,4,5,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,4,5,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,4,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,4,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,6,5,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,6,5,4,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,2,6,5,4,3,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,5,4,7,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,5,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,5,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,7,6,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,2,1,8,6,7,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,8,6,7,5,1]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[5,3,2,4,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[5,3,2,4,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[5,3,2,4,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[8,3,2,4,6,5,7,1]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,3,2,4,6,7,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,3,2,4,7,6,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,3,2,5,4,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,3,2,5,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,3,2,5,4,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,3,2,5,4,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,3,2,5,4,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,3,2,5,4,6,1,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,3,2,5,4,7,6,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,3,2,5,6,4,8,1]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,2,5,6,4,7,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,5,6,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,5,7,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,6,5,7,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,7,5,6,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,7,6,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,4,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[5,3,4,2,1,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,3,4,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,3,4,2,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,3,4,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,3,4,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,3,4,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,3,4,2,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,4,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,3,4,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,3,4,5,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,3,4,5,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,4,5,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,4,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,3,4,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,5,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,3,5,4,2,7,1,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,3,5,4,2,7,8,1]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,3,5,4,2,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,3,5,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,3,5,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,5,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,4,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,5,4,6,7,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,4,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,6,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,4,5,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,6,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,5,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,6,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,5,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,3,2,8,6,7,1]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[6,4,3,2,5,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,4,3,2,5,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,4,3,2,5,7,6,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,4,3,2,6,5,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,4,3,2,6,5,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,3,2,6,5,7,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,3,2,6,7,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,4,3,2,7,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,4,3,5,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,4,3,5,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,3,5,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,3,6,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,5,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,4,3,7,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,4,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,5,3,4,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,3,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,4,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,5,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,6,3,5,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,5,4,7,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,5,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,5,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,6,5,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,3,2,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,4,3,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,3,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,1,3,6,5,8,7]=>[3,4,1,2,6,5,8,7]=>[6,5,8,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[[.,.],.]]
[2,1,4,6,3,5,8,7]=>[2,1,5,6,3,4,8,7]=>[7,8,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],[.,.]]
[2,4,1,6,3,5,8,7]=>[3,5,1,6,2,4,8,7]=>[6,4,8,3,7,5,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,4,6,1,3,5,8,7]=>[4,5,6,1,2,3,8,7]=>[5,4,3,8,7,6,1,2]=>[[[[.,[.,.]],.],.],[[[.,.],.],.]]
[2,1,4,3,6,8,5,7]=>[2,1,4,3,7,8,5,6]=>[7,8,5,6,2,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],[.,.]]
[2,4,1,3,6,8,5,7]=>[3,4,1,2,7,8,5,6]=>[6,5,8,7,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[[.,.],.]]
[2,1,4,6,3,8,5,7]=>[2,1,5,7,3,8,4,6]=>[7,8,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,4,1,6,3,8,5,7]=>[3,5,1,7,2,8,4,6]=>[6,4,8,2,7,1,5,3]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,4,6,1,3,8,5,7]=>[4,5,7,1,2,8,3,6]=>[5,4,2,8,7,1,6,3]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,1,4,6,8,3,5,7]=>[2,1,6,7,8,3,4,5]=>[7,8,3,2,1,6,5,4]=>[[[[.,.],.],[[[.,.],.],.]],[.,.]]
[2,4,1,6,8,3,5,7]=>[3,6,1,7,8,2,4,5]=>[6,3,8,2,1,7,5,4]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,4,6,1,8,3,5,7]=>[4,6,7,1,8,2,3,5]=>[5,3,2,8,1,7,6,4]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[2,4,6,8,1,3,5,7]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]
[2,4,1,3,6,5,7,8]=>[3,4,1,2,6,5,7,8]=>[6,5,8,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],[[.,.],.]]
[2,1,4,6,3,5,7,8]=>[2,1,5,6,3,4,7,8]=>[7,8,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],[.,.]]
[2,4,1,6,3,5,7,8]=>[3,5,1,6,2,4,7,8]=>[6,4,8,3,7,5,2,1]=>[[[[[.,.],.],.],[.,.]],[[.,.],.]]
[2,4,6,1,3,5,7,8]=>[4,5,6,1,2,3,7,8]=>[5,4,3,8,7,6,2,1]=>[[[[[.,.],.],.],.],[[[.,.],.],.]]
[2,1,4,6,3,7,5,8]=>[2,1,5,7,3,6,4,8]=>[7,8,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],[.,.]]
[2,4,6,1,3,7,5,8]=>[4,5,7,1,2,6,3,8]=>[5,4,2,8,7,3,6,1]=>[[[[.,.],[.,.]],.],[[[.,.],.],.]]
[2,1,4,6,7,3,5,8]=>[2,1,6,7,5,3,4,8]=>[7,8,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[2,4,6,7,1,3,5,8]=>[5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[2,4,1,3,6,7,8,5]=>[3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[2,1,4,6,3,7,8,5]=>[2,1,5,8,3,6,7,4]=>[7,8,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[2,4,1,6,3,7,8,5]=>[3,5,1,8,2,6,7,4]=>[6,4,8,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[2,4,6,1,3,7,8,5]=>[4,5,8,1,2,6,7,3]=>[5,4,1,8,7,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[2,1,4,6,7,3,8,5]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[2,4,1,6,7,3,8,5]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,4,6,1,7,3,8,5]=>[4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,4,6,7,1,3,8,5]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[2,1,4,6,7,8,3,5]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,4,1,6,7,8,3,5]=>[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,4,6,1,7,8,3,5]=>[4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,4,6,7,1,8,3,5]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[2,1,4,3,7,5,8,6]=>[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[2,4,1,3,7,5,8,6]=>[3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[2,1,4,7,3,5,8,6]=>[2,1,5,8,3,6,7,4]=>[7,8,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[2,4,1,7,3,5,8,6]=>[3,5,1,8,2,6,7,4]=>[6,4,8,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[2,4,7,1,3,5,8,6]=>[4,5,8,1,2,6,7,3]=>[5,4,1,8,7,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[2,1,4,3,7,8,5,6]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,4,1,3,7,8,5,6]=>[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[2,4,1,7,3,8,5,6]=>[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[2,4,7,1,3,8,5,6]=>[4,5,8,1,2,7,6,3]=>[5,4,1,8,7,2,3,6]=>[[[.,[.,[.,.]]],.],[[[.,.],.],.]]
[2,1,4,7,8,3,5,6]=>[2,1,6,8,7,3,5,4]=>[7,8,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]
[2,4,1,7,8,3,5,6]=>[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,4,7,1,8,3,5,6]=>[4,6,8,1,7,2,5,3]=>[5,3,1,8,2,7,4,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,4,7,8,1,3,5,6]=>[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[2,4,1,5,3,7,6,8]=>[3,5,1,4,2,7,6,8]=>[6,4,8,5,7,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[[.,.],.]]
[2,4,5,1,7,3,6,8]=>[4,6,3,1,7,2,5,8]=>[5,3,6,8,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[2,4,1,3,5,7,8,6]=>[3,4,1,2,5,8,7,6]=>[6,5,8,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[[.,.],.]]
[2,4,1,5,3,7,8,6]=>[3,5,1,4,2,8,7,6]=>[6,4,8,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[2,4,5,1,7,3,8,6]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,4,5,7,1,3,8,6]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,4,5,1,7,8,3,6]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[2,4,5,7,1,8,3,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,4,5,7,8,1,3,6]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[2,4,1,3,8,5,6,7]=>[3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[2,1,4,8,3,5,6,7]=>[2,1,5,8,3,6,7,4]=>[7,8,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[2,4,1,8,3,5,6,7]=>[3,5,1,8,2,6,7,4]=>[6,4,8,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[[.,.],.]]
[2,4,8,1,3,5,6,7]=>[4,5,8,1,2,6,7,3]=>[5,4,1,8,7,3,2,6]=>[[[.,[[.,.],.]],.],[[[.,.],.],.]]
[2,1,4,3,5,8,6,7]=>[2,1,4,3,5,8,7,6]=>[7,8,5,6,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]
[2,4,1,5,3,8,6,7]=>[3,5,1,4,2,8,7,6]=>[6,4,8,5,7,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[2,4,5,1,8,3,6,7]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,4,5,8,1,3,6,7]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,4,1,5,3,6,8,7]=>[3,5,1,4,2,6,8,7]=>[6,4,8,5,7,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[[.,.],.]]
[2,4,1,5,6,3,8,7]=>[3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[2,4,5,1,6,3,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,4,5,6,1,3,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,1,4,5,6,8,3,7]=>[2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,4,1,5,6,8,3,7]=>[3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[2,4,5,1,6,8,3,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,4,5,6,1,8,3,7]=>[5,7,3,4,1,8,2,6]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,4,5,6,8,1,3,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,4,1,3,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[6,5,8,7,4,3,2,1]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]
[2,4,1,5,6,3,7,8]=>[3,6,1,4,5,2,7,8]=>[6,3,8,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,4,5,1,6,3,7,8]=>[4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[2,4,5,6,1,3,7,8]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[2,4,5,1,6,7,3,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,4,5,6,1,7,3,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,4,5,6,7,1,3,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[2,4,5,1,6,7,8,3]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[2,4,5,6,1,7,8,3]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[2,4,5,6,7,1,8,3]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,4,5,6,7,8,1,3]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[2,1,5,3,6,4,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,5,1,3,6,4,8,7]=>[3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[2,1,5,6,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,5,1,6,3,4,8,7]=>[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,5,6,1,3,4,8,7]=>[4,6,5,1,3,2,8,7]=>[5,3,4,8,6,7,1,2]=>[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]
[2,1,5,3,6,8,4,7]=>[2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,5,1,3,6,8,4,7]=>[3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[2,5,1,6,3,8,4,7]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,5,6,1,3,8,4,7]=>[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,1,5,6,8,3,4,7]=>[2,1,7,6,8,4,3,5]=>[7,8,2,3,1,5,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]
[2,5,1,6,8,3,4,7]=>[3,7,1,6,8,4,2,5]=>[6,2,8,3,1,5,7,4]=>[[[.,.],[.,[[.,.],.]]],[[.,.],.]]
[2,5,6,8,1,3,4,7]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[2,5,1,3,6,4,7,8]=>[3,6,1,4,5,2,7,8]=>[6,3,8,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,5,6,3,4,7,8]=>[2,1,6,5,4,3,7,8]=>[7,8,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]
[2,5,1,6,3,4,7,8]=>[3,6,1,5,4,2,7,8]=>[6,3,8,4,5,7,2,1]=>[[[[.,.],.],[.,[.,.]]],[[.,.],.]]
[2,1,5,3,6,7,4,8]=>[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,5,1,6,3,7,4,8]=>[3,7,1,5,4,6,2,8]=>[6,2,8,4,5,3,7,1]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,1,5,6,7,3,4,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[2,5,6,1,7,3,4,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[2,1,5,6,3,7,8,4]=>[2,1,8,5,4,6,7,3]=>[7,8,1,4,5,3,2,6]=>[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]
[2,5,1,6,3,7,8,4]=>[3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[2,5,6,1,3,7,8,4]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[2,1,5,6,7,3,8,4]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,5,1,6,7,3,8,4]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,5,6,7,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,1,5,6,7,8,3,4]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,5,1,6,7,8,3,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,5,6,7,1,8,3,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,1,5,7,3,4,8,6]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[2,5,1,7,3,4,8,6]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,5,7,1,3,4,8,6]=>[4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,5,1,3,7,8,4,6]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[2,1,5,7,3,8,4,6]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,5,1,7,3,8,4,6]=>[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,5,7,1,3,8,4,6]=>[4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,1,5,7,8,3,4,6]=>[2,1,7,8,6,5,3,4]=>[7,8,2,1,3,4,6,5]=>[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]
[2,5,1,7,8,3,4,6]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[2,5,7,1,8,3,4,6]=>[4,7,8,1,6,5,2,3]=>[5,2,1,8,3,4,7,6]=>[[[.,.],[.,[.,.]]],[[[.,.],.],.]]
[2,5,7,8,1,3,4,6]=>[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[2,5,1,3,7,4,6,8]=>[3,6,1,4,7,2,5,8]=>[6,3,8,5,2,7,4,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,5,7,3,4,6,8]=>[2,1,6,7,5,3,4,8]=>[7,8,3,2,4,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],[.,.]]
[2,3,5,7,1,4,6,8]=>[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,5,1,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,3,5,7,1,4,8,6]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,3,5,7,1,8,4,6]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,3,5,7,8,1,4,6]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[2,1,5,8,3,4,6,7]=>[2,1,6,8,5,3,7,4]=>[7,8,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]
[2,5,1,8,3,4,6,7]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,5,8,1,3,4,6,7]=>[4,6,8,1,5,2,7,3]=>[5,3,1,8,4,7,2,6]=>[[[.,[.,.]],[.,.]],[[[.,.],.],.]]
[2,1,3,5,8,4,6,7]=>[2,1,3,6,8,4,7,5]=>[7,8,6,3,1,5,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],[.,.]]
[2,3,5,1,8,4,6,7]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,3,5,8,1,4,6,7]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[2,1,5,3,4,6,8,7]=>[2,1,5,4,3,6,8,7]=>[7,8,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]
[2,3,5,1,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,1,3,5,6,8,4,7]=>[2,1,3,7,5,8,4,6]=>[7,8,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[2,3,5,1,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,3,5,6,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,3,5,6,8,1,4,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,3,5,1,4,6,7,8]=>[4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[2,3,5,1,6,4,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,3,5,6,1,4,7,8]=>[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[2,3,5,6,1,7,4,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,3,5,6,7,1,4,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[2,3,5,1,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,3,5,6,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[2,3,5,6,7,1,8,4]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,3,5,6,7,8,1,4]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[2,1,6,7,3,4,8,5]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,6,1,7,3,4,8,5]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,6,7,1,3,4,8,5]=>[4,8,6,1,5,3,7,2]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,6,1,3,7,8,4,5]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[2,1,6,7,3,8,4,5]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,6,1,7,3,8,4,5]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,1,6,7,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,6,1,7,8,3,4,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,6,7,1,8,3,4,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,6,7,8,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,6,7,1,3,4,5,8]=>[4,7,6,1,5,3,2,8]=>[5,2,3,8,4,6,7,1]=>[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]
[2,3,1,6,4,7,5,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[2,3,6,1,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,3,6,7,1,4,5,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,3,6,1,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,1,3,6,7,8,4,5]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,3,1,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,3,6,1,7,8,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,3,6,7,1,8,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,6,7,8,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,6,1,3,8,4,5,7]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[2,1,6,8,3,4,5,7]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,6,1,8,3,4,5,7]=>[3,7,1,8,5,6,2,4]=>[6,2,8,1,4,3,7,5]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,6,8,1,3,4,5,7]=>[4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[2,1,6,3,4,8,5,7]=>[2,1,7,4,5,8,3,6]=>[7,8,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,6,1,3,4,8,5,7]=>[3,7,1,4,5,8,2,6]=>[6,2,8,5,4,1,7,3]=>[[[.,.],[[[.,.],.],.]],[[.,.],.]]
[2,1,3,6,4,8,5,7]=>[2,1,3,7,5,8,4,6]=>[7,8,6,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],.],[.,.]]
[2,3,6,1,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,3,6,1,8,4,5,7]=>[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,3,6,8,1,4,5,7]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,1,6,3,4,5,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[2,6,1,3,4,5,8,7]=>[3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[2,1,3,6,4,5,8,7]=>[2,1,3,6,5,4,8,7]=>[7,8,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]
[2,3,6,1,4,5,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[2,3,4,1,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[5,7,6,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,3,4,6,1,8,5,7]=>[5,2,3,7,1,8,4,6]=>[4,7,6,2,8,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,3,4,6,8,1,5,7]=>[6,2,3,7,8,1,4,5]=>[3,7,6,2,1,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[2,6,1,3,4,5,7,8]=>[3,6,1,4,5,2,7,8]=>[6,3,8,5,4,7,2,1]=>[[[[.,.],.],[[.,.],.]],[[.,.],.]]
[2,1,3,6,4,5,7,8]=>[2,1,3,6,5,4,7,8]=>[7,8,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],[.,.]]
[2,3,1,6,4,5,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[2,3,6,1,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[2,3,4,6,1,5,7,8]=>[5,2,3,6,1,4,7,8]=>[4,7,6,3,8,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[2,3,4,6,1,7,5,8]=>[5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,3,4,6,7,1,5,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[2,3,4,6,1,7,8,5]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,3,4,6,7,8,1,5]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[2,7,1,3,8,4,5,6]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[2,1,7,8,3,4,5,6]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,7,1,8,3,4,5,6]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,1,7,3,4,8,5,6]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[2,1,3,7,4,8,5,6]=>[2,1,3,8,5,7,6,4]=>[7,8,6,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]
[2,3,1,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[2,1,3,7,8,4,5,6]=>[2,1,3,8,7,6,5,4]=>[7,8,6,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]
[2,3,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[2,3,7,8,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,1,7,4,5,8,6]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,3,7,1,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,3,4,1,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,3,4,7,1,5,8,6]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,1,3,4,7,8,5,6]=>[2,1,3,4,8,7,6,5]=>[7,8,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]
[2,3,1,4,7,8,5,6]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[2,3,4,1,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,3,4,7,1,8,5,6]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,4,7,8,1,5,6]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,1,7,3,4,5,6,8]=>[2,1,7,4,5,6,3,8]=>[7,8,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],[.,.]]
[2,3,7,1,4,5,6,8]=>[4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[2,3,1,4,7,5,6,8]=>[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[2,3,4,1,7,5,6,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,3,4,7,1,5,6,8]=>[5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[2,3,4,5,7,1,8,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[2,3,4,5,7,8,1,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,1,3,8,4,5,6,7]=>[2,1,3,8,5,6,7,4]=>[7,8,6,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],.],[.,.]]
[2,3,1,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[2,3,8,1,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[2,3,1,4,8,5,6,7]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[2,3,4,1,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,3,4,8,1,5,6,7]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,8,7,6]=>[7,8,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],[.,.]]
[2,3,1,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[2,3,4,1,5,8,6,7]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[2,3,4,5,1,8,6,7]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,4,5,8,1,6,7]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,1,4,2,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,4,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[3,1,4,6,2,5,8,7]=>[5,2,3,6,1,4,8,7]=>[4,7,6,3,8,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[3,4,1,6,2,5,8,7]=>[5,3,2,6,1,4,8,7]=>[4,6,7,3,8,5,1,2]=>[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]
[3,4,6,1,2,5,8,7]=>[5,4,6,2,1,3,8,7]=>[4,5,3,7,8,6,1,2]=>[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]
[3,1,4,2,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[5,7,6,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,4,1,2,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[3,1,4,6,2,8,5,7]=>[5,2,3,7,1,8,4,6]=>[4,7,6,2,8,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,4,1,6,2,8,5,7]=>[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,1,4,6,8,2,5,7]=>[6,2,3,7,8,1,4,5]=>[3,7,6,2,1,8,5,4]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[3,4,1,6,8,2,5,7]=>[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,4,6,8,1,2,5,7]=>[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[3,1,4,2,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,4,1,2,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[5,6,7,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]
[3,1,4,2,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,2,6,7,5,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[3,4,1,6,2,7,5,8]=>[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,4,6,7,1,2,5,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[3,1,4,2,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,4,1,2,6,7,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,1,4,6,2,7,8,5]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[3,4,1,6,2,7,8,5]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,1,4,6,7,2,8,5]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,4,1,6,7,2,8,5]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[3,4,6,1,7,2,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,4,6,7,1,2,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,1,4,6,7,8,2,5]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[3,4,1,6,7,8,2,5]=>[7,3,2,8,5,6,1,4]=>[2,6,7,1,4,3,8,5]=>[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]
[3,4,6,1,7,8,2,5]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[3,4,6,7,1,8,2,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,1,4,2,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,4,1,2,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,1,4,7,2,5,8,6]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[3,4,1,7,2,5,8,6]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,1,4,2,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,4,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,1,4,7,2,8,5,6]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,4,7,1,8,2,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[3,4,7,8,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[3,1,4,2,7,5,6,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,4,1,2,7,5,6,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[3,4,1,2,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[5,6,7,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]
[3,1,4,5,2,7,6,8]=>[5,2,3,4,1,7,6,8]=>[4,7,6,5,8,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,4,1,5,2,7,6,8]=>[5,3,2,4,1,7,6,8]=>[4,6,7,5,8,2,3,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[3,4,1,5,7,2,6,8]=>[6,3,2,4,7,1,5,8]=>[3,6,7,5,2,8,4,1]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[3,4,5,1,7,2,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,4,5,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[3,1,4,2,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[3,4,1,2,5,7,8,6]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,1,4,5,2,7,8,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,4,5,1,2,7,8,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,1,4,5,7,2,8,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,4,5,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,4,5,7,8,2,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,4,1,5,7,8,2,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[3,4,5,1,7,8,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,4,5,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,5,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,1,4,2,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,4,1,2,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,1,4,8,2,5,6,7]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[3,4,1,8,2,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[3,1,4,2,5,8,6,7]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[3,4,1,2,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[3,4,1,5,2,8,6,7]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[3,4,5,1,2,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[3,1,4,5,8,2,6,7]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[3,4,5,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,4,1,2,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[5,6,7,8,4,3,1,2]=>[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]
[3,4,5,1,2,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[3,4,1,5,6,2,8,7]=>[6,3,2,4,5,1,8,7]=>[3,6,7,5,4,8,1,2]=>[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]
[3,4,5,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,4,5,6,1,8,2,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,4,5,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[3,1,4,2,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[5,7,6,8,4,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[3,1,4,5,2,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[3,4,1,5,2,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,6,7,5,8,3,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[3,1,4,5,6,2,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[3,4,5,1,6,2,7,8]=>[6,4,3,2,5,1,7,8]=>[3,5,6,7,4,8,2,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[3,1,4,5,6,7,2,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[3,4,5,1,6,7,2,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[3,4,5,6,1,7,2,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,1,4,5,6,7,8,2]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[3,4,1,5,6,7,8,2]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[3,4,5,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[3,4,5,6,1,7,8,2]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[3,4,5,6,7,1,8,2]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[3,1,5,2,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,5,1,2,6,4,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,5,1,6,2,4,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[3,5,6,1,2,4,8,7]=>[5,6,4,3,1,2,8,7]=>[4,3,5,6,8,7,1,2]=>[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]
[3,1,5,2,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,5,1,2,6,8,4,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,1,5,6,2,8,4,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,5,6,1,2,8,4,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[3,1,5,6,8,2,4,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[3,5,1,6,8,2,4,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,5,6,1,8,2,4,7]=>[6,7,4,3,8,1,2,5]=>[3,2,5,6,1,8,7,4]=>[[[.,.],.],[[.,.],[.,[[.,.],.]]]]
[3,5,6,8,1,2,4,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[3,1,5,6,2,4,7,8]=>[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[3,5,1,6,2,4,7,8]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,5,6,1,2,4,7,8]=>[5,6,4,3,1,2,7,8]=>[4,3,5,6,8,7,2,1]=>[[[[.,.],.],.],[.,[.,[[.,.],.]]]]
[3,5,1,2,6,7,4,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,5,1,6,2,7,4,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,5,1,6,7,2,4,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[3,5,6,7,1,2,4,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,1,5,2,6,7,8,4]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,5,1,2,6,7,8,4]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[3,1,5,6,2,7,8,4]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[3,5,1,6,2,7,8,4]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,1,5,6,7,2,8,4]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,5,1,6,7,2,8,4]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,5,6,7,1,2,8,4]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,1,5,6,7,8,2,4]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[3,5,1,6,7,8,2,4]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[3,5,6,1,7,8,2,4]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[3,5,6,7,1,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,5,6,7,8,1,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,1,5,2,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,5,1,2,7,4,8,6]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,1,5,7,2,4,8,6]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[3,5,1,7,2,4,8,6]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[3,5,7,1,2,4,8,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[3,1,5,2,7,8,4,6]=>[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,5,1,2,7,8,4,6]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[3,1,5,7,2,8,4,6]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,5,1,7,2,8,4,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,5,7,1,2,8,4,6]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[3,1,5,7,8,2,4,6]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[3,5,1,7,8,2,4,6]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[3,5,7,8,1,2,4,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[3,1,5,2,7,4,6,8]=>[4,2,6,1,7,3,5,8]=>[5,7,3,8,2,6,4,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,5,1,2,7,4,6,8]=>[4,6,3,1,7,2,5,8]=>[5,3,6,8,2,7,4,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[3,1,5,7,2,4,6,8]=>[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[3,5,1,7,2,4,6,8]=>[5,6,3,7,1,2,4,8]=>[4,3,6,2,8,7,5,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[3,5,7,1,2,4,6,8]=>[5,6,7,4,1,2,3,8]=>[4,3,2,5,8,7,6,1]=>[[[[.,.],.],.],[.,[[[.,.],.],.]]]
[3,1,2,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[6,7,8,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]
[3,1,2,5,7,4,6,8]=>[3,2,1,6,7,4,5,8]=>[6,7,8,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],[.,[.,.]]]
[1,3,5,2,7,4,6,8]=>[1,4,6,2,7,3,5,8]=>[8,5,3,7,2,6,4,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,3,5,7,2,4,6,8]=>[1,5,6,7,2,3,4,8]=>[8,4,3,2,7,6,5,1]=>[[[[[.,.],.],.],[[[.,.],.],.]],.]
[1,3,5,2,4,7,8,6]=>[1,4,5,2,3,8,7,6]=>[8,5,4,7,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[1,3,5,2,7,4,8,6]=>[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[1,3,5,7,2,4,8,6]=>[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[1,3,2,5,7,8,4,6]=>[1,3,2,7,8,6,4,5]=>[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[1,3,5,2,7,8,4,6]=>[1,4,7,2,8,6,3,5]=>[8,5,2,7,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[1,3,5,7,2,8,4,6]=>[1,5,7,8,2,6,3,4]=>[8,4,2,1,7,3,6,5]=>[[[[.,.],[.,.]],[[[.,.],.],.]],.]
[1,3,5,7,8,2,4,6]=>[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[3,1,5,2,8,4,6,7]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,5,1,2,8,4,6,7]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,1,5,8,2,4,6,7]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[3,5,1,8,2,4,6,7]=>[5,6,3,8,1,2,7,4]=>[4,3,6,1,8,7,2,5]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[1,3,2,5,4,8,6,7]=>[1,3,2,5,4,8,7,6]=>[8,6,7,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]
[1,3,5,2,4,8,6,7]=>[1,4,5,2,3,8,7,6]=>[8,5,4,7,6,1,2,3]=>[[[[.,[.,[.,.]]],.],[[.,.],.]],.]
[1,3,5,2,8,4,6,7]=>[1,4,6,2,8,3,7,5]=>[8,5,3,7,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[[.,.],.]],.]
[1,3,5,8,2,4,6,7]=>[1,5,6,8,2,3,7,4]=>[8,4,3,1,7,6,2,5]=>[[[[.,[.,.]],.],[[[.,.],.],.]],.]
[3,1,5,2,4,6,8,7]=>[4,2,5,1,3,6,8,7]=>[5,7,4,8,6,3,1,2]=>[[[[.,[.,.]],.],.],[[.,.],[.,.]]]
[3,5,1,2,4,6,8,7]=>[4,5,3,1,2,6,8,7]=>[5,4,6,8,7,3,1,2]=>[[[[.,[.,.]],.],.],[.,[[.,.],.]]]
[3,1,2,5,4,6,8,7]=>[3,2,1,5,4,6,8,7]=>[6,7,8,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]
[1,3,5,2,4,6,8,7]=>[1,4,5,2,3,6,8,7]=>[8,5,4,7,6,3,1,2]=>[[[[[.,[.,.]],.],.],[[.,.],.]],.]
[1,3,5,2,6,8,4,7]=>[1,4,7,2,5,8,3,6]=>[8,5,2,7,4,1,6,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[1,3,5,6,2,8,4,7]=>[1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[1,3,5,6,8,2,4,7]=>[1,6,7,4,8,2,3,5]=>[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[3,1,5,2,4,6,7,8]=>[4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[1,3,5,2,4,6,7,8]=>[1,4,5,2,3,6,7,8]=>[8,5,4,7,6,3,2,1]=>[[[[[[.,.],.],.],.],[[.,.],.]],.]
[3,1,2,5,6,4,7,8]=>[3,2,1,6,5,4,7,8]=>[6,7,8,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]
[1,3,5,2,6,4,7,8]=>[1,4,6,2,5,3,7,8]=>[8,5,3,7,4,6,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,3,5,6,2,4,7,8]=>[1,5,6,4,2,3,7,8]=>[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[3,1,2,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,5,6,2,7,4,8]=>[1,5,7,4,2,6,3,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[1,3,5,6,7,2,4,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[3,1,2,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,3,5,6,2,7,8,4]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[1,3,5,6,7,2,8,4]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,3,5,6,7,8,2,4]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[3,6,1,2,7,4,8,5]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[3,6,1,7,2,4,8,5]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[3,6,7,1,2,4,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[3,1,6,7,2,8,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,6,1,7,2,8,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,6,7,1,2,8,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,6,1,7,8,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,6,7,8,1,2,4,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[3,1,6,2,7,4,5,8]=>[4,2,7,1,6,5,3,8]=>[5,7,2,8,3,4,6,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,1,6,7,2,4,5,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,1,6,2,4,7,5,8]=>[4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,6,1,2,4,7,5,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,1,2,6,4,7,5,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[1,3,2,6,7,4,5,8]=>[1,3,2,7,6,5,4,8]=>[8,6,7,2,3,4,5,1]=>[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]
[1,3,6,2,7,4,5,8]=>[1,4,7,2,6,5,3,8]=>[8,5,2,7,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[[.,.],.]],.]
[3,1,6,2,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,6,1,2,4,7,8,5]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[3,1,2,6,4,7,8,5]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,3,2,6,4,7,8,5]=>[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[3,1,2,6,7,4,8,5]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[1,3,2,6,7,4,8,5]=>[1,3,2,8,6,5,7,4]=>[8,6,7,1,3,4,2,5]=>[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]
[1,3,6,7,2,4,8,5]=>[1,5,8,6,2,4,7,3]=>[8,4,1,3,7,5,2,6]=>[[[.,[[.,.],.]],[[.,[.,.]],.]],.]
[3,1,2,6,7,8,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,3,2,6,7,8,4,5]=>[1,3,2,8,7,6,5,4]=>[8,6,7,1,2,3,4,5]=>[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]
[1,3,6,2,7,8,4,5]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,3,6,7,8,2,4,5]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[3,1,6,2,8,4,5,7]=>[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,6,1,2,8,4,5,7]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[3,1,6,8,2,4,5,7]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[3,6,1,8,2,4,5,7]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,6,8,1,2,4,5,7]=>[5,7,8,4,1,6,2,3]=>[4,2,1,5,8,3,7,6]=>[[[.,.],[.,.]],[.,[[[.,.],.],.]]]
[3,1,6,2,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,6,1,2,4,8,5,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[1,3,2,6,4,8,5,7]=>[1,3,2,7,5,8,4,6]=>[8,6,7,2,4,1,5,3]=>[[[[.,.],[[.,.],[.,.]]],[.,.]],.]
[1,3,6,2,4,8,5,7]=>[1,4,7,2,5,8,3,6]=>[8,5,2,7,4,1,6,3]=>[[[[.,.],[[.,.],.]],[[.,.],.]],.]
[1,3,2,6,8,4,5,7]=>[1,3,2,7,8,6,4,5]=>[8,6,7,2,1,3,5,4]=>[[[[.,.],[.,[[.,.],.]]],[.,.]],.]
[3,1,6,2,4,5,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,6,1,2,4,5,8,7]=>[4,6,3,1,5,2,8,7]=>[5,3,6,8,4,7,1,2]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[3,1,2,4,6,5,8,7]=>[3,2,1,4,6,5,8,7]=>[6,7,8,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]
[1,3,4,6,2,5,8,7]=>[1,5,3,6,2,4,8,7]=>[8,4,6,3,7,5,1,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[3,1,2,4,6,8,5,7]=>[3,2,1,4,7,8,5,6]=>[6,7,8,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],[.,[.,.]]]
[1,3,2,4,6,8,5,7]=>[1,3,2,4,7,8,5,6]=>[8,6,7,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],[.,.]],.]
[1,3,4,6,8,2,5,7]=>[1,6,3,7,8,2,4,5]=>[8,3,6,2,1,7,5,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[3,1,6,2,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[3,6,1,2,4,5,7,8]=>[4,6,3,1,5,2,7,8]=>[5,3,6,8,4,7,2,1]=>[[[[.,.],.],[.,.]],[.,[[.,.],.]]]
[1,3,2,6,4,5,7,8]=>[1,3,2,6,5,4,7,8]=>[8,6,7,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],[.,.]],.]
[1,3,6,2,4,5,7,8]=>[1,4,6,2,5,3,7,8]=>[8,5,3,7,4,6,2,1]=>[[[[[.,.],.],[.,.]],[[.,.],.]],.]
[1,3,4,6,2,5,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[3,1,2,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,3,4,6,2,7,5,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,3,4,6,7,2,5,8]=>[1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[3,1,2,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,3,4,6,7,2,8,5]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,3,4,6,7,8,2,5]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[3,1,7,2,8,4,5,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,7,8,2,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,7,1,8,2,4,5,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,7,8,1,2,4,5,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,7,1,2,4,8,5,6]=>[4,8,3,1,5,7,6,2]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[3,1,2,7,4,8,5,6]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[1,3,2,7,4,8,5,6]=>[1,3,2,8,5,7,6,4]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[3,1,2,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,3,7,2,8,4,5,6]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[1,3,7,8,2,4,5,6]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,1,7,2,4,5,8,6]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,7,1,2,4,5,8,6]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[3,1,2,4,7,5,8,6]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,3,2,4,7,5,8,6]=>[1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[1,3,4,2,7,5,8,6]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,3,4,7,2,5,8,6]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[3,1,2,4,7,8,5,6]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,7,6,5]=>[8,6,7,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]
[1,3,4,2,7,8,5,6]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,3,4,7,8,2,5,6]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[3,1,7,2,4,5,6,8]=>[4,2,7,1,5,6,3,8]=>[5,7,2,8,4,3,6,1]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,7,1,2,4,5,6,8]=>[4,7,3,1,5,6,2,8]=>[5,2,6,8,4,3,7,1]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[3,1,2,7,4,5,6,8]=>[3,2,1,7,5,6,4,8]=>[6,7,8,2,4,3,5,1]=>[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]
[3,1,2,4,7,5,6,8]=>[3,2,1,4,7,6,5,8]=>[6,7,8,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]
[1,3,4,7,2,5,6,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[3,1,2,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[1,3,4,5,7,2,8,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,3,4,5,7,8,2,6]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[3,1,8,2,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[3,8,1,2,4,5,6,7]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[3,1,2,8,4,5,6,7]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,3,2,8,4,5,6,7]=>[1,3,2,8,5,6,7,4]=>[8,6,7,1,4,3,2,5]=>[[[.,[[[.,.],.],[.,.]]],[.,.]],.]
[3,1,2,4,8,5,6,7]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,6,7,5]=>[8,6,7,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],[.,.]],.]
[1,3,4,2,8,5,6,7]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,3,4,8,2,5,6,7]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[3,1,2,4,5,8,6,7]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]
[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,4,5,8,2,6,7]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[3,1,2,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[6,7,8,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],[.,[.,.]]]
[4,1,5,2,6,3,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,5,6,2,3,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,5,1,6,2,3,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,5,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,1,5,6,2,8,3,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,1,6,2,8,3,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,6,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,5,6,8,2,3,7]=>[7,2,6,4,8,3,1,5]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,8,2,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,6,1,8,2,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,1,6,2,3,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,5,1,2,6,7,3,8]=>[7,4,3,2,5,6,1,8]=>[2,5,6,7,4,3,8,1]=>[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]
[4,5,1,6,2,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,6,1,2,7,3,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,5,6,7,2,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,7,2,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[4,5,6,1,7,2,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,1,5,2,6,7,8,3]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[4,5,1,2,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,5,1,6,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,5,6,1,2,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[4,1,5,6,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,5,1,6,7,2,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,5,6,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,5,6,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,1,5,6,7,8,2,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,5,1,6,7,8,2,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[4,5,6,1,7,8,2,3]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,5,6,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,1,2,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,5,1,7,2,3,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,5,7,1,2,3,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,5,1,2,7,8,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,1,5,7,2,8,3,6]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[4,5,1,7,2,8,3,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,7,1,2,8,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,1,7,8,2,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,7,8,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,5,1,2,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,1,5,7,2,3,6,8]=>[6,2,5,7,3,1,4,8]=>[3,7,4,2,6,8,5,1]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[4,5,1,7,2,3,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,1,5,2,3,7,6,8]=>[5,2,4,3,1,7,6,8]=>[4,7,5,6,8,2,3,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,5,1,2,3,7,6,8]=>[5,4,3,2,1,7,6,8]=>[4,5,6,7,8,2,3,1]=>[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]
[4,1,2,5,3,7,6,8]=>[5,2,3,4,1,7,6,8]=>[4,7,6,5,8,2,3,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,4,2,5,3,7,6,8]=>[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,4,5,2,3,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,4,5,6,7,2,3,1]=>[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]
[4,1,5,2,3,7,8,6]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,1,2,5,3,7,8,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,4,2,5,3,7,8,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,4,5,2,3,7,8,6]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,1,2,5,7,3,8,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[1,4,2,5,7,3,8,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,4,5,2,7,3,8,6]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,4,5,7,2,3,8,6]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,1,2,5,7,8,3,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,4,2,5,7,8,3,6]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[4,5,1,2,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,5,1,8,2,3,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,5,8,1,2,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,1,5,2,3,8,6,7]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,1,2,3,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,1,2,5,3,8,6,7]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,4,2,5,3,8,6,7]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,4,5,2,3,8,6,7]=>[1,5,4,3,2,8,7,6]=>[8,4,5,6,7,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]
[4,1,2,5,8,3,6,7]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[1,4,2,5,8,3,6,7]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,4,5,2,8,3,6,7]=>[1,6,4,3,8,2,7,5]=>[8,3,5,6,1,7,2,4]=>[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]
[1,4,5,8,2,3,6,7]=>[1,6,5,8,3,2,7,4]=>[8,3,4,1,6,7,2,5]=>[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]
[4,5,1,2,3,6,8,7]=>[5,4,3,2,1,6,8,7]=>[4,5,6,7,8,3,1,2]=>[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]
[1,4,5,6,2,3,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,4,5,6,8,2,3,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[4,1,5,2,3,6,7,8]=>[5,2,4,3,1,6,7,8]=>[4,7,5,6,8,3,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[4,1,2,5,3,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,7,6,5,8,3,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,4,5,2,3,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[[[[[.,.],.],.],[.,[.,[.,.]]]],.]
[4,1,2,5,6,3,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[1,4,5,2,6,3,7,8]=>[1,6,4,3,5,2,7,8]=>[8,3,5,6,4,7,2,1]=>[[[[.,.],.],[[.,.],[.,[.,.]]]],.]
[1,4,5,6,2,3,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[4,1,2,5,6,7,3,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,4,2,5,6,7,3,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,4,5,6,7,2,3,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[4,1,2,5,6,7,8,3]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,4,2,5,6,7,8,3]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,4,5,2,6,7,8,3]=>[1,8,4,3,5,6,7,2]=>[8,1,5,6,4,3,2,7]=>[[.,[[[[.,.],.],.],[.,[.,.]]]],.]
[1,4,5,6,2,7,8,3]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[1,4,5,6,7,2,8,3]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,4,5,6,7,8,2,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[4,1,6,2,7,3,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,6,1,7,2,3,8,5]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,6,7,1,2,3,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[4,6,1,2,7,8,3,5]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[4,1,6,7,2,8,3,5]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,6,1,7,2,8,3,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[4,6,7,1,2,8,3,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,1,6,7,8,2,3,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,6,1,7,8,2,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,7,1,8,2,3,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,6,7,8,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,1,6,2,7,3,5,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,6,1,2,7,3,5,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[4,6,7,1,2,3,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[4,1,6,2,3,7,5,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,6,1,2,3,7,5,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,1,2,6,3,7,5,8]=>[5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,4,2,6,3,7,5,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[4,1,2,6,7,3,5,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,4,2,6,7,3,5,8]=>[1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,4,6,2,7,3,5,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[4,1,6,2,3,7,8,5]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[4,1,2,6,3,7,8,5]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[1,4,6,2,3,7,8,5]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[4,1,2,6,7,3,8,5]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,4,6,2,7,3,8,5]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,4,6,7,2,3,8,5]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[1,4,2,6,7,8,3,5]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,4,6,2,7,8,3,5]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[1,4,6,7,8,2,3,5]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[4,1,6,2,8,3,5,7]=>[6,2,7,4,8,1,3,5]=>[3,7,2,5,1,8,6,4]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[4,6,1,2,8,3,5,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[4,1,6,8,2,3,5,7]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[4,6,1,8,2,3,5,7]=>[6,7,3,8,5,1,2,4]=>[3,2,6,1,4,8,7,5]=>[[[.,.],.],[[.,[.,.]],[[.,.],.]]]
[4,1,6,2,3,8,5,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,6,1,2,3,8,5,7]=>[5,7,3,4,1,8,2,6]=>[4,2,6,5,8,1,7,3]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,1,2,6,3,8,5,7]=>[5,2,3,7,1,8,4,6]=>[4,7,6,2,8,1,5,3]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,4,6,2,3,8,5,7]=>[1,5,7,4,2,8,3,6]=>[8,4,2,5,7,1,6,3]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[1,4,2,6,8,3,5,7]=>[1,6,3,7,8,2,4,5]=>[8,3,6,2,1,7,5,4]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,4,6,2,8,3,5,7]=>[1,6,7,4,8,2,3,5]=>[8,3,2,5,1,7,6,4]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,4,6,8,2,3,5,7]=>[1,6,7,8,5,2,3,4]=>[8,3,2,1,4,7,6,5]=>[[[[.,.],.],[.,[[[.,.],.],.]]],.]
[4,6,1,2,3,5,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[4,1,2,6,3,5,8,7]=>[5,2,3,6,1,4,8,7]=>[4,7,6,3,8,5,1,2]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[1,4,2,6,3,5,8,7]=>[1,5,3,6,2,4,8,7]=>[8,4,6,3,7,5,1,2]=>[[[[.,[.,.]],.],[[.,.],[.,.]]],.]
[4,1,2,3,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[1,4,2,3,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[8,5,6,7,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]
[1,2,4,6,3,5,8,7]=>[1,2,5,6,3,4,8,7]=>[8,7,4,3,6,5,1,2]=>[[[[[.,[.,.]],.],[[.,.],.]],.],.]
[4,1,2,3,6,8,5,7]=>[4,2,3,1,7,8,5,6]=>[5,7,6,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[1,2,4,3,6,8,5,7]=>[1,2,4,3,7,8,5,6]=>[8,7,5,6,2,1,4,3]=>[[[[[.,.],[[.,.],.]],[.,.]],.],.]
[1,2,4,6,3,8,5,7]=>[1,2,5,7,3,8,4,6]=>[8,7,4,2,6,1,5,3]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[1,2,4,6,8,3,5,7]=>[1,2,6,7,8,3,4,5]=>[8,7,3,2,1,6,5,4]=>[[[[[.,.],.],[[[.,.],.],.]],.],.]
[4,1,6,2,3,5,7,8]=>[5,2,6,4,1,3,7,8]=>[4,7,3,5,8,6,2,1]=>[[[[.,.],.],.],[[.,[.,.]],[.,.]]]
[4,6,1,2,3,5,7,8]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[4,1,2,6,3,5,7,8]=>[5,2,3,6,1,4,7,8]=>[4,7,6,3,8,5,2,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[1,4,2,6,3,5,7,8]=>[1,5,3,6,2,4,7,8]=>[8,4,6,3,7,5,2,1]=>[[[[[.,.],.],.],[[.,.],[.,.]]],.]
[1,4,6,2,3,5,7,8]=>[1,5,6,4,2,3,7,8]=>[8,4,3,5,7,6,2,1]=>[[[[[.,.],.],.],[.,[[.,.],.]]],.]
[4,1,2,3,6,5,7,8]=>[4,2,3,1,6,5,7,8]=>[5,7,6,8,3,4,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[1,4,2,3,6,5,7,8]=>[1,4,3,2,6,5,7,8]=>[8,5,6,7,3,4,2,1]=>[[[[[.,.],.],[.,.]],[.,[.,.]]],.]
[1,2,4,6,3,5,7,8]=>[1,2,5,6,3,4,7,8]=>[8,7,4,3,6,5,2,1]=>[[[[[[.,.],.],.],[[.,.],.]],.],.]
[4,1,2,3,6,7,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,2,3,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,2,4,6,3,7,5,8]=>[1,2,5,7,3,6,4,8]=>[8,7,4,2,6,3,5,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[1,2,4,6,7,3,5,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[4,1,2,3,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,4,2,3,6,7,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,2,4,6,3,7,8,5]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[1,2,4,6,7,3,8,5]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[1,2,4,6,7,8,3,5]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[4,1,7,2,8,3,5,6]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,7,1,2,8,3,5,6]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[4,1,7,8,2,3,5,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,7,1,8,2,3,5,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,1,7,2,3,8,5,6]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,7,1,2,3,8,5,6]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,4,2,7,3,8,5,6]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,4,7,2,3,8,5,6]=>[1,5,8,4,2,7,6,3]=>[8,4,1,5,7,2,3,6]=>[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]
[4,1,2,7,8,3,5,6]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,4,2,7,8,3,5,6]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,4,7,2,8,3,5,6]=>[1,6,8,4,7,2,5,3]=>[8,3,1,5,2,7,4,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[1,4,7,8,2,3,5,6]=>[1,6,8,7,5,2,4,3]=>[8,3,1,2,4,7,5,6]=>[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]
[4,1,7,2,3,5,8,6]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[4,7,1,2,3,5,8,6]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,1,2,7,3,5,8,6]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[1,4,2,7,3,5,8,6]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[1,4,7,2,3,5,8,6]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[4,1,2,3,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,4,2,3,7,5,8,6]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,2,4,7,3,5,8,6]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[4,1,2,3,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,4,2,3,7,8,5,6]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,7,6,5]=>[8,7,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]
[1,2,4,7,3,8,5,6]=>[1,2,5,8,3,7,6,4]=>[8,7,4,1,6,2,3,5]=>[[[[.,[.,[.,.]]],[[.,.],.]],.],.]
[1,2,4,7,8,3,5,6]=>[1,2,6,8,7,3,5,4]=>[8,7,3,1,2,6,4,5]=>[[[[.,[.,.]],[[.,[.,.]],.]],.],.]
[4,1,7,2,3,5,6,8]=>[5,2,7,4,1,6,3,8]=>[4,7,2,5,8,3,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,7,1,2,3,5,6,8]=>[5,7,3,4,1,6,2,8]=>[4,2,6,5,8,3,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,1,2,7,3,5,6,8]=>[5,2,3,7,1,6,4,8]=>[4,7,6,2,8,3,5,1]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[1,4,2,7,3,5,6,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,4,7,2,3,5,6,8]=>[1,5,7,4,2,6,3,8]=>[8,4,2,5,7,3,6,1]=>[[[[.,.],[.,.]],[.,[[.,.],.]]],.]
[4,1,2,3,7,5,6,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[1,4,2,3,7,5,6,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]
[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,6,5,8]=>[8,7,5,6,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],[.,.]],.],.]
[1,2,4,7,3,5,6,8]=>[1,2,5,7,3,6,4,8]=>[8,7,4,2,6,3,5,1]=>[[[[[.,.],[.,.]],[[.,.],.]],.],.]
[4,1,2,3,5,7,6,8]=>[4,2,3,1,5,7,6,8]=>[5,7,6,8,4,2,3,1]=>[[[[.,.],[.,.]],.],[[.,.],[.,.]]]
[1,4,2,3,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,5,6,7,4,2,3,1]=>[[[[[.,.],[.,.]],.],[.,[.,.]]],.]
[4,1,2,3,5,7,8,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,4,2,3,5,7,8,6]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,2,4,5,7,3,8,6]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[1,2,4,5,7,8,3,6]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[4,1,8,2,3,5,6,7]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[4,8,1,2,3,5,6,7]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[4,1,2,8,3,5,6,7]=>[5,2,3,8,1,6,7,4]=>[4,7,6,1,8,3,2,5]=>[[.,[[.,.],.]],[[[.,.],.],[.,.]]]
[1,4,2,8,3,5,6,7]=>[1,5,3,8,2,6,7,4]=>[8,4,6,1,7,3,2,5]=>[[[.,[[.,.],.]],[[.,.],[.,.]]],.]
[1,4,8,2,3,5,6,7]=>[1,5,8,4,2,6,7,3]=>[8,4,1,5,7,3,2,6]=>[[[.,[[.,.],.]],[.,[[.,.],.]]],.]
[4,1,2,3,8,5,6,7]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[1,4,2,3,8,5,6,7]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[1,2,4,8,3,5,6,7]=>[1,2,5,8,3,6,7,4]=>[8,7,4,1,6,3,2,5]=>[[[[.,[[.,.],.]],[[.,.],.]],.],.]
[4,1,2,3,5,8,6,7]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[1,4,2,3,5,8,6,7]=>[1,4,3,2,5,8,7,6]=>[8,5,6,7,4,1,2,3]=>[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]
[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,2,4,5,8,3,6,7]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[1,4,2,3,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[[[[[[.,.],.],.],.],[.,[.,.]]],.]
[5,1,6,2,7,3,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,6,1,2,7,3,8,4]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,1,6,7,2,3,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,6,1,7,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,7,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,2,7,8,3,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,6,1,2,7,8,3,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,1,6,7,2,8,3,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,6,1,7,2,8,3,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,6,7,1,2,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,6,7,8,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,1,7,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,1,8,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,6,2,7,3,4,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,2,7,3,4,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,7,2,3,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,1,6,2,3,7,4,8]=>[7,2,5,4,3,6,1,8]=>[2,7,4,5,6,3,8,1]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,1,2,6,3,7,4,8]=>[7,2,3,5,4,6,1,8]=>[2,7,6,4,5,3,8,1]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,5,2,6,3,7,4,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[5,1,2,6,7,3,4,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,5,2,6,7,3,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,5,6,2,7,3,4,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[1,5,6,7,2,3,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[5,6,1,2,3,7,8,4]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,1,2,6,3,7,8,4]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[1,5,2,6,3,7,8,4]=>[1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[1,5,6,2,3,7,8,4]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[5,1,2,6,7,3,8,4]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[5,1,2,6,7,8,3,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[1,5,2,6,7,8,3,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,5,6,2,7,8,3,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,5,6,7,2,8,3,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[1,5,6,7,8,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,1,6,2,8,3,4,7]=>[7,2,6,4,8,3,1,5]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[5,6,1,2,8,3,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,1,8,2,3,4,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,1,6,2,3,8,4,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,6,1,2,3,8,4,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,2,6,3,8,4,7]=>[7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,5,2,6,3,8,4,7]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[5,1,2,6,8,3,4,7]=>[7,2,3,6,8,4,1,5]=>[2,7,6,3,1,5,8,4]=>[[.,.],[[[.,[[.,.],.]],.],[.,.]]]
[1,5,2,6,8,3,4,7]=>[1,7,3,6,8,4,2,5]=>[8,2,6,3,1,5,7,4]=>[[[.,.],[[.,[[.,.],.]],[.,.]]],.]
[1,5,6,2,8,3,4,7]=>[1,7,6,4,8,3,2,5]=>[8,2,3,5,1,6,7,4]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[5,1,6,2,3,4,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,6,1,2,3,4,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[1,5,6,2,3,4,8,7]=>[1,6,5,4,3,2,8,7]=>[8,3,4,5,6,7,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]
[1,2,5,6,3,4,8,7]=>[1,2,6,5,4,3,8,7]=>[8,7,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]
[1,2,5,6,3,8,4,7]=>[1,2,7,5,4,8,3,6]=>[8,7,2,4,5,1,6,3]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[1,2,5,6,8,3,4,7]=>[1,2,7,6,8,4,3,5]=>[8,7,2,3,1,5,6,4]=>[[[[.,.],[.,[[.,.],[.,.]]]],.],.]
[5,1,2,6,3,4,7,8]=>[6,2,3,5,4,1,7,8]=>[3,7,6,4,5,8,2,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,5,6,2,3,4,7,8]=>[1,6,5,4,3,2,7,8]=>[8,3,4,5,6,7,2,1]=>[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]
[5,1,2,3,6,4,7,8]=>[6,2,3,4,5,1,7,8]=>[3,7,6,5,4,8,2,1]=>[[[.,.],.],[[[[.,.],.],.],[.,.]]]
[1,5,2,3,6,4,7,8]=>[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,2,5,3,6,4,7,8]=>[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[1,2,5,6,3,4,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[[[[[.,.],.],[.,[.,[.,.]]]],.],.]
[5,1,2,3,6,7,4,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,5,2,3,6,7,4,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,2,5,3,6,7,4,8]=>[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[1,2,5,6,3,7,4,8]=>[1,2,7,5,4,6,3,8]=>[8,7,2,4,5,3,6,1]=>[[[[.,.],[[.,.],[.,[.,.]]]],.],.]
[5,1,2,3,6,7,8,4]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,5,2,3,6,7,8,4]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,2,5,6,3,7,8,4]=>[1,2,8,5,4,6,7,3]=>[8,7,1,4,5,3,2,6]=>[[[.,[[[.,.],.],[.,[.,.]]]],.],.]
[1,2,5,6,7,3,8,4]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,2,5,6,7,8,3,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[5,1,7,2,8,3,4,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[5,7,1,2,8,3,4,6]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[5,1,7,8,2,3,4,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,7,1,8,2,3,4,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,7,8,1,2,3,4,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,1,7,2,3,8,4,6]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[5,7,1,2,3,8,4,6]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[5,1,2,7,3,8,4,6]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,5,2,7,3,8,4,6]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,5,7,2,3,8,4,6]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[5,1,2,7,8,3,4,6]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,5,7,8,2,3,4,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[5,1,7,2,3,4,8,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,7,1,2,3,4,8,6]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,1,2,7,3,4,8,6]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,5,2,7,3,4,8,6]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,5,7,2,3,4,8,6]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,1,2,3,7,4,8,6]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[1,5,2,3,7,4,8,6]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,2,5,3,7,4,8,6]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[1,2,5,7,3,4,8,6]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[5,1,2,3,7,8,4,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,5,2,3,7,8,4,6]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[1,2,5,3,7,8,4,6]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,2,5,7,3,8,4,6]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[1,2,5,7,8,3,4,6]=>[1,2,7,8,6,5,3,4]=>[8,7,2,1,3,4,6,5]=>[[[[.,.],[.,[.,[[.,.],.]]]],.],.]
[5,1,7,2,3,4,6,8]=>[6,2,7,4,5,1,3,8]=>[3,7,2,5,4,8,6,1]=>[[[.,.],.],[[[.,.],[.,.]],[.,.]]]
[5,7,1,2,3,4,6,8]=>[6,7,3,4,5,1,2,8]=>[3,2,6,5,4,8,7,1]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[5,1,2,7,3,4,6,8]=>[6,2,3,7,5,1,4,8]=>[3,7,6,2,4,8,5,1]=>[[[.,.],.],[[[.,[.,.]],.],[.,.]]]
[1,5,2,7,3,4,6,8]=>[1,6,3,7,5,2,4,8]=>[8,3,6,2,4,7,5,1]=>[[[[.,.],.],[[.,[.,.]],[.,.]]],.]
[1,5,7,2,3,4,6,8]=>[1,6,7,4,5,2,3,8]=>[8,3,2,5,4,7,6,1]=>[[[[.,.],.],[[.,.],[[.,.],.]]],.]
[1,2,5,7,3,4,6,8]=>[1,2,6,7,5,3,4,8]=>[8,7,3,2,4,6,5,1]=>[[[[[.,.],.],[.,[[.,.],.]]],.],.]
[1,5,2,3,4,7,6,8]=>[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,2,5,3,4,7,6,8]=>[1,2,5,4,3,7,6,8]=>[8,7,4,5,6,2,3,1]=>[[[[[.,.],[.,.]],[.,[.,.]]],.],.]
[1,2,3,5,7,4,6,8]=>[1,2,3,6,7,4,5,8]=>[8,7,6,3,2,5,4,1]=>[[[[[[.,.],.],[[.,.],.]],.],.],.]
[5,1,2,3,4,7,8,6]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,5,2,3,4,7,8,6]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,2,5,3,4,7,8,6]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,2,3,5,7,4,8,6]=>[1,2,3,6,8,4,7,5]=>[8,7,6,3,1,5,2,4]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[5,1,8,2,3,4,6,7]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,8,1,2,3,4,6,7]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,1,2,8,3,4,6,7]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[1,5,2,8,3,4,6,7]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[1,5,8,2,3,4,6,7]=>[1,6,8,4,5,2,7,3]=>[8,3,1,5,4,7,2,6]=>[[[.,[.,.]],[[.,.],[[.,.],.]]],.]
[5,1,2,3,8,4,6,7]=>[6,2,3,4,8,1,7,5]=>[3,7,6,5,1,8,2,4]=>[[.,[.,.]],[[[[.,.],.],.],[.,.]]]
[1,5,2,3,8,4,6,7]=>[1,6,3,4,8,2,7,5]=>[8,3,6,5,1,7,2,4]=>[[[.,[.,.]],[[[.,.],.],[.,.]]],.]
[1,2,5,3,8,4,6,7]=>[1,2,6,4,8,3,7,5]=>[8,7,3,5,1,6,2,4]=>[[[[.,[.,.]],[[.,.],[.,.]]],.],.]
[1,2,5,8,3,4,6,7]=>[1,2,6,8,5,3,7,4]=>[8,7,3,1,4,6,2,5]=>[[[[.,[.,.]],[.,[[.,.],.]]],.],.]
[5,1,2,3,4,8,6,7]=>[5,2,3,4,1,8,7,6]=>[4,7,6,5,8,1,2,3]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[1,5,2,3,4,8,6,7]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,2,5,3,4,8,6,7]=>[1,2,5,4,3,8,7,6]=>[8,7,4,5,6,1,2,3]=>[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]
[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,7,6]=>[8,7,6,4,5,1,2,3]=>[[[[[.,[.,[.,.]]],[.,.]],.],.],.]
[1,2,3,5,8,4,6,7]=>[1,2,3,6,8,4,7,5]=>[8,7,6,3,1,5,2,4]=>[[[[[.,[.,.]],[[.,.],.]],.],.],.]
[1,2,5,3,4,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,4,5,6,3,2,1]=>[[[[[[.,.],.],.],[.,[.,.]]],.],.]
[6,1,7,2,8,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,7,1,2,8,3,4,5]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,1,7,8,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,7,1,8,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,7,2,3,8,4,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,7,1,2,3,8,4,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,1,2,7,3,8,4,5]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[1,6,2,7,3,8,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,6,7,2,3,8,4,5]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[6,1,2,7,8,3,4,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[1,6,2,7,8,3,4,5]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,6,7,2,8,3,4,5]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,6,7,8,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,1,7,2,3,4,8,5]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,7,1,2,3,4,8,5]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[6,1,2,7,3,4,8,5]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[1,6,2,7,3,4,8,5]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[1,6,7,2,3,4,8,5]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,2,6,7,3,4,8,5]=>[1,2,8,6,5,4,7,3]=>[8,7,1,3,4,5,2,6]=>[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]
[1,6,2,3,7,8,4,5]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[1,2,6,3,7,8,4,5]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,2,6,7,3,8,4,5]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,2,6,7,8,3,4,5]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]
[6,1,7,2,3,4,5,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,1,2,7,3,4,5,8]=>[7,2,3,6,5,4,1,8]=>[2,7,6,3,4,5,8,1]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[1,6,2,7,3,4,5,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,6,7,2,3,4,5,8]=>[1,7,6,4,5,3,2,8]=>[8,2,3,5,4,6,7,1]=>[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]
[6,1,2,3,7,4,5,8]=>[7,2,3,4,6,5,1,8]=>[2,7,6,5,3,4,8,1]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,2,6,7,3,4,5,8]=>[1,2,7,6,5,4,3,8]=>[8,7,2,3,4,5,6,1]=>[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]
[6,1,2,3,4,7,5,8]=>[7,2,3,4,5,6,1,8]=>[2,7,6,5,4,3,8,1]=>[[.,.],[[[[[.,.],.],.],.],[.,.]]]
[1,6,2,3,4,7,5,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,2,6,3,4,7,5,8]=>[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[1,2,3,6,7,4,5,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[[[[[.,.],[.,[.,[.,.]]]],.],.],.]
[6,1,2,3,4,7,8,5]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,6,2,3,4,7,8,5]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,2,3,6,4,7,8,5]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[1,2,3,6,7,4,8,5]=>[1,2,3,8,6,5,7,4]=>[8,7,6,1,3,4,2,5]=>[[[[.,[[.,.],[.,[.,.]]]],.],.],.]
[1,2,3,6,7,8,4,5]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[6,1,8,2,3,4,5,7]=>[7,2,8,4,5,6,1,3]=>[2,7,1,5,4,3,8,6]=>[[.,.],[[[[.,.],.],[.,.]],[.,.]]]
[6,8,1,2,3,4,5,7]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[6,1,2,8,3,4,5,7]=>[7,2,3,8,5,6,1,4]=>[2,7,6,1,4,3,8,5]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[1,6,2,8,3,4,5,7]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,6,8,2,3,4,5,7]=>[1,7,8,4,5,6,2,3]=>[8,2,1,5,4,3,7,6]=>[[[.,.],[[[.,.],.],[[.,.],.]]],.]
[6,1,2,3,8,4,5,7]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[1,6,2,3,8,4,5,7]=>[1,7,3,4,8,6,2,5]=>[8,2,6,5,1,3,7,4]=>[[[.,.],[[[.,[.,.]],.],[.,.]]],.]
[1,2,6,3,8,4,5,7]=>[1,2,7,4,8,6,3,5]=>[8,7,2,5,1,3,6,4]=>[[[[.,.],[[.,[.,.]],[.,.]]],.],.]
[1,2,6,8,3,4,5,7]=>[1,2,7,8,5,6,3,4]=>[8,7,2,1,4,3,6,5]=>[[[[.,.],[[.,.],[[.,.],.]]],.],.]
[1,2,3,6,4,5,8,7]=>[1,2,3,6,5,4,8,7]=>[8,7,6,3,4,5,1,2]=>[[[[[.,[.,.]],[.,[.,.]]],.],.],.]
[1,2,3,4,6,8,5,7]=>[1,2,3,4,7,8,5,6]=>[8,7,6,5,2,1,4,3]=>[[[[[[.,.],[[.,.],.]],.],.],.],.]
[1,6,2,3,4,5,7,8]=>[1,6,3,4,5,2,7,8]=>[8,3,6,5,4,7,2,1]=>[[[[.,.],.],[[[.,.],.],[.,.]]],.]
[1,2,6,3,4,5,7,8]=>[1,2,6,4,5,3,7,8]=>[8,7,3,5,4,6,2,1]=>[[[[[.,.],.],[[.,.],[.,.]]],.],.]
[1,2,3,6,4,5,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[[[[[[.,.],.],[.,[.,.]]],.],.],.]
[7,1,8,2,3,4,5,6]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[7,1,2,8,3,4,5,6]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[1,7,2,8,3,4,5,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,7,8,2,3,4,5,6]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,7,2,3,8,4,5,6]=>[1,8,3,4,7,6,5,2]=>[8,1,6,5,2,3,4,7]=>[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]
[1,2,7,3,8,4,5,6]=>[1,2,8,4,7,6,5,3]=>[8,7,1,5,2,3,4,6]=>[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]
[1,2,7,8,3,4,5,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[7,1,2,3,4,8,5,6]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[1,2,7,3,4,8,5,6]=>[1,2,8,4,5,7,6,3]=>[8,7,1,5,4,2,3,6]=>[[[.,[[[.,[.,.]],.],[.,.]]],.],.]
[1,2,3,7,4,8,5,6]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[1,2,3,7,8,4,5,6]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]
[7,1,2,3,4,5,8,6]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]=>[.,[[[[[[.,.],.],.],.],.],[.,.]]]
[1,7,2,3,4,5,8,6]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,2,3,7,4,5,8,6]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[1,2,3,4,7,5,8,6]=>[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],.],.],.],.]
[1,7,2,3,4,5,6,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,2,7,3,4,5,6,8]=>[1,2,7,4,5,6,3,8]=>[8,7,2,5,4,3,6,1]=>[[[[.,.],[[[.,.],.],[.,.]]],.],.]
[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,6,5,8]=>[8,7,6,5,2,3,4,1]=>[[[[[[.,.],[.,[.,.]]],.],.],.],.]
[1,8,2,3,4,5,6,7]=>[1,8,3,4,5,6,7,2]=>[8,1,6,5,4,3,2,7]=>[[.,[[[[[.,.],.],.],.],[.,.]]],.]
[1,2,3,8,4,5,6,7]=>[1,2,3,8,5,6,7,4]=>[8,7,6,1,4,3,2,5]=>[[[[.,[[[.,.],.],[.,.]]],.],.],.]
[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,6,7,5]=>[8,7,6,5,1,3,2,4]=>[[[[[.,[[.,.],[.,.]]],.],.],.],.]
[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,7,6]=>[8,7,6,5,4,1,2,3]=>[[[[[[.,[.,[.,.]]],.],.],.],.],.]
[5,3,2,6,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,3,2,5,4,8,1,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,4,5,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,5,2,3,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[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]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,5,4,3,2,8,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,3,7,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,3,8,2,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,3,1,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,5,1,3,8,2,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,1,5,4,8,2,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[2,1,7,5,4,8,3,6]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,8,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,8,5,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,8,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,1,7,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,1,6,7,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,7,1,6,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,7,6,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,6,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,7,2,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,6,2,7,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,6,7,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,2,6,8,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,2,7,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,3,2,7,1,8,4,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[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]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[5,3,2,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,3,2,8,7,1,5,4]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,2,8,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,2,1,7,6,3]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,5,8,1,2,7,6,3]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,5,1,8,2,7,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,1,5,8,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,6,8,7,3,5,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,6,1,8,7,2,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,6,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,7,1,8,6,5,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,7,8,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,8,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,7,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[3,4,1,2,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[7,8,9,10,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[7,8,9,10,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,5,6,1,2,3,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[5,6,7,8,9,10,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,5,6,3,4,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[9,10,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,6,5,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[9,10,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[6,5,4,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[5,6,7,8,9,10,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,7,4,3,6,5,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,9,4,3,6,5,8,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[5,6,7,8,1,2,3,4,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,6,7,8,3,4,5,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,4,1,2,7,8,5,6,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[7,8,9,10,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,4,3,7,8,5,6,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[9,10,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,3,8,7,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[9,10,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[4,3,2,1,8,7,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[7,8,9,10,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,8,7,6,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,9,6,5,4,3,8,7,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,10,9,6,5,8,7,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[10,9,8,5,4,7,6,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,6,7,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,7,8,9,10,3,4,5,6]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[6,7,8,9,10,1,2,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,4,1,2,8,9,10,5,6,7]=>[4,3,2,1,10,9,8,7,6,5]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[2,1,4,3,8,9,10,5,6,7]=>[2,1,4,3,10,9,8,7,6,5]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[2,1,5,6,3,4,9,10,7,8]=>[2,1,6,5,4,3,10,9,8,7]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[4,5,6,1,2,3,9,10,7,8]=>[6,5,4,3,2,1,10,9,8,7]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[3,4,1,2,6,5,9,10,7,8]=>[4,3,2,1,6,5,10,9,8,7]=>[7,8,9,10,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]]
[2,1,4,3,6,5,9,10,7,8]=>[2,1,4,3,6,5,10,9,8,7]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[2,1,4,3,6,5,10,9,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[4,3,2,1,6,5,10,9,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>[7,8,9,10,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]]
[2,1,6,5,4,3,10,9,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[10,9,4,3,8,7,6,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[7,10,5,9,3,8,1,6,4,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,5,10,3,8,2,6,1,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,4,3,10,9,8,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[9,10,8,7,6,5,4,3,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[3,2,5,1,4,6,7,8]=>[4,2,5,1,3,6,7,8]=>[5,7,4,8,6,3,2,1]=>[[[[[.,.],.],.],.],[[.,.],[.,.]]]
[4,2,5,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[5,2,4,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]
[3,2,6,1,4,5,7,8]=>[4,2,6,1,5,3,7,8]=>[5,7,3,8,4,6,2,1]=>[[[[.,.],.],[.,.]],[[.,.],[.,.]]]
[4,2,6,1,3,5,7,8]=>[5,4,6,2,1,3,7,8]=>[4,5,3,7,8,6,2,1]=>[[[[.,.],.],.],[.,[[.,.],[.,.]]]]
[5,3,6,1,2,4,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,2,4,1,3,5,7,8]=>[6,4,5,2,3,1,7,8]=>[3,5,4,7,6,8,2,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[6,3,5,1,2,4,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,2,7,1,3,4,6,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,3,7,1,2,4,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[5,4,7,1,2,3,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[6,3,7,1,2,4,5,8]=>[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,7,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,2,4,6,8]=>[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,6,1,2,4,5,8]=>[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,6,1,2,3,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,8,1,4,5,6,7]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[5,2,8,1,3,4,6,7]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,4,8,1,2,3,6,7]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,2,8,1,3,4,5,7]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[6,3,8,1,2,4,5,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,2,8,1,3,4,5,6]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,3,8,1,2,4,5,6]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,4,8,1,2,3,5,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,5,8,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,1,2,4,6,7]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[8,3,6,1,2,4,5,7]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,3,7,1,2,4,5,6]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,4,7,1,2,3,5,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,7,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,2,5,7,1,4,6,8]=>[5,2,6,7,1,3,4,8]=>[4,7,3,2,8,6,5,1]=>[[[[.,.],.],.],[[[.,.],.],[.,.]]]
[4,2,5,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,3,5,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,2,4,7,1,3,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,3,4,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,2,6,7,1,3,5,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[5,2,6,7,1,3,4,8]=>[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,6,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,2,5,7,1,3,4,8]=>[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,5,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,2,4,6,1,3,5,8]=>[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,3,4,6,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,2,5,8,1,4,6,7]=>[5,2,6,8,1,3,7,4]=>[4,7,3,1,8,6,2,5]=>[[[.,[.,.]],.],[[[.,.],.],[.,.]]]
[4,2,5,8,1,3,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,5,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,2,4,8,1,3,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,2,6,8,1,4,5,7]=>[5,2,7,8,1,6,3,4]=>[4,7,2,1,8,3,6,5]=>[[[.,.],[.,.]],[[[.,.],.],[.,.]]]
[4,2,6,8,1,3,5,7]=>[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[4,3,6,8,1,2,5,7]=>[6,5,7,8,2,1,3,4]=>[3,4,2,1,7,8,6,5]=>[[[.,.],.],[.,[[[.,.],.],[.,.]]]]
[5,2,6,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[6,2,4,8,1,3,5,7]=>[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[6,3,4,8,1,2,5,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,2,5,8,1,3,4,7]=>[7,5,6,8,2,3,1,4]=>[2,4,3,1,7,6,8,5]=>[[.,.],[[.,.],[[[.,.],.],[.,.]]]]
[6,3,5,8,1,2,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,4,5,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,2,7,8,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,3,7,8,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,3,7,8,1,2,4,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,4,7,8,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,2,7,8,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,3,7,8,1,2,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,4,7,8,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,4,8,1,3,5,6]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[7,3,4,8,1,2,5,6]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,3,5,8,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,5,8,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,6,8,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,6,1,3,5,7]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[8,3,4,6,1,2,5,7]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,2,5,6,1,3,4,7]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,3,5,6,1,2,4,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,4,7,1,3,5,6]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]
[8,2,5,7,1,3,4,6]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,3,5,7,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,2,6,7,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,4,6,7,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,2,5,1,4,7,8]=>[5,6,3,4,1,2,7,8]=>[4,3,6,5,8,7,2,1]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]
[4,6,2,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,6,3,5,1,2,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[5,6,2,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[3,7,2,5,1,4,6,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,7,3,5,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,7,2,4,1,3,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,7,3,4,1,2,6,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[3,7,2,6,1,4,5,8]=>[5,7,3,6,1,4,2,8]=>[4,2,6,3,8,5,7,1]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[4,7,3,6,1,2,5,8]=>[6,7,5,4,3,1,2,8]=>[3,2,4,5,6,8,7,1]=>[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]
[5,7,2,6,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,3,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,2,5,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,8,2,5,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,8,2,4,1,3,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,8,3,4,1,2,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[3,8,2,6,1,4,5,7]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,8,2,6,1,3,5,7]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,8,3,6,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,4,6,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,2,4,1,3,5,7]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[6,8,3,4,1,2,5,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,3,5,1,2,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,4,5,1,2,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,2,7,1,4,5,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,8,2,7,1,3,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,8,3,7,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,8,2,7,1,3,4,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,3,7,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,4,7,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,2,7,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,8,3,7,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,4,1,3,5,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,8,2,5,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,8,3,5,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,2,6,1,5,7,8]=>[5,3,2,6,1,4,7,8]=>[4,6,7,3,8,5,2,1]=>[[[[.,.],.],.],[[.,.],[.,[.,.]]]]
[5,3,2,6,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,4,2,6,1,3,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,3,2,5,1,4,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,4,2,5,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,4,1,3,7,8]=>[6,5,4,3,2,1,7,8]=>[3,4,5,6,7,8,2,1]=>[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]
[4,3,2,7,1,5,6,8]=>[5,3,2,7,1,6,4,8]=>[4,6,7,2,8,3,5,1]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[5,3,2,7,1,4,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[5,4,3,7,1,2,6,8]=>[6,5,3,7,2,1,4,8]=>[3,4,6,2,7,8,5,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[6,3,2,7,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,2,7,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,2,5,1,4,6,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,2,5,1,3,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,2,6,1,4,5,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,2,6,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,3,6,1,2,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,2,6,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,5,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,2,8,1,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[5,3,2,8,1,4,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,4,3,8,1,2,6,7]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,3,2,8,1,4,5,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,2,8,1,3,5,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,4,3,8,1,2,5,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,5,2,8,1,3,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,5,3,8,1,2,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,5,4,8,1,2,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,3,2,8,1,4,5,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,4,2,8,1,3,5,6]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,4,3,8,1,2,5,6]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,5,3,8,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,4,8,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,8,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,6,4,8,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,5,1,4,6,7]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,4,2,5,1,3,6,7]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,2,6,1,4,5,7]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,4,2,6,1,3,5,7]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,5,3,6,1,2,4,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,4,1,3,5,7]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,6,2,5,1,3,4,7]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,3,2,7,1,4,5,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,4,2,7,1,3,5,6]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,4,3,7,1,2,5,6]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,5,2,7,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,3,7,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,7,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,7,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,4,1,3,5,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,2,5,1,3,4,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,3,5,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,6,1,3,4,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,7,3,6,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,2,5,8,1,4,7]=>[6,7,3,4,8,1,2,5]=>[3,2,6,5,1,8,7,4]=>[[[.,.],.],[[[.,.],.],[[.,.],.]]]
[4,6,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,6,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,7,2,5,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,3,5,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,2,4,8,1,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,3,4,8,1,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,7,2,6,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,7,3,6,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,2,6,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,4,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,3,5,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,2,5,7,1,4,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,8,2,5,7,1,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,8,3,5,7,1,2,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,2,4,7,1,3,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,8,2,6,7,1,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,8,3,6,7,1,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,2,6,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,6,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,6,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,5,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,5,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,4,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,4,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,5,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,2,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[5,3,2,6,8,1,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,2,6,8,1,3,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,4,3,6,8,1,2,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,3,2,5,8,1,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[6,4,3,5,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,2,4,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[4,3,2,7,8,1,5,6]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[5,3,2,7,8,1,4,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,2,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,3,7,8,1,2,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,7,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,3,7,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,2,7,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,2,5,8,1,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,3,5,8,1,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,4,8,1,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,2,6,8,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,5,2,6,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,6,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,2,4,8,1,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,5,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,2,5,7,1,4,6]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,2,5,7,1,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,2,4,7,1,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,2,6,7,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,2,6,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,6,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,6,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,4,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,5,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,5,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,4,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,4,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,2,5,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,7,2,6,1,5,8]=>[6,4,7,2,5,1,3,8]=>[3,5,2,7,4,8,6,1]=>[[[.,.],.],[[.,.],[[.,.],[.,.]]]]
[5,3,7,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,7,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,5,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,3,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,3,8,2,6,1,5,7]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,4,8,2,5,1,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,4,8,3,5,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,8,2,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,8,3,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[4,3,8,2,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,3,8,2,7,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,4,8,2,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,3,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,2,7,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,2,5,1,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,8,3,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,2,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,8,2,6,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,8,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,8,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,2,5,1,4,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,6,2,5,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,6,2,4,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,2,5,1,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,7,3,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,2,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,2,6,1,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,4,7,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,3,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,2,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,7,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,3,2,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,4,3,2,7,1,5,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,3,2,7,1,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,4,2,7,1,3,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,3,2,6,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,5,4,2,6,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,6,3,2,5,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,4,3,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,5,3,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,4,2,8,1,3,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,4,3,8,1,2,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,3,2,8,1,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,4,2,8,1,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,3,2,8,1,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,2,8,1,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,5,3,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,2,6,1,4,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,2,6,1,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,2,5,1,4,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,2,5,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,2,4,1,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,2,7,1,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,3,2,7,1,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,4,2,7,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,3,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,3,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,2,5,1,4,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,3,2,6,1,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,3,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,2,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,3,7,2,6,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,3,7,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,7,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,6,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,6,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,3,8,2,7,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,4,3,8,2,7,1,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,3,8,2,7,1,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,4,8,2,7,1,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,4,8,3,7,1,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,4,3,8,2,6,1,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,5,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,4,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,3,8,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,4,8,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,5,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,3,7,2,6,1,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,5,3,7,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,7,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,7,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,3,7,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,7,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,7,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,7,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,6,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,6,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,4,3,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,6,5,4,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,4,3,2,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,3,2,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,3,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,5,4,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,5,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,4,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,2,3,4,7,5,6]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[5,1,2,3,8,7,4,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[4,1,2,8,3,7,5,6]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[8,1,2,5,3,4,6,7]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[7,1,2,5,3,4,8,6]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[8,1,2,6,3,4,5,7]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[7,1,2,6,3,4,8,5]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[6,1,2,5,3,8,4,7]=>[7,2,3,5,4,8,1,6]=>[2,7,6,4,5,1,8,3]=>[[.,.],[[[[.,.],[.,.]],.],[.,.]]]
[8,1,2,5,3,7,4,6]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,1,2,6,3,7,4,5]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[6,1,2,5,3,7,8,4]=>[8,2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2,8]=>[.,[[[[[.,.],.],[.,.]],.],[.,.]]]
[4,1,2,8,6,3,5,7]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,1,2,8,7,3,5,6]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[4,1,2,7,6,3,8,5]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[8,1,2,5,6,3,4,7]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,1,2,5,7,3,4,6]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,1,2,7,6,3,4,5]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,1,2,5,6,3,8,4]=>[8,2,3,6,5,4,7,1]=>[1,7,6,3,4,5,2,8]=>[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]
[4,1,2,5,8,7,3,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[4,1,2,8,6,7,3,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[8,1,2,5,6,7,3,4]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,1,8,2,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,8,2,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,5,2,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[3,1,8,2,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[6,1,4,2,3,8,5,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,1,5,2,3,4,6,7]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,5,2,3,4,8,6]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,7,2,3,4,5,6]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,1,5,2,3,8,4,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,1,5,2,3,7,4,6]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[6,1,8,2,3,7,4,5]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[8,1,4,2,6,3,5,7]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,4,2,7,3,5,6]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,4,2,6,3,8,5]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,5,2,6,3,4,7]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,1,5,2,7,3,4,6]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,1,8,2,6,3,4,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,1,5,2,6,3,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,4,2,6,7,3,5]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,1,5,2,6,7,3,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[5,1,4,2,6,7,8,3]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[3,1,4,8,2,7,5,6]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[3,1,8,6,2,4,5,7]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,1,6,5,2,8,4,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[3,1,8,5,2,7,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,1,8,6,2,7,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,1,6,5,2,7,8,4]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[8,1,4,5,2,3,6,7]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,1,4,5,2,3,8,6]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,4,6,2,3,5,7]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[7,1,4,8,2,3,5,6]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[7,1,4,6,2,3,8,5]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[8,1,6,5,2,3,4,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,8,5,2,3,4,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,8,6,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,6,5,2,3,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[6,1,4,5,2,8,3,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,1,4,5,2,7,3,6]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[8,1,4,6,2,7,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,6,5,2,7,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,4,8,6,2,5,7]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,1,4,8,7,2,5,6]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,1,4,7,6,2,8,5]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,1,8,5,6,2,4,7]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,8,5,7,2,4,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,1,8,7,6,2,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[8,1,4,5,6,2,3,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,4,5,7,2,3,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,4,7,6,2,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,7,5,6,2,3,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,4,5,6,2,8,3]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,1,4,5,8,7,2,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[3,1,4,8,6,7,2,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[3,1,8,5,6,7,2,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[8,1,4,5,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,8,1,3,6,4,5,7]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[2,8,1,3,7,4,5,6]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[2,5,1,3,8,7,4,6]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[2,8,1,3,6,7,4,5]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[2,4,1,8,3,7,5,6]=>[3,5,1,8,2,7,6,4]=>[6,4,8,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]
[2,8,1,5,3,4,6,7]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,7,1,5,3,4,8,6]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,8,1,6,3,4,5,7]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,7,1,6,3,4,8,5]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,6,1,5,3,8,4,7]=>[3,7,1,5,4,8,2,6]=>[6,2,8,4,5,1,7,3]=>[[[.,.],[[.,.],[.,.]]],[[.,.],.]]
[2,8,1,5,3,7,4,6]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,8,1,6,3,7,4,5]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[2,6,1,5,3,7,8,4]=>[3,8,1,5,4,6,7,2]=>[6,1,8,4,5,3,2,7]=>[[.,[[[.,.],.],[.,.]]],[[.,.],.]]
[2,4,1,8,6,3,5,7]=>[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,4,1,8,7,3,5,6]=>[3,6,1,8,7,2,5,4]=>[6,3,8,1,2,7,4,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,4,1,7,6,3,8,5]=>[3,6,1,8,5,2,7,4]=>[6,3,8,1,4,7,2,5]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[2,8,1,5,6,3,4,7]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,8,1,5,7,3,4,6]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,8,1,7,6,3,4,5]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,7,1,5,6,3,8,4]=>[3,8,1,6,5,4,7,2]=>[6,1,8,3,4,5,2,7]=>[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]
[2,4,1,5,8,7,3,6]=>[3,7,1,4,8,6,2,5]=>[6,2,8,5,1,3,7,4]=>[[[.,.],[[.,[.,.]],.]],[[.,.],.]]
[2,4,1,8,6,7,3,5]=>[3,7,1,8,6,5,2,4]=>[6,2,8,1,3,4,7,5]=>[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]
[2,8,1,5,6,7,3,4]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[7,3,1,2,4,5,8,6]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[8,3,1,2,4,7,5,6]=>[8,4,3,2,5,7,6,1]=>[1,5,6,7,4,2,3,8]=>[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]
[6,3,1,2,4,7,8,5]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[5,3,1,2,8,4,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,3,1,2,7,4,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,3,1,2,6,4,5,7]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[8,3,1,2,7,4,5,6]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[7,3,1,2,6,4,8,5]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[5,3,1,2,8,7,4,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,3,1,2,6,7,4,5]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[5,3,1,2,6,7,8,4]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[7,4,1,2,3,5,8,6]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,4,1,2,3,8,5,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,4,1,2,3,7,5,6]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,4,1,2,3,7,8,5]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,6,1,2,3,4,8,5]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,1,2,3,7,4,6]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]
[8,6,1,2,3,7,4,5]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,4,1,2,8,3,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,4,1,2,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,4,1,2,6,3,5,7]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,4,1,2,7,3,5,6]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,4,1,2,6,3,8,5]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,8,1,2,6,3,4,7]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[5,8,1,2,7,3,4,6]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[8,7,1,2,6,3,4,5]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,7,1,2,6,3,8,4]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,4,1,2,8,7,3,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,4,1,2,6,7,3,5]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,8,1,2,6,7,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,4,1,2,6,7,8,3]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[4,3,1,8,2,5,6,7]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,3,1,7,2,5,8,6]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[4,3,1,6,2,8,5,7]=>[5,3,2,7,1,8,4,6]=>[4,6,7,2,8,1,5,3]=>[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]
[4,3,1,8,2,7,5,6]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[4,3,1,6,2,7,8,5]=>[5,3,2,8,1,6,7,4]=>[4,6,7,1,8,3,2,5]=>[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]
[8,3,1,5,2,4,6,7]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,3,1,5,2,4,8,6]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,3,1,6,2,4,5,7]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,3,1,8,2,4,5,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,3,1,6,2,4,8,5]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[6,3,1,5,2,8,4,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,3,1,5,2,7,4,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,3,1,6,2,7,4,5]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,3,1,5,2,7,8,4]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[8,4,1,5,2,3,6,7]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,5,2,3,8,6]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,1,6,2,3,5,7]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,8,2,3,5,6]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,6,2,3,8,5]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,8,1,5,2,3,4,7]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[8,7,1,5,2,3,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,1,6,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,1,5,2,3,8,4]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,1,5,2,8,3,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,4,1,5,2,7,3,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,4,1,6,2,7,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,1,5,2,7,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,1,5,2,7,8,3]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[4,3,1,8,6,2,5,7]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,3,1,8,7,2,5,6]=>[6,3,2,8,7,1,5,4]=>[3,6,7,1,2,8,4,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[4,3,1,7,6,2,8,5]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[8,3,1,5,6,2,4,7]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,1,5,7,2,4,6]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,3,1,7,6,2,4,5]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,1,5,6,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,1,5,6,2,3,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,1,5,7,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,1,7,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,1,5,6,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,1,5,6,2,8,3]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,3,1,5,8,7,2,6]=>[7,3,2,4,8,6,1,5]=>[2,6,7,5,1,3,8,4]=>[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]
[4,3,1,8,6,7,2,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[8,3,1,5,6,7,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,1,5,6,7,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,1,5,6,7,8,2]=>[8,3,2,4,5,6,7,1]=>[1,6,7,5,4,3,2,8]=>[.,[[[[[.,.],.],.],.],[.,[.,.]]]]
[2,3,8,1,6,4,5,7]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,3,8,1,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,3,5,1,8,7,4,6]=>[4,2,7,1,8,6,3,5]=>[5,7,2,8,1,3,6,4]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[2,3,8,1,6,7,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,8,4,1,3,5,6,7]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[2,7,4,1,3,5,8,6]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[2,6,4,1,3,8,5,7]=>[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,8,4,1,3,7,5,6]=>[4,8,5,1,3,7,6,2]=>[5,1,4,8,6,2,3,7]=>[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]
[2,6,4,1,3,7,8,5]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[2,8,5,1,3,4,6,7]=>[4,8,6,1,5,3,7,2]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,7,5,1,3,4,8,6]=>[4,8,6,1,5,3,7,2]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,6,5,1,3,8,4,7]=>[4,7,5,1,3,8,2,6]=>[5,2,4,8,6,1,7,3]=>[[[.,.],[[.,.],.]],[[.,[.,.]],.]]
[2,6,5,1,3,7,8,4]=>[4,8,5,1,3,6,7,2]=>[5,1,4,8,6,3,2,7]=>[[.,[[[.,.],.],.]],[[.,[.,.]],.]]
[2,5,4,1,8,3,6,7]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,5,4,1,7,3,8,6]=>[4,6,3,1,8,2,7,5]=>[5,3,6,8,1,7,2,4]=>[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]
[2,8,4,1,6,3,5,7]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,8,4,1,7,3,5,6]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,7,4,1,6,3,8,5]=>[4,8,6,1,5,3,7,2]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,8,5,1,6,3,4,7]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,8,5,1,7,3,4,6]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,7,8,1,6,3,4,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,7,5,1,6,3,8,4]=>[4,8,6,1,5,3,7,2]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[2,5,4,1,6,8,3,7]=>[4,7,3,1,5,8,2,6]=>[5,2,6,8,4,1,7,3]=>[[[.,.],[[.,.],.]],[.,[[.,.],.]]]
[2,5,4,1,8,7,3,6]=>[4,7,3,1,8,6,2,5]=>[5,2,6,8,1,3,7,4]=>[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]
[2,8,4,1,6,7,3,5]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,8,5,1,6,7,3,4]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,5,4,1,6,7,8,3]=>[4,8,3,1,5,6,7,2]=>[5,1,6,8,4,3,2,7]=>[[.,[[[.,.],.],.]],[.,[[.,.],.]]]
[7,3,4,1,2,5,8,6]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,3,4,1,2,8,5,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,3,4,1,2,7,5,6]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[6,3,4,1,2,7,8,5]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,3,5,1,2,4,8,6]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,3,7,1,2,4,8,5]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,3,5,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,3,5,1,2,7,4,6]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,3,8,1,2,7,4,5]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,3,5,1,2,7,8,4]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[7,5,4,1,2,3,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,4,1,2,3,5,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,7,4,1,2,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,8,5,1,2,3,4,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,7,5,1,2,3,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,1,2,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,5,4,1,2,7,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,8,4,1,2,7,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,5,1,2,7,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,4,1,2,7,8,3]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,3,4,1,8,2,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,3,4,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,3,4,1,6,2,5,7]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,4,1,7,2,5,6]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,4,1,6,2,8,5]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,5,1,6,2,4,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,5,1,7,2,4,6]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,8,1,6,2,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,5,1,6,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,5,4,1,6,2,3,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,1,7,2,3,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,4,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,5,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,4,1,6,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,4,1,8,7,2,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[8,3,4,1,6,7,2,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,3,5,1,6,7,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,1,6,7,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,3,4,1,6,7,8,2]=>[8,4,3,2,5,6,7,1]=>[1,5,6,7,4,3,2,8]=>[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]
[2,3,4,8,1,7,5,6]=>[5,2,3,8,1,7,6,4]=>[4,7,6,1,8,2,3,5]=>[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]
[2,3,8,6,1,4,5,7]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,6,5,1,8,4,7]=>[5,2,7,4,1,8,3,6]=>[4,7,2,5,8,1,6,3]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[2,3,8,5,1,7,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,8,6,1,7,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[2,3,6,5,1,7,8,4]=>[5,2,8,4,1,6,7,3]=>[4,7,1,5,8,3,2,6]=>[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]
[2,8,4,5,1,3,6,7]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,7,4,5,1,3,8,6]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,8,4,6,1,3,5,7]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[2,7,4,8,1,3,5,6]=>[5,8,6,7,1,3,4,2]=>[4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]
[2,7,4,6,1,3,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,8,6,5,1,3,4,7]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,7,8,5,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,7,8,6,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,7,6,5,1,3,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[2,6,4,5,1,8,3,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[2,8,4,5,1,7,3,6]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,8,4,6,1,7,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,8,6,5,1,7,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,3,4,5,1,2,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,4,6,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[8,3,6,5,1,2,4,7]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,8,5,1,2,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,8,6,1,2,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,3,6,5,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,6,4,5,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,5,1,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,3,4,5,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,4,6,1,7,2,5]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[8,3,6,5,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,1,7,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,4,5,1,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[2,3,4,8,6,1,5,7]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,4,8,7,1,5,6]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,4,7,6,1,8,5]=>[6,2,3,8,5,1,7,4]=>[3,7,6,1,4,8,2,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,8,5,6,1,4,7]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,3,8,5,7,1,4,6]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,3,8,7,6,1,4,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[2,8,4,7,6,1,3,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,8,7,5,6,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,7,4,5,6,1,8,3]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,3,4,5,7,1,2,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,7,6,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,4,5,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,3,4,5,8,7,1,6]=>[7,2,3,4,8,6,1,5]=>[2,7,6,5,1,3,8,4]=>[[.,.],[[[[.,[.,.]],.],.],[.,.]]]
[2,3,4,8,6,7,1,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[2,3,8,5,6,7,1,4]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[2,8,4,5,6,7,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[9,1,2,3,4,5,6,7,8]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[8,1,2,3,4,5,6,9,7]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[7,1,2,3,4,5,8,9,6]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[6,1,2,3,4,7,8,9,5]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[5,1,2,3,6,7,8,9,4]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[4,1,2,5,6,7,8,9,3]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[3,1,8,9,7,2,4,5,6]=>[6,2,9,8,7,1,5,4,3]=>[4,8,1,2,3,9,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],[.,.]]]
[8,1,9,5,6,2,3,4,7]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[8,1,9,7,6,2,3,4,5]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[9,1,4,8,6,7,2,3,5]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[9,1,8,5,6,7,2,3,4]=>[9,2,8,7,6,5,4,3,1]=>[1,8,2,3,4,5,6,7,9]=>[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]
[3,1,4,5,6,7,8,9,2]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[2,8,1,9,7,3,4,5,6]=>[3,9,1,8,7,6,5,4,2]=>[7,1,9,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[2,9,1,8,6,7,3,4,5]=>[3,9,1,8,7,6,5,4,2]=>[7,1,9,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[2,9,1,5,6,7,8,3,4]=>[3,9,1,8,7,6,5,4,2]=>[7,1,9,2,3,4,5,6,8]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]
[4,3,1,5,6,7,8,9,2]=>[9,3,2,4,5,6,7,8,1]=>[1,7,8,6,5,4,3,2,9]=>[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]
[2,3,9,1,8,7,4,5,6]=>[4,2,9,1,8,7,6,5,3]=>[6,8,1,9,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],[.,.]]]
[2,3,9,1,6,7,8,4,5]=>[4,2,9,1,8,7,6,5,3]=>[6,8,1,9,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],[.,.]]]
[2,9,8,1,7,3,4,5,6]=>[4,9,8,1,7,6,5,3,2]=>[6,1,2,9,3,4,5,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[[.,[.,.]],.]]
[2,9,5,1,6,7,8,3,4]=>[4,9,8,1,7,6,5,3,2]=>[6,1,2,9,3,4,5,7,8]=>[[.,[.,[.,[.,[.,.]]]]],[[.,[.,.]],.]]
[2,3,9,6,1,7,8,4,5]=>[5,2,9,8,1,7,6,4,3]=>[5,8,1,2,9,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],[.,.]]]
[2,9,8,6,1,3,4,5,7]=>[5,9,8,7,1,6,4,3,2]=>[5,1,2,3,9,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]]
[2,7,8,9,1,3,4,5,6]=>[5,9,8,7,1,6,4,3,2]=>[5,1,2,3,9,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]]
[2,8,9,6,1,7,3,4,5]=>[5,9,8,7,1,6,4,3,2]=>[5,1,2,3,9,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]]
[2,9,6,5,1,7,8,3,4]=>[5,9,8,7,1,6,4,3,2]=>[5,1,2,3,9,4,6,7,8]=>[[.,[.,[.,[.,.]]]],[[.,[.,[.,.]]],.]]
[9,8,4,5,1,2,3,6,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,4,6,1,2,3,9,5]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,8,6,5,1,2,3,4,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,9,6,1,2,3,4,5]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[7,8,6,5,1,2,3,9,4]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,5,1,7,2,9,4]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,4,5,1,7,2,9,3]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,9,5,7,1,3,4,6]=>[6,9,8,7,5,1,4,3,2]=>[4,1,2,3,5,9,6,7,8]=>[[.,[.,[.,.]]],[.,[[.,[.,[.,.]]],.]]]
[2,8,9,7,6,1,3,4,5]=>[6,9,8,7,5,1,4,3,2]=>[4,1,2,3,5,9,6,7,8]=>[[.,[.,[.,.]]],[.,[[.,[.,[.,.]]],.]]]
[2,9,7,5,6,1,8,3,4]=>[6,9,8,7,5,1,4,3,2]=>[4,1,2,3,5,9,6,7,8]=>[[.,[.,[.,.]]],[.,[[.,[.,[.,.]]],.]]]
[8,3,4,7,6,1,2,9,5]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,6,1,2,9,4]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[9,7,4,5,6,1,2,3,8]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,4,5,6,1,2,3,7]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,9,7,5,6,1,2,3,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[8,7,4,5,6,1,2,9,3]=>[9,7,6,5,4,3,2,8,1]=>[1,3,4,5,6,7,8,2,9]=>[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,4,5,6,1,9,2,8]=>[8,6,5,4,3,2,9,1,7]=>[2,4,5,6,7,8,1,9,3]=>[[.,.],[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[9,3,7,5,6,1,8,2,4]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,9,4,8,6,7,1,3,5]=>[7,9,8,6,5,4,1,3,2]=>[3,1,2,4,5,6,9,7,8]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]
[2,9,8,5,6,7,1,3,4]=>[7,9,8,6,5,4,1,3,2]=>[3,1,2,4,5,6,9,7,8]=>[[.,[.,.]],[.,[.,[.,[[.,[.,.]],.]]]]]
[9,8,4,5,6,7,1,2,3]=>[9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]
[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]=>[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]
[]=>[]=>[]=>.
[3,5,2,6,1,4,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[3,5,2,6,4,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,5,2,7,4,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,2,7,4,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,5,7,2,3,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,5,7,2,3,8,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,6,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,5,6,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,5,1,6,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,5,6,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,5,6,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,5,7,3,2,8,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,3,2,8,6,1]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,6,7,3,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,3,8,2,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,6,7,3,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,5,7,3,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,7,1,3,8,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,1,7,4,8,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,1,5,7,4,8,3,6]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,1,5,7,4,8,6,3]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,5,1,7,4,8,6,2]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,5,7,1,3,8,6,2]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,5,7,3,1,8,6,2]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,6,7,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,3,8,5,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,8,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,1,7,8,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,6,7,8,4,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,6,7,8,4,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,6,1,7,8,4,2,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,6,7,1,8,3,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,6,7,8,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,7,2,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,6,7,2,8,1,3,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,6,7,2,8,3,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,6,7,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,2,7,8,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,2,7,8,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,2,7,8,1,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,5,2,7,1,8,4,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[3,4,2,1,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,4,1,2,7,8,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[3,5,2,7,1,8,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,6,2,7,8,1,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,6,2,7,8,5,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,6,2,7,8,5,4,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,7,2,8,5,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,2,8,5,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,7,2,1,8,6,3]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,5,7,1,2,8,6,3]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[3,5,1,7,2,8,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,1,5,7,3,8,6,4]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,6,7,8,3,5,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,6,1,7,8,2,5,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,6,7,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,8,1,2,4,3]=>[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,1,8,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,1,7,8,5,2,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[2,1,6,7,8,5,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,6,1,7,8,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,7,1,8,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,8,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,2,1,6,5,8,7,10,9]=>[4,3,2,1,6,5,8,7,10,9]=>[7,8,9,10,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[2,1,5,6,4,3,8,7,10,9]=>[2,1,6,5,4,3,8,7,10,9]=>[9,10,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[4,5,6,3,2,1,8,7,10,9]=>[6,5,4,3,2,1,8,7,10,9]=>[5,6,7,8,9,10,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,4,3,7,8,6,5,10,9]=>[2,1,4,3,8,7,6,5,10,9]=>[9,10,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[3,4,2,1,7,8,6,5,10,9]=>[4,3,2,1,8,7,6,5,10,9]=>[7,8,9,10,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,6,7,8,5,4,3,10,9]=>[2,1,8,7,6,5,4,3,10,9]=>[9,10,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,7,8,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[3,4,5,6,7,8,9,10,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,9,4,10,6,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[6,7,8,9,10,4,5,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,1,4,5,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,1,4,5,2,3]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,4,5,2,3,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,4,3,2,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,3,4,5,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,3,4,5,1,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,1,3,4,5,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,3,4,1,2,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,3,4,2,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,2,3,4,1,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,2,3,4,5,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[2,1,4,3,6,5,9,10,8,7]=>[2,1,4,3,6,5,10,9,8,7]=>[9,10,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[3,4,2,1,6,5,9,10,8,7]=>[4,3,2,1,6,5,10,9,8,7]=>[7,8,9,10,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]]
[2,1,5,6,4,3,9,10,8,7]=>[2,1,6,5,4,3,10,9,8,7]=>[9,10,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[4,5,6,3,2,1,9,10,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[5,6,7,8,9,10,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[4,7,8,3,9,10,6,5,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[2,1,4,3,8,9,10,7,6,5]=>[2,1,4,3,10,9,8,7,6,5]=>[9,10,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[3,4,2,1,8,9,10,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[7,8,9,10,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[2,1,7,8,9,10,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[9,10,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[6,7,8,9,10,1,5,4,3,2]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,7,8,9,10,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[6,5,8,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,6,7,4,5,1,8,3]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[1,6,7,4,5,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,4,7,6,2,3,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,5,4,7,6,1,8,3]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,5,4,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,5,3,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,3,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,4,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,3,5,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,2,5,6,1,8,7,4]=>[5,2,8,4,1,7,6,3]=>[4,7,1,5,8,2,3,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,5,6,8,1,7,3]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,2,4,8,6,1,7,3]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,4,5,2,3,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,8,4,5,2,3,7]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[5,1,4,8,6,2,3,7]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[4,1,3,2,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,1,3,8,2,6,4,7]=>[7,2,5,8,3,6,1,4]=>[2,7,4,1,6,3,8,5]=>[[.,.],[[[.,.],[[.,.],.]],[.,.]]]
[6,1,8,3,2,5,4,7]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[7,8,1,3,2,5,4,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,8,2,3,1,5,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,8,3,1,5,7,4]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,2,3,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,3,8,2,1,7,5,4]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,8,3,2,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,4,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,2,8,7,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,5,2,7,8,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,5,3,7,1,6,8,4]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[1,5,3,7,2,6,4,8]=>[1,7,5,6,3,4,2,8]=>[8,2,4,3,6,5,7,1]=>[[[.,.],[[.,.],[[.,.],[.,.]]]],.]
[1,6,7,3,2,5,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[2,6,7,3,1,5,8,4]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[3,6,7,2,1,8,5,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[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]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,1,8,7,2,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,8,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,3,1,2,6,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,1,8,2,7,4,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,1,2,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,2,1,3,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[5,2,1,8,3,4,7,6]=>[6,3,2,8,5,1,7,4]=>[3,6,7,1,4,8,2,5]=>[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]
[6,2,8,1,3,4,7,5]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[7,8,2,1,3,4,6,5]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[4,3,1,2,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[5,6,7,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]
[5,3,1,6,2,4,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,3,1,5,2,4,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,3,1,5,2,8,4,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,4,5,1,2,7,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,5,1,2,8,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,5,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,4,6,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[2,1,6,5,3,4,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]
[3,6,1,5,2,4,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[4,6,5,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,6,4,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,2,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,5,4,1,2,8,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,4,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,4,1,2,8,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[4,7,5,1,2,8,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,1,5,2,8,4,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,1,7,5,3,8,4,6]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,8,5,3,7,4,6]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,8,1,5,2,7,4,6]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[4,8,5,1,2,7,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,8,4,1,2,7,3,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[6,8,4,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,6,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,6,1,7,2,3,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,8,1,6,7,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,1,8,6,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,7,6,8,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,7,1,6,8,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,7,6,1,8,2,3,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,6,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,1,2,8,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,4,7,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,6,1,8,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,6,1,7,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,1,6,7,2,4,5]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,1,6,8,2,4,5]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,1,7,8,2,4,5]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,3,1,7,2,8,4,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,1,2,7,8,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[2,1,4,3,8,7,5,6]=>[2,1,4,3,8,7,6,5]=>[7,8,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]
[3,4,1,2,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,3,1,8,7,2,4,5]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,1,8,6,2,4,5]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,4,7,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,8,1,6,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,8,1,2,7,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,5,8,1,2,7,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,5,1,8,2,7,4,6]=>[5,7,3,8,1,6,2,4]=>[4,2,6,1,8,3,7,5]=>[[[.,.],[.,.]],[[.,.],[[.,.],.]]]
[2,1,5,8,3,7,4,6]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[2,1,6,8,7,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,6,1,8,7,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,6,8,1,7,2,3,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,6,8,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,1,6,2,3,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,7,1,8,6,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,1,7,8,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,7,6,3,4,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,8,1,7,6,2,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,8,7,1,6,2,3,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,7,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,7,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,3,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,7,3,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,7,2,5,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,2,7,6,1,3,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,4,2,7,6,1,8,3]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,4,3,7,6,8,1,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,4,3,7,8,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,4,8,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,3,8,6,7,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,3,6,8,7,1,2]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,4,2,6,7,1,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,4,2,6,7,1,3,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,3,2,6,1,7,4,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,2,6,1,7,8,4]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,3,2,6,1,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,2,6,8,1,7,3]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[5,4,2,8,6,1,7,3]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,8,2,5,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,8,4,2,5,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,2,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,2,8,6,1,3,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,2,6,1,8,4,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,2,1,6,8,5,7]=>[4,3,2,1,7,8,5,6]=>[5,6,7,8,2,1,4,3]=>[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]
[4,3,2,1,8,6,5,7]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[5,3,2,8,1,6,4,7]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,3,8,2,1,5,4,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,8,3,2,1,5,4,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,3,2,1,5,6,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,8,2,1,5,7,4]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,3,2,8,1,6,7,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,2,7,8,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,3,2,7,1,8,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,2,7,1,6,8,4]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,3,2,7,1,6,4,8]=>[7,5,3,6,2,4,1,8]=>[2,4,6,3,7,5,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[6,3,7,2,1,5,4,8]=>[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,3,7,2,1,5,8,4]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,3,7,2,1,8,5,4]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,4,7,2,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,7,8,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,2,1,8,4,5]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,3,7,2,1,4,8,5]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,3,7,2,1,4,5,8]=>[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,2,7,1,4,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[5,4,2,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,8,4,2,6,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,2,1,6,4,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,8,2,1,7,4,5]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,3,2,8,1,7,4,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,3,2,1,8,7,5,6]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,3,2,1,7,5,6,8]=>[4,3,2,1,7,6,5,8]=>[5,6,7,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]
[4,3,2,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[5,3,2,8,1,4,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,3,8,2,1,4,7,5]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,8,3,2,1,4,6,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,8,2,1,4,5,7]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,3,2,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,3,2,1,5,8,6,7]=>[4,3,2,1,5,8,7,6]=>[5,6,7,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]
[7,8,5,6,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,1,4,6,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,1,8,4,7,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,6,8,4,7,2,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,8,3,2,7,5,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[6,1,8,3,2,7,5,4]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[7,8,1,3,2,6,5,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,8,3,1,2,6,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,3,4,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,4,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,3,1,6,5,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,8,2,1,3,6,5,4]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,8,1,2,3,6,5,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,1,8,2,3,7,5,4]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[1,6,8,2,3,7,5,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[1,5,2,8,3,7,6,4]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,1,2,8,3,7,6,4]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[6,2,8,1,3,7,5,4]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,2,8,3,1,7,5,4]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[6,2,8,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,8,4,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,4,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,4,7,1,5,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,6,8,3,1,7,5,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[2,5,1,8,3,7,6,4]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[1,2,5,8,3,7,6,4]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[2,4,1,3,8,7,6,5]=>[3,4,1,2,8,7,6,5]=>[6,5,8,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]
[2,5,3,8,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[2,5,4,8,7,1,6,3]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,5,4,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,3,4,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,4,8,7,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,2,3,8,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,1,3,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,1,2,3,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[1,4,2,3,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[8,5,6,7,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]
[4,1,3,2,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,1,2,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[6,3,8,1,2,7,5,4]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[5,3,1,8,2,7,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,1,3,8,2,7,6,4]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[1,5,3,8,2,7,6,4]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[1,5,4,8,7,2,6,3]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[5,1,4,8,7,2,6,3]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,4,1,8,7,2,6,3]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,8,1,7,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,8,7,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,7,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,1,8,7,2,6,3]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,1,5,8,7,2,6,3]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[1,4,5,8,7,2,6,3]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[1,3,5,8,2,7,6,4]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[3,1,5,8,2,7,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,6,8,1,2,7,5,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,6,8,2,1,7,5,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[4,6,8,2,7,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,3,7,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,3,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,5,2,8,7,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,2,8,1,7,6,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[3,1,4,2,8,7,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,2,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[6,7,8,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]
[3,2,5,8,1,7,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,2,5,8,7,1,6,3]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,3,5,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,4,5,8,7,6,1,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,4,5,8,7,1,6,3]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,3,5,8,1,7,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,1,3,2,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>[5,7,6,8,3,4,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[5,1,3,2,6,4,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[6,1,3,2,5,4,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,1,4,2,5,3,7,6]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,1,4,2,5,3,8,6]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,1,4,2,5,3,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,1,4,2,6,3,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,6,3,5,4,8,7]=>[2,1,6,4,5,3,8,7]=>[7,8,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]
[3,1,6,2,5,4,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,1,6,2,5,3,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[6,2,5,1,4,3,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,6,1,4,3,8,7]=>[6,4,5,2,3,1,8,7]=>[3,5,4,7,6,8,1,2]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,7,1,4,3,8,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[5,2,8,1,4,3,7,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,2,8,1,4,3,7,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[6,2,7,1,4,3,8,5]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,2,6,1,4,3,8,5]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,2,5,1,4,3,8,6]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,1,7,2,5,3,8,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,8,2,5,3,7,6]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[8,2,5,1,4,3,7,6]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[8,2,6,1,4,3,7,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,1,4,3,8,2,6,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,4,3,7,2,6,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,5,3,7,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,5,3,8,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,6,1,5,3,7,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,1,8,2,6,3,7,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,1,8,2,6,3,7,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,1,8,2,6,4,7,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,7,2,6,3,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,1,7,2,6,3,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,2,6,1,5,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,2,7,1,5,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,2,8,1,5,3,7,4]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,1,5,2,6,3,7,4]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,1,5,2,7,3,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,1,4,2,7,3,8,5]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,4,2,6,3,7,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,1,3,2,6,4,7,5]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[4,1,3,2,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[2,1,4,3,8,5,7,6]=>[2,1,4,3,8,6,7,5]=>[7,8,5,6,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]
[3,1,4,2,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,1,3,2,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[6,1,3,2,8,4,7,5]=>[8,2,4,3,7,6,5,1]=>[1,7,5,6,2,3,4,8]=>[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]
[8,4,7,1,3,2,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,4,8,1,3,2,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,8,1,4,2,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,7,1,4,2,6,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,1,4,2,8,3,7,5]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,1,5,2,8,4,7,6]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,1,6,2,8,4,7,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,6,2,8,3,7,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,1,6,2,8,3,7,4]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[6,1,5,2,8,3,7,4]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,3,7,1,5,2,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,8,1,5,2,6,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,7,3,8,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[6,2,8,3,7,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,3,7,2,6,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[5,1,8,3,7,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,8,3,7,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,1,8,4,7,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,8,4,7,3,6,5]=>[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[2,1,7,4,8,3,6,5]=>[2,1,8,6,7,4,5,3]=>[7,8,1,3,2,5,4,6]=>[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]
[3,1,7,4,8,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,7,3,8,2,6,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,1,7,3,8,2,6,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,3,8,2,6,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,2,6,3,7,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,2,6,3,8,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,4,2,6,8,1,5,7]=>[6,3,2,7,8,1,4,5]=>[3,6,7,2,1,8,5,4]=>[[[.,.],.],[[[.,.],.],[.,[.,.]]]]
[5,3,6,2,8,1,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[5,3,6,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,7,3,8,2,4,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,3,8,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,2,5,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,2,5,8,3,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,2,6,3,8,1,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,1,6,8,2,4,7]=>[7,6,3,4,8,2,1,5]=>[2,3,6,5,1,7,8,4]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[5,6,2,8,1,3,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[3,5,6,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,1,5,6,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[4,5,1,6,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,6,3,2,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,4,5,3,8,2,1,6]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,5,3,8,2,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,8,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,8,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,1,8,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,5,3,1,8,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,7,1,5,8,3,2,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[5,3,7,8,1,4,2,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,8,2,4,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,5,1,7,8,3,6,2]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,5,8,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,7,4,3,8,1,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,8,3,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,4,8,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,7,3,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,3,8,4,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,1,6,7,3,8,4,2]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,4,7,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,7,4,8,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,6,7,3,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,6,1,7,3,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,7,3,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,3,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,2,1,7,3,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,1,7,4,2,8,3,5]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,7,2,1,8,3,4,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,8,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,1,8,2,4,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[4,7,1,5,2,8,3,6]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[7,4,2,5,1,8,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,1,8,3,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,4,2,8,3,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,4,2,8,3,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,2,8,4,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,2,8,4,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,6,7,2,1,8,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[5,7,3,8,2,1,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,4,7,8,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[3,7,8,1,4,6,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,4,7,8,2,6,1,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[5,7,3,8,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,2,8,5,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,6,7,8,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,7,8,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,2,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,2,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,5,7,8,2,6,3]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[5,3,7,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,2,8,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,1,7,8,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,6,2,7,8,4,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[5,6,2,1,7,8,4,3]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[5,6,2,7,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,2,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,2,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,7,2,1,8,4,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,1,7,2,8,4,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[5,1,6,7,2,8,4,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[6,4,7,1,8,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,7,1,8,5,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,7,8,5,2,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,7,8,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,6,7,8,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,6,1,7,8,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,7,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,6,1,3,4,2,5,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,2,5,1,6,4,7]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,3,6,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,2,7,4,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,5,3,8,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,2,4,5,8,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,5,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[8,2,4,5,6,3,1,7]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,2,4,5,6,1,3,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,1,2,4,5,6,3,7]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,2,5,1,3,6,4,7]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[8,5,6,2,1,4,3,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,6,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,1,5,6,3,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,4,5,6,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,5,3,7,2,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,4,5,8,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,7,2,8,5,1]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,3,6,7,2,8,1,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[1,4,3,6,7,2,8,5]=>[1,6,3,8,5,2,7,4]=>[8,3,6,1,4,7,2,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[4,5,3,7,1,8,2,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,4,7,1,2,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[7,5,8,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,8,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,5,8,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,3,6,7,8,1,5,2]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[1,6,4,7,8,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,4,7,8,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,6,7,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,5,6,7,8,4,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,6,1,7,8,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,7,1,4,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,2,4,1,7,8,5,3]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[1,5,3,6,7,8,2,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[3,5,6,7,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,5,6,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,7,1,3,8,4,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[5,3,1,7,8,2,4,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,5,2,7,8,1,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[4,2,6,7,8,3,5,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[3,6,2,7,4,8,5,1]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,6,2,7,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,2,1,6,4,7,8,5]=>[3,2,1,8,5,6,7,4]=>[6,7,8,1,4,3,2,5]=>[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]
[1,7,3,4,2,5,8,6]=>[1,8,5,4,3,6,7,2]=>[8,1,4,5,6,3,2,7]=>[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]
[7,8,4,2,1,3,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,3,4,2,6,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,3,4,2,1,6,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,2,7,1,8,5,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[3,6,2,7,1,8,5,4]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,7,3,8,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,2,7,8,1,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,4,5,8,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,5,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,3,8,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,2,1,6,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,7,1,3,8,5,4]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[6,3,1,7,8,2,5,4]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,6,1,7,8,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,1,2,6,7,8,4,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[5,2,6,7,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,6,7,8,4,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,5,6,7,8,4,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[1,5,2,6,7,8,4,3]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,6,4,7,8,5,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,7,8,2,1,5,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,3,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,7,8,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,3,6,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,6,3,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[4,6,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,7,2,6,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,4,8,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,5,4,1,3,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,4,2,1,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,6,2,4,1,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,2,6,5,1,3,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,2,8,6,5,1,4,7]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,1,5,4,8,2,6,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,5,4,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,6,7,4,5,3,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,1,6,7,4,5,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,6,8,4,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,7,8,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,1,7,2,8,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,1,2,7,8,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,2,1,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,8,7,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,8,2,7,1,5,3,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[5,8,7,2,1,4,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,8,7,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,6,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,7,6,8,4,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,7,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,6,7,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,8,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,2,1,3,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,2,8,1,3,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,2,6,8,4,1,5,7]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[4,6,2,8,3,1,5,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[5,6,8,2,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,8,3,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,5,8,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,3,1,4,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,5,7,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,4,3,7,8,5,6,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[8,4,3,7,1,5,2,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,4,3,8,2,1,5,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,5,2,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,5,2,3,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[6,4,3,1,2,8,7,5]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[7,4,3,1,8,2,6,5]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,3,1,7,6,2,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,5,8,3,7,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,5,1,3,7,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,1,3,8,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,1,3,2,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,6,1,2,3,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,6,2,1,3,8,7,5]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,2,7,1,8,4,6,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,7,2,1,8,3,6,5]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[5,7,1,2,8,3,6,4]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,7,1,8,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,1,8,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,1,7,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,8,7,3,5,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,8,6,5,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,7,1,6,5,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,1,6,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,1,7,2,5,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,1,2,7,6,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,8,2,1,7,6,3,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[3,2,8,1,7,6,4,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,2,8,7,6,5,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,1,8,2,7,6,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[6,1,8,7,2,5,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,8,6,5,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,7,6,5,4,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,1,2,6,5,8,7,4]=>[3,2,1,8,5,7,6,4]=>[6,7,8,1,4,2,3,5]=>[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]
[4,5,1,2,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,6,1,2,3,8,7,5]=>[5,8,3,4,1,7,6,2]=>[4,1,6,5,8,2,3,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[1,6,5,3,4,8,7,2]=>[1,8,5,4,3,7,6,2]=>[8,1,4,5,6,2,3,7]=>[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]
[6,5,1,2,3,8,7,4]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,4,1,2,3,8,7,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,4,1,2,3,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,4,1,2,7,3,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[6,4,1,7,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,4,1,8,2,3,5,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,2,8,3,6,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,8,3,6,4]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,1,5,2,8,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,7,5,3,8,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,5,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,1,5,2,7,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[8,5,1,2,7,3,6,4]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[8,4,1,2,7,3,6,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[8,4,1,7,2,3,5,6]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,4,1,6,2,3,5,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,6,1,7,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,6,7,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,6,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,6,8,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,1,6,8,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,6,1,8,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,1,2,8,3,6,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,1,7,2,8,4,6,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,2,7,8,5,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[1,4,3,8,7,5,6,2]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[4,1,2,8,7,5,6,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[3,1,2,8,7,5,6,4]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,1,8,2,7,4,6,5]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,8,7,2,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,1,7,6,2,4,5,8]=>[5,2,7,6,1,4,3,8]=>[4,7,2,3,8,5,6,1]=>[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]
[4,8,1,6,2,3,5,7]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,8,1,7,2,3,5,6]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[4,8,1,2,7,3,6,5]=>[6,8,3,4,7,1,5,2]=>[3,1,6,5,2,8,4,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[5,8,1,2,7,3,6,4]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,1,8,2,7,4,6,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,5,8,3,7,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,8,7,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,1,8,7,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,8,1,7,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,7,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,7,1,2,3,4,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,8,6,1,2,3,4,7]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,8,1,6,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,8,6,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,7,8,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,7,6,3,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,1,7,6,2,4,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,7,1,6,2,3,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,2,5,1,6,4,8,7]=>[4,2,6,1,5,3,8,7]=>[5,7,3,8,4,6,1,2]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[4,2,5,3,7,6,8,1]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,2,5,3,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,1,5,4,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,5,3,6,2,8,7]=>[6,2,4,3,5,1,8,7]=>[3,7,5,6,4,8,1,2]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,3,5,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,3,6,2,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,6,2,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,3,6,1,7,2,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,3,5,1,7,2,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,3,5,1,7,6,8,2]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,3,6,1,7,5,8,2]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,3,6,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,6,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,6,4,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,6,1,7,4,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,6,3,7,4,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,6,3,7,5,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,1,6,4,7,5,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,1,6,4,7,5,8,3]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[2,1,6,4,7,3,8,5]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[3,1,6,4,7,2,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,1,6,3,7,2,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[5,1,6,3,7,2,8,4]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,3,6,1,7,2,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,6,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,6,2,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,3,7,4,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,3,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,1,7,3,8,4]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,5,1,7,3,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,2,6,1,7,3,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,2,6,3,7,1,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,2,6,3,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,2,6,4,7,5,8,1]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,2,6,4,7,1,8,5]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,2,5,1,7,4,8,6]=>[4,2,6,1,8,3,7,5]=>[5,7,3,8,1,6,2,4]=>[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]
[3,2,4,1,7,5,8,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,1,4,2,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[3,2,6,5,7,1,8,4]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[4,2,6,5,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,6,5,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,2,6,1,7,5,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,2,5,1,7,6,8,3]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,1,6,2,7,5,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,6,2,7,4,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,2,6,1,7,4,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[5,2,6,4,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,6,4,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,2,7,3,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,2,7,1,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,1,7,2,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,1,6,4,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,6,5,7,2,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,1,6,5,7,2,8,4]=>[6,2,8,4,5,1,7,3]=>[3,7,1,5,4,8,2,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[2,1,6,5,7,3,8,4]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[3,1,6,5,7,4,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,1,6,5,7,3,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,1,6,4,7,3,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[5,4,6,1,7,3,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,4,6,3,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,3,5,2,1,6,4,7]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[8,6,3,5,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,5,2,4,1,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,3,7,5,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,4,5,7,3,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,5,7,3,1,8,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,2,4,6,5,3,1,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,5,4,6,1,3,7]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,6,3,5,1,4,2,7]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,1,4,5,3,2,7]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,5,6,4,3,2,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,4,3,2,1,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,5,7,4,3,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,8,3,2,7,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,3,2,8,1,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[1,4,6,7,3,2,8,5]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[5,4,7,3,1,8,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,7,5,1,4,2,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[5,7,4,2,1,3,8,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[8,5,7,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,1,7,5,3,6,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,3,8,7,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,4,8,6,3,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,4,7,6,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,5,8,7,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,5,8,6,7,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,8,1,6,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,4,1,8,7,5,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,2,6,1,4,7,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[2,7,6,8,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,7,1,6,4,8,2,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[1,7,3,5,6,8,2,4]=>[1,8,7,5,4,6,3,2]=>[8,1,2,4,5,3,6,7]=>[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]
[3,7,6,5,8,2,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,6,8,5,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,5,7,6,8,1,4]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[2,1,6,5,7,8,3,4]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[4,2,6,8,7,3,5,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,8,2,4,6,7,5,1]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[3,7,2,6,4,8,1,5]=>[7,8,3,5,4,6,1,2]=>[2,1,6,4,5,3,8,7]=>[[.,.],[[[.,.],[.,.]],[[.,.],.]]]
[3,2,6,1,4,7,8,5]=>[4,2,8,1,5,6,7,3]=>[5,7,1,8,4,3,2,6]=>[[.,[[[.,.],.],.]],[[.,.],[.,.]]]
[5,3,7,2,1,8,4,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[8,7,6,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,3,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,7,2,1,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,7,8,6,2,1,5,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[8,7,6,3,5,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,4,8,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,6,8,2,1,7,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,1,5,7,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,3,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,7,1,3,5,4]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[8,3,6,1,7,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,1,8,7,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,2,5,6,7,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,2,6,5,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,7,8,5,6,4,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,2,5,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,8,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,7,2,5,8,6,4,3]=>[1,8,3,7,6,5,4,2]=>[8,1,6,2,3,4,5,7]=>[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]
[1,7,4,8,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,8,1,6,5,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,7,8,6,1,3,5,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,7,6,3,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,7,6,5,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,5,6,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,1,6,7,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,3,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,6,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,5,3,7,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,4,5,7,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,2,4,5,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,2,4,5,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[2,6,1,4,5,3,8,7]=>[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[5,6,3,2,1,4,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,4,3,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,3,1,4,5,2,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,1,6,4,5,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[8,3,7,4,5,1,2,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,4,2,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,7,4,1,6,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[8,1,7,4,2,6,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,7,8,4,5,1,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,1,8,7,5,3,4,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,6,8,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,6,3,8,1,7,2,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[7,6,1,4,5,8,3,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,7,6,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,7,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,8,4,7,6,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,8,4,7,6,1,3]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[2,4,8,3,5,6,7,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,1,8,3,5,6,7,2]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[3,8,4,2,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,4,1,3,5,6,7,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[7,5,8,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,8,4,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[2,1,5,8,4,6,7,3]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,4,8,3,6,7,5]=>[2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[6,4,3,8,2,1,7,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[7,3,8,4,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,1,2,5,6,7,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,1,8,2,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,3,8,1,5,6,7,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,8,2,5,6,7,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,8,2,3,5,6,7,1]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[2,8,1,3,5,6,7,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[7,8,2,4,3,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,2,4,1,7,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,1,8,3,4,6,7,5]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[2,1,7,8,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,7,3,8,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,1,8,4,5,3,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,7,8,4,5,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,1,4,3,6,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,7,4,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,8,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,3,8,4,2,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,8,3,6,2,1,7,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[8,6,3,1,4,2,7,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,8,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,3,1,8,5,7,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[4,1,3,2,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[7,5,3,6,2,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,3,5,1,2,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,3,2,6,1,7,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,5,3,8,6,2,7,1]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[3,5,8,4,7,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,2,4,7,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,5,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,7,6,4,5,8,1,3]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,1,6,4,5,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[5,7,3,6,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,7,6,5,8,3,4]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,8,5,3,6,7,4]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[6,8,3,5,2,1,7,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,4,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,4,2,5,6,7,3]=>[8,2,7,4,5,6,3,1]=>[1,7,2,5,4,3,6,8]=>[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]
[4,8,1,2,5,6,7,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[3,4,8,1,5,6,7,2]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[2,4,1,8,5,6,7,3]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,1,2,8,5,6,7,3]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[8,4,2,1,5,6,7,3]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,5,2,4,8,6,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,3,2,8,1,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,5,8,1,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,3,5,4,8,6,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,1,5,6,7,2]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[3,1,4,8,5,6,7,2]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[6,5,3,7,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,2,4,5,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,1,7,4,8,6,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,7,4,8,6,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,6,3,7,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,8,7,4,5,2,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,5,4,8,6,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,1,4,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,6,3,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,6,3,5,8,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,6,3,8,1,2,7,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,7,8,4,1,6,2,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,2,5,1,6,8,4,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,6,2,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,2,4,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,5,8,2,4,7,6,1]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,2,5,8,3,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,2,6,5,3,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,3,5,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,6,1,5,3,8,2,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,1,6,4,3,8,2,7]=>[7,2,5,4,3,8,1,6]=>[2,7,4,5,6,1,8,3]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[5,4,3,2,7,1,8,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[5,4,3,8,2,7,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,3,6,2,8,7,5,1]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,3,7,6,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[6,4,3,1,7,2,8,5]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,5,4,3,1,8,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,4,7,5,8,3,2,6]=>[1,7,8,6,5,4,2,3]=>[8,2,1,3,4,5,7,6]=>[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]
[7,1,3,5,8,4,2,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,2,5,8,4,1,3,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,7,4,6,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,5,8,7,1,4,6,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,4,5,8,7,3,6,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[1,5,4,8,7,3,6,2]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[6,4,3,8,1,7,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,3,7,1,8,6,5,2]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[4,8,3,7,6,5,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,8,7,6,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,3,1,8,6,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,6,5,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,5,8,6,3,7,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,6,1,8,7,3,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,7,3,1,4,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,7,4,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,8,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,1,6,8,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,7,6,4,8,3,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,1,6,3,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,1,7,5,3,2,8,4]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[7,6,5,3,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,2,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,2,6,3,8,7,4,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,2,7,6,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,1,7,3,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,2,7,4,1,8,3,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[4,7,2,6,3,1,8,5]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,4,8,6,3,7,5,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[3,8,6,2,4,7,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,2,4,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,7,2,1,4,8,5]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[4,3,7,8,2,1,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,3,7,1,4,6,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,8,2,5,7,1,6,4]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[8,3,6,2,7,1,5,4]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,8,3,6,2,1,5,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,3,6,2,5,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,8,2,1,6,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,6,8,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[5,4,8,2,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[4,8,1,5,7,2,6,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,3,7,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,2,6,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,6,2,7,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,1,7,5,2,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,1,6,8,2,7,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,2,8,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,2,7,1,8,6,4,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[5,8,2,7,6,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,8,7,5,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,6,2,1,8,5,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,1,7,2,8,5,4,3]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[7,5,1,8,2,6,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,1,8,6,2,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,3,1,6,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,6,1,5,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,1,6,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,1,7,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,1,8,6,5,4,3,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,4,2,7,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,6,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[8,4,2,6,3,1,5,7]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,7,2,6,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,7,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,7,5,2,8,3,4,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[6,8,5,2,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,8,6,2,3,1,4,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,8,2,6,3,1,5,7]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[3,2,8,6,4,1,5,7]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[7,1,5,2,8,3,4,6]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[1,8,5,2,7,3,4,6]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[1,8,6,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,1,6,7,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,6,8,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,2,1,7,8,4,5,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[3,2,8,7,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,8,7,2,1,3,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,7,6,8,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,8,2,3,1,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,5,7,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,2,8,3,1,5,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,4,2,3,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[3,2,5,4,1,8,6,7]=>[5,2,4,3,1,8,7,6]=>[4,7,5,6,8,1,2,3]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,5,2,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[5,4,2,3,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[6,4,2,1,3,8,5,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,4,2,1,8,3,5,6]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[8,4,2,1,7,3,5,6]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,4,2,8,7,3,5,6]=>[1,6,3,8,7,2,5,4]=>[8,3,6,1,2,7,4,5]=>[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]
[8,5,1,2,7,3,4,6]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,5,1,2,8,3,4,6]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[6,5,1,2,3,8,4,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,6,2,1,3,8,5,7]=>[5,7,4,3,1,8,2,6]=>[4,2,5,6,8,1,7,3]=>[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]
[3,2,6,1,4,8,5,7]=>[4,2,7,1,5,8,3,6]=>[5,7,2,8,4,1,6,3]=>[[[.,.],[[.,.],.]],[[.,.],[.,.]]]
[3,2,7,1,8,4,5,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,7,2,1,8,3,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[7,6,1,8,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,1,7,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,6,8,7,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,7,8,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,8,1,6,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,8,1,7,2,3,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,8,2,1,7,3,5,6]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[3,2,8,1,7,4,5,6]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,2,1,8,7,4,5,6]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,1,8,2,7,3,4,6]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[6,1,8,7,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,7,6,2,3,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[1,8,7,6,2,3,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,3,5,1,2,4,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[4,3,5,6,1,2,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,3,7,5,2,1,4,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,7,5,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,2,7,4,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,1,5,4,3,8,7]=>[3,6,1,5,4,2,8,7]=>[6,3,8,4,5,7,1,2]=>[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]
[6,4,3,5,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,7,4,6,2,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,1,4,7,2,6,3,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[3,4,7,8,5,2,1,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[2,1,8,5,7,3,4,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,6,3,5,1,7,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,4,6,7,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,8,6,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,4,8,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,4,6,8,2,7,3]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,5,4,6,7,1,8,3]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[2,4,6,3,7,5,8,1]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[4,1,6,3,8,5,7,2]=>[8,2,6,4,7,3,5,1]=>[1,7,3,5,2,6,4,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[3,7,4,2,8,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,4,1,3,5,8,6,2]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[6,5,8,4,1,7,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,7,4,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,4,8,3,7,6,5]=>[2,1,5,8,3,7,6,4]=>[7,8,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]
[7,4,3,8,2,1,6,5]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,3,7,4,1,8,2,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,1,2,5,7,6,4]=>[8,4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4,8]=>[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]
[3,1,8,2,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,3,8,1,6,7,5,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,3,7,2,6,8,5,1]=>[8,4,7,2,5,6,3,1]=>[1,5,2,7,4,3,6,8]=>[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]
[4,7,2,3,8,5,6,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[2,8,1,3,6,5,7,4]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[2,7,8,5,4,3,1,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,7,1,6,3,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,8,6,7,2,4,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,3,8,7,4,2,6,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,3,8,7,2,1,6,5]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[8,3,6,1,4,2,7,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,3,5,8,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,1,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,1,3,2,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[8,3,5,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,6,1,8,7,2,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,6,2,8,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,5,4,7,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[8,1,6,4,5,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,8,3,6,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,8,6,5,7,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,7,5,3,6,8,4]=>[2,1,8,6,5,4,7,3]=>[7,8,1,3,4,5,2,6]=>[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]
[6,7,3,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,1,4,2,5,6,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[2,7,4,1,6,5,8,3]=>[4,8,6,1,5,3,7,2]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,6,1,2,8,7,3,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[2,4,1,5,8,7,6,3]=>[3,8,1,4,7,6,5,2]=>[6,1,8,5,2,3,4,7]=>[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]
[6,4,2,1,5,8,7,3]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[8,5,2,4,6,1,7,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,5,3,2,6,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,5,3,6,8,7,4]=>[2,1,8,4,5,7,6,3]=>[7,8,1,5,4,2,3,6]=>[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]
[7,3,5,4,6,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,4,1,5,7,8,2]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[3,1,4,5,6,8,7,2]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,5,2,6,3,1,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,5,2,1,4,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,2,7,4,8,3,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,2,7,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,7,5,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,7,5,2,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,1,6,5,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,6,3,2,4,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[3,6,2,4,1,5,8,7]=>[5,6,3,4,1,2,8,7]=>[4,3,6,5,8,7,1,2]=>[[[.,[.,.]],.],[[.,.],[[.,.],.]]]
[2,6,1,3,5,4,8,7]=>[3,6,1,4,5,2,8,7]=>[6,3,8,5,4,7,1,2]=>[[[.,[.,.]],[[.,.],.]],[[.,.],.]]
[6,7,2,3,4,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,2,3,4,1,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,1,7,3,8,4,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,5,7,3,8,6,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,1,3,5,8,4,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,6,7,4,1,8,5,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,3,7,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,1,6,7,4,8,5,3]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[2,1,8,7,4,3,6,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,8,3,7,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,4,1,2,6,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[7,8,1,3,5,2,6,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,8,7,3,2,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,6,3,1,5,7,4]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[8,1,6,3,2,5,4,7]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[2,8,4,1,6,3,7,5]=>[4,8,6,1,7,3,5,2]=>[5,1,3,8,2,6,4,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,8,1,2,7,6,3,5]=>[7,8,3,4,6,5,1,2]=>[2,1,6,5,3,4,8,7]=>[[.,.],[[[.,[.,.]],.],[[.,.],.]]]
[3,8,4,2,5,7,1,6]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[6,8,3,5,2,7,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,2,8,7,1,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,2,4,8,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,1,8,7,6,5,3]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[8,4,2,1,7,5,3,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,3,1,8,6,7,5,2]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[3,1,4,8,6,5,7,2]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[7,1,6,5,4,8,2,3]=>[8,2,7,5,4,6,3,1]=>[1,7,2,4,5,3,6,8]=>[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]
[3,7,5,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,1,6,8,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,2,5,1,7,4,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,6,2,1,8,7,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,2,5,8,3,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[7,5,2,6,3,8,1,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,2,3,6,8,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,4,3,1,8,5,6,7]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[7,5,2,8,3,4,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,2,8,4,3,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[4,7,2,8,1,5,3,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[8,7,2,1,4,5,6,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,8,7,1,5,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,1,8,5,4,3,6,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,7,8,4,5,3,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,3,8,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,7,8,5,4,6,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,5,8,4,6,3,7]=>[2,1,7,8,5,6,3,4]=>[7,8,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],[.,.]]
[6,5,3,8,4,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,5,8,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,3,5,6,1,7]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,1,8,3,6,5,2,7]=>[7,2,8,4,6,5,1,3]=>[2,7,1,5,3,4,8,6]=>[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]
[3,4,8,1,7,2,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[8,4,1,3,7,2,6,5]=>[8,6,3,4,7,2,5,1]=>[1,3,6,5,2,7,4,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[4,3,8,2,5,1,7,6]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,3,8,4,2,5,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,3,8,2,5,1,6]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,1,4,8,3,5,7,6]=>[2,1,5,8,3,6,7,4]=>[7,8,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],[.,.]]
[6,8,2,4,3,5,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,2,1,4,6,5,7]=>[4,8,3,1,5,7,6,2]=>[5,1,6,8,4,2,3,7]=>[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]
[2,8,4,1,6,5,3,7]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,8,4,1,6,5,7,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,8,7,6,1,4,3,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,8,5,6,7,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,6,1,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,2,4,1,6,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[7,5,8,2,4,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,8,5,3,4,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[2,8,5,3,4,1,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,8,5,3,4,1,6,7]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,8,7,6,1,4,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,8,5,6,7,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,5,3,4,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,8,5,3,4,6,1,7]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,8,5,3,4,6,7,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,5,7,2,4,6,1,8]=>[7,5,6,4,2,3,1,8]=>[2,4,3,5,7,6,8,1]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[6,5,2,7,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,8,3,1,7,4]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,5,2,8,3,1,4,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[7,5,8,2,4,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,8,2,1,3,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,5,6,2,1,8,7,4]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]=>[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]
[3,5,7,6,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,7,2,4,1,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,5,7,2,4,6,8,1]=>[8,5,6,4,2,3,7,1]=>[1,4,3,5,7,6,2,8]=>[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]
[6,5,2,7,3,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,5,2,6,3,1,7,8]=>[6,5,3,4,2,1,7,8]=>[3,4,6,5,7,8,2,1]=>[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]
[4,1,2,3,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[6,5,2,7,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,7,4,3,8,2]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[5,1,2,8,6,4,7,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,1,6,8,7,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,5,2,8,3,7,4,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,1,2,3,8,7,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,2,3,8,6,5,7]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,2,3,8,6,7,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,1,2,3,7,6,5,8]=>[4,2,3,1,7,6,5,8]=>[5,7,6,8,2,3,4,1]=>[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]
[4,1,2,3,8,5,7,6]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[7,1,6,8,4,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,1,2,8,4,5,7,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[5,6,8,2,3,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,5,8,2,4,3,1,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[6,5,8,2,4,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,2,8,3,4,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,2,8,3,7,1,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,2,7,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,8,7,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,1,6,8,4,3,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[5,7,8,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,8,3,6,5,7,2]=>[8,2,7,4,6,5,3,1]=>[1,7,2,5,3,4,6,8]=>[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]
[4,1,8,3,6,2,7,5]=>[6,2,8,4,7,1,5,3]=>[3,7,1,5,2,8,4,6]=>[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]
[3,1,4,8,6,2,7,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,1,4,8,6,5,2,7]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[7,1,6,5,8,3,2,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,6,7,8,3,2,5]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[4,1,6,5,7,3,2,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,5,2,6,3,7,1,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[4,5,2,7,3,8,1,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,5,6,2,4,8,7,1]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[3,5,6,2,4,8,1,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[3,7,5,6,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,6,5,2,8,1,7,4]=>[6,8,4,3,7,1,5,2]=>[3,1,5,6,2,8,4,7]=>[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]
[6,1,2,5,8,4,7,3]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[7,1,6,5,8,3,4,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,2,6,3,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,1,2,3,5,8,7,6]=>[4,2,3,1,5,8,7,6]=>[5,7,6,8,4,1,2,3]=>[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]
[4,1,2,3,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[4,5,2,7,3,8,6,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[4,1,6,7,8,3,5,2]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[4,1,2,6,8,5,7,3]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[4,1,2,5,6,8,7,3]=>[8,2,3,4,5,7,6,1]=>[1,7,6,5,4,2,3,8]=>[.,[[[[[.,[.,.]],.],.],.],[.,.]]]
[4,5,2,6,3,7,8,1]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,8,5,6,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,2,1,5,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,1,6,5,3,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,4,1,2,5,7,3,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[2,4,8,1,5,7,3,6]=>[4,7,8,1,5,6,2,3]=>[5,2,1,8,4,3,7,6]=>[[[.,.],[[.,.],.]],[[[.,.],.],.]]
[4,3,8,1,7,2,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[6,3,1,4,7,2,5,8]=>[7,6,3,4,5,2,1,8]=>[2,3,6,5,4,7,8,1]=>[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]
[7,8,3,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,3,5,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,4,1,2,3,6,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,8,3,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,1,5,3,4,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,8,2,6,4,1,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,2,5,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,6,5,4,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,8,7,5,4,3,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[1,3,8,2,6,4,7,5]=>[1,4,8,2,7,6,5,3]=>[8,5,1,7,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]
[5,3,7,1,6,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,3,6,2,7,4,1,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,1,2,5,8,7,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[6,3,1,8,4,2,7,5]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,4,2,1,5,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,4,3,7,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,3,8,7,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,7,1,5,3,6,8]=>[4,6,7,1,5,2,3,8]=>[5,3,2,8,4,7,6,1]=>[[[[.,.],.],[.,.]],[[[.,.],.],.]]
[1,3,7,6,4,2,8,5]=>[1,6,8,5,4,2,7,3]=>[8,3,1,4,5,7,2,6]=>[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]
[2,1,7,5,6,8,4,3]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[3,7,2,8,6,4,1,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,8,1,7,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[1,8,5,7,3,6,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,5,8,3,6,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[1,5,6,8,2,4,7,3]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[2,6,8,5,3,1,4,7]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[5,6,7,3,8,4,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,2,8,1,4,7,3,6]=>[7,4,8,2,5,6,1,3]=>[2,5,1,7,4,3,8,6]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[4,6,7,5,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,5,6,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,5,8,6,2,7,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,5,8,3,2,7,4]=>[1,8,6,7,5,3,4,2]=>[8,1,3,2,4,6,5,7]=>[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]
[4,6,5,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,5,6,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,1,6,3,4,2,8,7]=>[6,2,5,4,3,1,8,7]=>[3,7,4,5,6,8,1,2]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[5,7,1,4,2,3,8,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[5,7,6,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,3,4,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,2,4,1,8,3,7,5]=>[8,4,6,2,7,3,5,1]=>[1,5,3,7,2,6,4,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,2,3,5,4,8,1,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[1,6,2,4,7,8,3,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[5,7,2,4,1,6,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,1,4,2,8,5,3,7]=>[7,2,6,4,8,3,1,5]=>[2,7,3,5,1,6,8,4]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[6,7,5,8,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,1,7,2,6,5,3,8]=>[7,2,6,4,5,3,1,8]=>[2,7,3,5,4,6,8,1]=>[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]
[4,8,2,1,5,6,3,7]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[4,2,7,8,1,6,3,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[2,1,8,7,6,5,3,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[3,1,4,7,8,2,6,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[3,1,7,4,5,6,8,2]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[4,2,7,1,6,3,8,5]=>[6,4,8,2,5,1,7,3]=>[3,5,1,7,4,8,2,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,3,7,5,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,8,6,3,5,7,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,1,2,5,3,7,6]=>[6,8,3,4,5,1,7,2]=>[3,1,6,5,4,8,2,7]=>[[.,[.,.]],[[[.,.],.],[[.,.],.]]]
[3,8,6,5,2,4,1,7]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,8,5,6,1,4,7,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,3,7,8,2,1,6,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,2,8,7,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,6,8,7,5,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,7,8,5,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,6,8,5,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,8,5,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,1,8,6,2,3,5,7]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,7,8,6,3,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,6,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,1,7,6,5,3,4,8]=>[2,1,7,6,5,4,3,8]=>[7,8,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]
[2,8,1,6,4,5,3,7]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]=>[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]
[2,8,7,5,1,4,3,6]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,8,6,7,5,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,7,8,6,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,3,1,2,7,4,8,5]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[6,4,2,7,1,3,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,4,2,5,1,3,8,6]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,5,3,6,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,3,6,1,7,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,6,2,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,6,2,4,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[3,6,2,7,1,4,8,5]=>[5,8,3,6,1,4,7,2]=>[4,1,6,3,8,5,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[5,3,6,7,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,4,1,2,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,7,1,5,2,3,8,6]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,7,5,1,2,4,8,6]=>[5,8,6,4,1,3,7,2]=>[4,1,3,5,8,6,2,7]=>[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]
[7,6,4,2,3,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,6,4,2,3,7,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,6,3,8,1,2,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[5,7,4,2,3,8,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,7,6,1,4,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,7,2,6,1,8,3,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,4,8,5,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,2,6,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,6,1,2,7,4,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[3,8,6,2,4,7,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,8,4,3,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,5,3,7,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,5,7,1,2,4,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,8,5,7,1,3,4,6]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[4,8,6,2,7,1,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[7,3,8,5,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,5,8,1,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,5,8,1,3,4,7]=>[5,7,6,8,1,3,2,4]=>[4,2,3,1,8,6,7,5]=>[[[.,.],[.,.]],[[[.,.],[.,.]],.]]
[3,6,5,8,1,2,4,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[5,4,6,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,6,3,7,1,8,2,5]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[3,5,7,1,4,8,2,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[5,3,7,2,4,8,1,6]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[7,4,6,3,8,1,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,6,3,7,1,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,4,1,6,7,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,1,6,8,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,4,1,7,8,2,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[6,5,3,7,1,8,2,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,1,2,7,8,3,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[5,3,6,4,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,3,7,4,8,5,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,7,1,5,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,5,1,2,8,6,3,4]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[7,5,3,8,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,8,6,2,3,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,1,8,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,6,1,7,5,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,7,2,8,1,6,3,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,4,7,8,2,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,3,7,8,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,4,8,7,1,3,5,6]=>[5,6,8,7,1,2,4,3]=>[4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]
[4,3,8,7,1,2,5,6]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]=>[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]
[5,3,8,7,1,2,4,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[8,3,7,6,1,2,4,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[8,4,7,6,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,8,7,1,2,3,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,5,8,7,1,2,4,6]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]
[2,5,8,7,1,3,4,6]=>[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[4,6,8,2,7,1,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[4,7,1,8,6,2,3,5]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[7,5,8,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,4,7,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,7,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,8,7,6,1,3,4,5]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[3,8,7,6,1,2,4,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,8,7,6,1,2,3,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,6,3,1,4,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,5,3,8,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,8,7,4,5,1,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,1,4,5,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,1,7,8,5,3,6,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[5,7,3,8,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,1,4,5,3,2,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,7,8,4,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[7,1,8,4,2,6,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,1,4,8,6,3,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,3,1,8,4,7,2]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,8,1,5,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[8,6,3,1,2,5,7,4]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,1,4,2,6,5,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,3,8,4,1,6,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]=>[2,8,7,6,5,4,3,9,1]=>[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]
[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]=>[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]
[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]=>[3,8,7,6,5,4,9,2,1]=>[[[.,.],.],[[[[[.,.],.],.],.],[.,.]]]
[3,6,4,5,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[5,3,2,7,4,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,5,3,6,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,2,5,1,8,4,7]=>[7,5,3,4,2,8,1,6]=>[2,4,6,5,7,1,8,3]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,5,3,6,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,2,6,3,4,7,1,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,6,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,2,7,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,6,2,7,4,5,8,1]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[4,2,5,7,3,6,8,1]=>[8,5,3,6,2,4,7,1]=>[1,4,6,3,7,5,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[5,4,7,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,5,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,7,6,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[2,7,6,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,1,2,8,4,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[8,6,5,2,3,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,2,1,7,3,4,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,2,1,8,3,4,6]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,7,3,1,2,8,4,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[5,6,2,3,1,8,4,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[4,2,6,5,1,8,3,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[5,4,8,6,2,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,5,2,7,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,5,2,3,6,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,1,7,3,4,5]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,8,6,3,7,2,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,2,7,3,4,5,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[2,8,1,7,3,4,5,6]=>[3,8,1,7,5,6,4,2]=>[6,1,8,2,4,3,5,7]=>[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]
[4,8,1,5,7,2,3,6]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[4,2,8,3,7,1,5,6]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[4,1,7,5,8,2,3,6]=>[7,2,8,6,5,4,1,3]=>[2,7,1,3,4,5,8,6]=>[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]
[1,7,3,8,2,4,5,6]=>[1,8,5,7,3,6,4,2]=>[8,1,4,2,6,3,5,7]=>[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]
[8,1,2,7,3,4,5,6]=>[8,2,3,7,5,6,4,1]=>[1,7,6,2,4,3,5,8]=>[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]
[4,2,5,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[3,6,2,7,1,8,4,5]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]=>[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]
[6,3,7,1,2,8,4,5]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[7,2,6,1,8,3,4,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[8,2,6,1,7,3,4,5]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,3,1,5,8,2,4,6]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,4,6,3,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[3,6,4,5,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[6,5,3,4,8,7,1,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[5,3,2,8,7,1,4,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[5,3,1,8,7,2,4,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[8,5,3,7,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,8,3,7,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[6,3,8,1,7,2,4,5]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[7,6,8,2,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,2,4,6,1,5]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[6,7,3,8,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,4,7,8,2,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,2,5,8,7,1,3,6]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[3,6,2,8,7,1,4,5]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[2,3,8,7,1,4,5,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[7,2,8,6,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[2,1,8,7,3,4,5,6]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,2,7,6,1,3,4,5]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,2,8,7,3,4,5,6]=>[1,2,8,7,5,6,4,3]=>[8,7,1,2,4,3,5,6]=>[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]
[1,3,8,7,2,4,5,6]=>[1,5,8,7,2,6,4,3]=>[8,4,1,2,7,3,5,6]=>[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]
[1,7,8,3,6,2,4,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,1,5,8,7,2,3,6]=>[7,2,6,8,5,3,1,4]=>[2,7,3,1,4,6,8,5]=>[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]
[5,4,8,7,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,3,7,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,6,2,5,1,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,6,7,3,2,5,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,6,7,3,2,4,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,5,3,7,2,4,6]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,5,3,6,2,4,7]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,1,3,6,2,4,8]=>[7,6,3,5,4,2,1,8]=>[2,3,6,4,5,7,8,1]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,5,8,3,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,3,2,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,1,3,2,6,5,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[8,1,5,4,6,7,2,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,1,5,3,6,2,7,4]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,4,1,3,2,5,6,8]=>[7,5,3,4,2,6,1,8]=>[2,4,6,5,7,3,8,1]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[7,4,8,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,8,2,5,7,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[6,4,3,1,2,5,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[7,4,1,3,2,5,8,6]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,4,1,3,2,6,8,5]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,5,1,3,6,2,8,4]=>[8,6,3,5,4,2,7,1]=>[1,3,6,4,5,7,2,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,5,1,4,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[7,5,8,3,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,3,2,6,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,3,8,2,5,1,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[6,4,3,7,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,4,3,2,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,4,3,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[6,5,3,8,7,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,8,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,1,7,8,2,3]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,5,3,1,7,2,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,1,2,7,8,5]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[5,4,3,2,1,8,6,7]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[6,5,3,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,5,4,1,8,7,2,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[7,5,1,4,8,6,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,4,1,3,2,8,6,5]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[7,4,1,3,2,8,5,6]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,4,3,1,2,8,5,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,4,3,1,2,7,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[6,4,3,8,2,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,3,8,7,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,3,1,7,2,4,8]=>[7,6,4,3,5,2,1,8]=>[2,3,5,6,4,7,8,1]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[6,5,3,1,8,2,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[7,5,1,3,8,2,4,6]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,1,8,3,2,4,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,1,8,4,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,8,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,6,8,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,5,3,7,8,2,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,3,7,2,8,5,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,4,3,7,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,8,3,2,1,5,6]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,4,8,3,2,1,6,5]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[7,5,8,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,4,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[5,4,3,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[6,4,3,7,2,1,8,5]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,1,2,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,3,7,8,2,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,4,3,7,2,8,1,5]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,3,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,6,2,1,3,4,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[5,8,2,7,4,1,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,3,7,8,2,1,4,6]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[7,6,1,2,5,8,3,4]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[2,1,7,8,4,3,5,6]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,3,7,4,1,5,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,2,5,4,6,3]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[2,6,8,3,1,4,7,5]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]=>[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]
[6,1,8,3,2,4,5,7]=>[7,2,8,5,4,6,1,3]=>[2,7,1,4,5,3,8,6]=>[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]
[8,4,1,3,7,6,2,5]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,8,7,4,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,5,1,6,8,3,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,5,2,1,8,7,4,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,7,2,8,1,3,6,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[7,3,8,6,1,2,5,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,4,7,1,8,2,6,5]=>[6,4,8,2,7,1,5,3]=>[3,5,1,7,2,8,4,6]=>[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]
[1,8,2,4,3,5,6,7]=>[1,8,3,5,4,6,7,2]=>[8,1,6,4,5,3,2,7]=>[[.,[[[[.,.],.],[.,.]],[.,.]]],.]
[1,7,2,4,3,5,6,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,7,2,5,3,4,6,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,8,2,5,3,4,6,7]=>[1,8,3,6,5,4,7,2]=>[8,1,6,3,4,5,2,7]=>[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]
[1,8,2,6,3,4,5,7]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,7,2,6,3,4,5,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,8,2,7,3,5,4,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,7,2,8,3,5,4,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,6,2,8,3,5,4,7]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,5,2,8,3,6,4,7]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,4,2,8,3,6,5,7]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,3,2,8,4,6,5,7]=>[1,3,2,8,5,7,6,4]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,2,3,8,4,6,5,7]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[1,4,2,7,3,6,5,8]=>[1,5,3,7,2,6,4,8]=>[8,4,6,2,7,3,5,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,5,2,7,3,6,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,6,2,7,3,5,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,7,2,6,3,5,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,8,2,6,3,5,4,7]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,8,2,5,3,6,4,7]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,7,2,5,3,6,4,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[1,6,2,5,3,7,4,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,5,2,4,3,7,6,8]=>[1,5,3,4,2,7,6,8]=>[8,4,6,5,7,2,3,1]=>[[[[.,.],[.,.]],[[.,.],[.,.]]],.]
[1,6,2,4,3,7,5,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,7,2,4,3,6,5,8]=>[1,7,3,5,4,6,2,8]=>[8,2,6,4,5,3,7,1]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,8,2,4,3,6,5,7]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,7,2,3,4,6,5,8]=>[1,7,3,4,5,6,2,8]=>[8,2,6,5,4,3,7,1]=>[[[.,.],[[[[.,.],.],.],[.,.]]],.]
[1,8,2,4,3,7,5,6]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,7,2,4,3,8,5,6]=>[1,8,3,5,4,7,6,2]=>[8,1,6,4,5,2,3,7]=>[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]
[1,6,2,4,3,8,5,7]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,5,2,4,3,8,6,7]=>[1,5,3,4,2,8,7,6]=>[8,4,6,5,7,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,6,2,5,3,8,4,7]=>[1,7,3,5,4,8,2,6]=>[8,2,6,4,5,1,7,3]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,7,2,5,3,8,4,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,8,2,5,3,7,4,6]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,8,2,6,3,7,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,7,2,6,3,8,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,2,3,8,4,7,5,6]=>[1,2,3,8,5,7,6,4]=>[8,7,6,1,4,2,3,5]=>[[[[.,[[.,[.,.]],[.,.]]],.],.],.]
[1,3,2,8,4,7,5,6]=>[1,3,2,8,5,7,6,4]=>[8,6,7,1,4,2,3,5]=>[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]
[1,4,2,8,3,7,5,6]=>[1,5,3,8,2,7,6,4]=>[8,4,6,1,7,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]
[1,5,2,8,3,7,4,6]=>[1,7,3,8,5,6,2,4]=>[8,2,6,1,4,3,7,5]=>[[[.,.],[[[.,.],[.,.]],[.,.]]],.]
[1,6,2,8,3,7,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,7,2,8,3,6,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[1,8,2,7,3,6,4,5]=>[1,8,3,7,5,6,4,2]=>[8,1,6,2,4,3,5,7]=>[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]
[4,6,3,7,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,3,7,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[4,6,3,8,5,1,7,2]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,6,3,8,5,1,2,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,8,3,4,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,8,3,4,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,2,7,5,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,7,2,4,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[5,6,8,4,3,1,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,8,4,3,1,2,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,8,4,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,4,1,6,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,4,1,3,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,6,8,4,2,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,6,8,2,4,1,7,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[4,6,2,8,5,1,7,3]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[3,2,6,8,5,1,7,4]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[3,2,6,8,5,1,4,7]=>[6,2,7,8,5,1,3,4]=>[3,7,2,1,4,8,6,5]=>[[[.,.],.],[[.,[[.,.],.]],[.,.]]]
[4,6,2,8,5,1,3,7]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]=>[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]
[5,6,8,2,4,1,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,6,8,4,2,1,3,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[5,7,8,4,1,3,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,8,4,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,4,1,2,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,8,1,5,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,5,2,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,3,5,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,2,1,6,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,8,1,6,3,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,2,7,8,1,6,4,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,7,8,1,6,5,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[4,7,2,8,1,6,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,7,8,2,1,6,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,7,8,1,3,5,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,5,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,5,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,5,4,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,3,4,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,2,1,4,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,8,1,5,6,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,2,7,8,1,5,6,4]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[3,2,6,8,4,1,7,5]=>[6,2,8,7,5,1,4,3]=>[3,7,1,2,4,8,5,6]=>[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]
[4,6,2,8,3,1,7,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,6,8,3,2,1,7,4]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[5,7,8,3,1,4,6,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,3,1,6,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,3,8,1,6,2,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,8,1,6,5,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,7,3,8,1,5,6,2]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[4,6,3,8,2,1,7,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,5,3,2,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,5,2,3,8,1,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,5,3,2,8,1,6,7]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,6,3,8,2,1,5,7]=>[6,7,5,8,3,1,2,4]=>[3,2,4,1,6,8,7,5]=>[[[.,.],.],[.,[[.,.],[[.,.],.]]]]
[4,7,3,8,1,5,2,6]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[4,7,3,8,1,2,6,5]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[4,7,3,8,1,2,5,6]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]=>[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]
[5,7,8,3,1,2,4,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,7,8,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,7,8,3,1,4,2,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[5,6,8,3,2,1,4,7]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]=>[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]
[3,2,7,8,1,5,4,6]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[5,7,8,2,1,4,3,6]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[6,7,8,1,3,4,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,2,5,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,2,5,4,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,2,4,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,3,2,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,8,2,1,3,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,2,7,8,1,4,6,5]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]=>[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]
[6,7,8,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,8,1,2,3,5,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,2,8,5,1,6,4,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[1,3,7,5,2,6,4,8]=>[1,5,7,6,2,4,3,8]=>[8,4,2,3,7,5,6,1]=>[[[[.,.],[.,.]],[[.,[.,.]],.]],.]
[7,2,8,5,4,1,6,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[2,8,5,4,3,1,7,6]=>[6,8,5,4,3,1,7,2]=>[3,1,4,5,6,8,2,7]=>[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]
[2,8,6,5,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,8,4,5,3,7,1,6]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[2,8,4,3,5,6,1,7]=>[7,8,4,3,5,6,1,2]=>[2,1,5,6,4,3,8,7]=>[[.,.],[[[.,.],.],[.,[[.,.],.]]]]
[7,2,8,4,5,6,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,6,3,7,5,2,4,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[6,2,3,8,5,1,7,4]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[6,3,2,8,5,1,4,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[7,4,8,2,5,6,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,4,8,5,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,8,5,1,3,7,2]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,3,7,5,2,1,8,4]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[4,3,7,5,1,2,8,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[4,3,7,1,5,6,8,2]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[3,6,1,7,5,2,8,4]=>[6,8,3,5,4,1,7,2]=>[3,1,6,4,5,8,2,7]=>[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]
[3,4,1,2,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,4,2,1,7,5,8,6]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,6,5,7,1,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,2,7,4,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,5,2,6,4,8,7,1]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[5,3,1,8,6,4,7,2]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[5,6,1,8,7,2,4,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,3,5,8,2,7,4,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,5,8,4,2,3,7,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,2,5,8,3,7,1,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,6,5,7,3,4,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]
[1,5,2,7,4,6,3,8]=>[1,7,3,6,5,4,2,8]=>[8,2,6,3,4,5,7,1]=>[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]
[5,2,1,8,7,6,3,4]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[7,1,3,8,4,6,2,5]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[2,3,4,8,6,1,7,5]=>[6,2,3,8,7,1,5,4]=>[3,7,6,1,2,8,4,5]=>[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]
[2,3,4,8,6,5,1,7]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[2,7,3,5,8,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[3,2,4,7,8,6,1,5]=>[7,2,3,8,6,5,1,4]=>[2,7,6,1,3,4,8,5]=>[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]
[5,2,4,7,1,8,3,6]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]=>[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]
[5,3,6,4,1,8,7,2]=>[8,5,4,3,2,7,6,1]=>[1,4,5,6,7,2,3,8]=>[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]
[5,3,6,1,4,8,2,7]=>[7,5,4,3,2,8,1,6]=>[2,4,5,6,7,1,8,3]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,3,5,6,8,4,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,5,1,8,2,7,4]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,6,1,5,8,4,7,3]=>[3,8,1,6,7,4,5,2]=>[6,1,8,3,2,5,4,7]=>[[.,[[.,.],[[.,.],.]]],[[.,.],.]]
[2,7,6,5,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,7,1,6,3,8,4,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[3,2,4,1,7,8,5,6]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[3,1,4,2,7,8,6,5]=>[4,2,3,1,8,7,6,5]=>[5,7,6,8,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[5,1,4,7,2,8,6,3]=>[8,2,5,7,3,6,4,1]=>[1,7,4,2,6,3,5,8]=>[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]
[3,6,4,7,8,2,5,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,1,4,6,8,5,7,2]=>[8,2,3,6,7,4,5,1]=>[1,7,6,3,2,5,4,8]=>[.,[[[[.,.],[[.,.],.]],.],[.,.]]]
[6,3,4,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[2,5,4,6,1,7,8,3]=>[5,8,3,4,1,6,7,2]=>[4,1,6,5,8,3,2,7]=>[[.,[[.,.],.]],[[.,.],[[.,.],.]]]
[7,3,4,1,2,6,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,4,3,2,1,6,5,8]=>[7,5,4,3,2,6,1,8]=>[2,4,5,6,7,3,8,1]=>[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]
[7,6,3,2,5,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[6,7,3,2,5,4,8,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[7,3,5,1,6,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,3,6,1,5,4,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[7,4,6,5,1,3,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]
[1,8,6,4,3,7,2,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,5,7,4,3,1,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,4,7,5,1,3,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,3,7,1,5,4,8,2]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[3,2,1,8,5,4,7,6]=>[3,2,1,8,6,5,7,4]=>[6,7,8,1,3,4,2,5]=>[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]
[2,4,8,5,1,3,7,6]=>[5,6,8,4,1,2,7,3]=>[4,3,1,5,8,7,2,6]=>[[[.,[.,.]],.],[.,[[[.,.],.],.]]]
[2,5,8,4,3,1,7,6]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[2,6,8,4,3,7,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,7,8,4,3,6,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,4,3,6,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,7,5,6,3,4,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[2,7,8,5,6,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[2,6,8,5,7,3,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,5,8,6,7,1,3,4]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,4,8,6,1,7,3,5]=>[5,7,8,6,1,4,2,3]=>[4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]
[3,2,1,8,6,7,4,5]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]=>[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]
[5,3,7,1,6,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,4,7,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[4,5,7,6,8,1,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,7,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,6,5,7,3,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,5,6,7,2,3,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,7,5,6,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,6,5,7,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,4,6,7,1,8,2,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,3,6,1,7,8,2,4]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,3,5,1,7,2,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,5,7,1,2,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[6,5,4,7,2,1,8,3]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]=>[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]
[5,6,4,7,2,8,1,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[1,8,4,6,2,7,3,5]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[5,7,3,2,6,8,4,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[5,6,3,2,7,8,1,4]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,5,3,2,7,1,8,4]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[6,4,3,2,1,7,8,5]=>[8,5,4,3,2,6,7,1]=>[1,4,5,6,7,3,2,8]=>[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]
[6,2,1,4,3,7,8,5]=>[8,3,2,5,4,6,7,1]=>[1,6,7,4,5,3,2,8]=>[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]
[5,2,1,4,3,8,7,6]=>[5,3,2,4,1,8,7,6]=>[4,6,7,5,8,1,2,3]=>[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]
[5,3,4,1,2,8,7,6]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]=>[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]
[4,6,3,2,8,7,1,5]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]=>[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]
[4,7,3,2,8,6,5,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,8,4,7,2,6,5,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,7,4,8,2,6,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[3,6,4,8,2,7,1,5]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]
[3,5,4,8,2,1,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[3,4,5,8,1,2,7,6]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[4,3,5,1,8,2,7,6]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]=>[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]
[4,2,1,6,8,7,3,5]=>[7,3,2,8,6,5,1,4]=>[2,6,7,1,3,4,8,5]=>[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]
[4,3,6,1,8,7,2,5]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]=>[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]
[3,4,6,8,1,7,2,5]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]=>[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]
[3,5,6,8,7,1,2,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,6,5,8,7,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,5,8,6,2,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,5,7,6,2,4,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,6,7,5,4,2,3]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[3,6,7,8,5,4,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,5,7,8,6,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,4,7,8,1,6,5,2]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[4,2,1,7,8,6,5,3]=>[8,3,2,7,6,5,4,1]=>[1,6,7,2,3,4,5,8]=>[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]
[2,3,8,1,7,6,5,4]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]=>[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]
[2,4,8,7,1,6,5,3]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]
[2,5,8,7,6,1,4,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[2,6,8,7,5,4,1,3]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]
[2,1,4,3,6,5,8,7,12,11,10,9]=>[2,1,4,3,6,5,8,7,12,11,10,9]=>[11,12,9,10,7,8,5,6,1,2,3,4]=>[[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]],[.,.]]
[2,1,4,3,6,5,10,9,8,7,12,11]=>[2,1,4,3,6,5,10,9,8,7,12,11]=>[11,12,9,10,7,8,3,4,5,6,1,2]=>[[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]],[.,.]]
[2,1,4,3,6,5,12,11,10,9,8,7]=>[2,1,4,3,6,5,12,11,10,9,8,7]=>[11,12,9,10,7,8,1,2,3,4,5,6]=>[[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]],[.,.]]
[2,1,4,3,8,7,6,5,10,9,12,11]=>[2,1,4,3,8,7,6,5,10,9,12,11]=>[11,12,9,10,5,6,7,8,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,3,8,7,6,5,12,11,10,9]=>[2,1,4,3,8,7,6,5,12,11,10,9]=>[11,12,9,10,5,6,7,8,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]],[.,.]]
[2,1,4,3,10,9,8,7,6,5,12,11]=>[2,1,4,3,10,9,8,7,6,5,12,11]=>[11,12,9,10,3,4,5,6,7,8,1,2]=>[[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,.]]
[2,1,4,3,12,11,8,7,10,9,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[11,12,9,10,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],[.,.]]
[2,1,4,3,12,11,10,9,8,7,6,5]=>[2,1,4,3,12,11,10,9,8,7,6,5]=>[11,12,9,10,1,2,3,4,5,6,7,8]=>[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]],[.,.]]
[2,1,6,5,4,3,8,7,10,9,12,11]=>[2,1,6,5,4,3,8,7,10,9,12,11]=>[11,12,7,8,9,10,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,6,5,4,3,8,7,12,11,10,9]=>[2,1,6,5,4,3,8,7,12,11,10,9]=>[11,12,7,8,9,10,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]],[.,.]]
[2,1,6,5,4,3,10,9,8,7,12,11]=>[2,1,6,5,4,3,10,9,8,7,12,11]=>[11,12,7,8,9,10,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,.]]
[2,1,6,5,4,3,12,11,10,9,8,7]=>[2,1,6,5,4,3,12,11,10,9,8,7]=>[11,12,7,8,9,10,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]],[.,.]]
[2,1,8,7,6,5,4,3,10,9,12,11]=>[2,1,8,7,6,5,4,3,10,9,12,11]=>[11,12,5,6,7,8,9,10,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,7,6,5,4,3,12,11,10,9]=>[2,1,8,7,6,5,4,3,12,11,10,9]=>[11,12,5,6,7,8,9,10,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,10,9,6,5,8,7,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[11,12,3,4,5,6,7,8,9,10,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[2,1,12,11,6,5,8,7,10,9,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[2,1,12,11,6,5,10,9,8,7,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[2,1,10,9,8,7,6,5,4,3,12,11]=>[2,1,10,9,8,7,6,5,4,3,12,11]=>[11,12,3,4,5,6,7,8,9,10,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]
[2,1,12,11,8,7,6,5,10,9,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[2,1,12,11,10,7,6,9,8,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[2,1,12,11,10,9,8,7,6,5,4,3]=>[2,1,12,11,10,9,8,7,6,5,4,3]=>[11,12,1,2,3,4,5,6,7,8,9,10]=>[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],[.,.]]
[4,3,2,1,6,5,8,7,10,9,12,11]=>[4,3,2,1,6,5,8,7,10,9,12,11]=>[9,10,11,12,7,8,5,6,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,6,5,8,7,12,11,10,9]=>[4,3,2,1,6,5,8,7,12,11,10,9]=>[9,10,11,12,7,8,5,6,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,6,5,10,9,8,7,12,11]=>[4,3,2,1,6,5,10,9,8,7,12,11]=>[9,10,11,12,7,8,3,4,5,6,1,2]=>[[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,6,5,12,11,10,9,8,7]=>[4,3,2,1,6,5,12,11,10,9,8,7]=>[9,10,11,12,7,8,1,2,3,4,5,6]=>[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],[.,[.,[.,.]]]]
[4,3,2,1,8,7,6,5,10,9,12,11]=>[4,3,2,1,8,7,6,5,10,9,12,11]=>[9,10,11,12,5,6,7,8,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,1,8,7,6,5,12,11,10,9]=>[4,3,2,1,8,7,6,5,12,11,10,9]=>[9,10,11,12,5,6,7,8,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]],[.,[.,[.,.]]]]
[4,3,2,1,10,9,8,7,6,5,12,11]=>[4,3,2,1,10,9,8,7,6,5,12,11]=>[9,10,11,12,3,4,5,6,7,8,1,2]=>[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]
[4,3,2,1,12,11,8,7,10,9,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[9,10,11,12,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,[.,[.,.]]]]
[4,3,2,1,12,11,10,9,8,7,6,5]=>[4,3,2,1,12,11,10,9,8,7,6,5]=>[9,10,11,12,1,2,3,4,5,6,7,8]=>[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,[.,[.,.]]]]
[6,5,4,3,2,1,8,7,10,9,12,11]=>[6,5,4,3,2,1,8,7,10,9,12,11]=>[7,8,9,10,11,12,5,6,3,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,2,1,8,7,12,11,10,9]=>[6,5,4,3,2,1,8,7,12,11,10,9]=>[7,8,9,10,11,12,5,6,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,2,1,10,9,8,7,12,11]=>[6,5,4,3,2,1,10,9,8,7,12,11]=>[7,8,9,10,11,12,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,3,2,1,12,11,10,9,8,7]=>[6,5,4,3,2,1,12,11,10,9,8,7]=>[7,8,9,10,11,12,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,[.,[.,.]]]]]]
[8,7,4,3,6,5,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[5,6,7,8,9,10,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,6,5,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[5,6,7,8,9,10,11,12,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,9,4,3,6,5,8,7,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,4,3,6,5,8,7,10,9,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,4,3,6,5,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,4,3,8,7,6,5,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,4,3,8,7,6,5,10,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,4,3,10,7,6,9,8,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,4,3,10,9,8,7,6,5,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[8,7,6,5,4,3,2,1,10,9,12,11]=>[8,7,6,5,4,3,2,1,10,9,12,11]=>[5,6,7,8,9,10,11,12,3,4,1,2]=>[[[.,[.,.]],[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,3,2,1,12,11,10,9]=>[8,7,6,5,4,3,2,1,12,11,10,9]=>[5,6,7,8,9,10,11,12,1,2,3,4]=>[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[10,9,6,5,4,3,8,7,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,6,5,4,3,8,7,10,9,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,6,5,4,3,10,9,8,7,2,1]=>[12,11,10,9,6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6,9,10,11,12]=>[.,[.,[.,[.,[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,9,8,5,4,7,6,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,8,5,4,7,6,3,10,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,5,4,7,6,9,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,5,4,9,8,7,6,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[10,9,8,7,6,5,4,3,2,1,12,11]=>[10,9,8,7,6,5,4,3,2,1,12,11]=>[3,4,5,6,7,8,9,10,11,12,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[12,11,8,7,6,5,4,3,10,9,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,7,6,5,4,9,8,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,6,5,8,7,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[12,11,10,9,8,7,6,5,4,3,2,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11,12]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]]]
[7,4,6,1,8,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,1,7,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,4,1,7,5,6,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,8,3,1,7,5,6,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,6,2,1,7,5,8,3]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[1,4,6,2,7,5,8,3]=>[1,8,6,4,5,3,7,2]=>[8,1,3,5,4,6,2,7]=>[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]
[1,7,5,2,6,8,4,3]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,5,2,1,6,8,4,3]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[6,8,4,3,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,8,4,1,7,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,6,7,5,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[7,5,6,1,8,3,4,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[3,4,6,5,7,1,8,2]=>[8,6,4,3,5,2,7,1]=>[1,3,5,6,4,7,2,8]=>[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]
[4,7,5,6,1,8,3,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,7,5,1,8,4,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,4,1,7,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,5,3,1,8,4,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,4,2,1,6,7,5,3]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[1,8,4,2,6,7,5,3]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[5,3,2,1,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[2,5,3,1,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[2,8,4,1,6,7,5,3]=>[4,8,7,1,6,5,3,2]=>[5,1,2,8,3,4,6,7]=>[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]
[2,4,6,1,7,5,8,3]=>[4,8,6,1,5,3,7,2]=>[5,1,3,8,4,6,2,7]=>[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]
[4,7,1,6,5,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,8,2,6,5,7,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,6,1,2,7,5,8,3]=>[8,6,3,4,5,2,7,1]=>[1,3,6,5,4,7,2,8]=>[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]
[7,5,1,2,6,8,4,3]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]=>[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]
[8,4,1,2,6,7,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[5,3,1,2,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[4,3,1,2,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[3,5,1,2,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[6,7,1,5,8,2,3,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,6,1,5,8,3,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[3,6,7,1,5,8,2,4]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]=>[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]
[7,1,6,5,8,2,4,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[7,5,1,6,8,4,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,4,1,6,7,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[5,2,3,1,7,6,8,4]=>[8,4,3,2,6,5,7,1]=>[1,5,6,7,3,4,2,8]=>[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]
[3,5,2,1,7,6,8,4]=>[4,8,3,1,6,5,7,2]=>[5,1,6,8,3,4,2,7]=>[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]
[1,7,6,2,5,8,3,4]=>[1,8,7,4,5,6,3,2]=>[8,1,2,5,4,3,6,7]=>[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]
[7,6,2,1,5,8,3,4]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[8,3,1,5,7,6,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[6,2,4,1,7,5,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[6,2,5,1,7,4,8,3]=>[8,4,6,2,5,3,7,1]=>[1,5,3,7,4,6,2,8]=>[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]
[7,1,6,4,8,2,5,3]=>[8,2,7,6,5,4,3,1]=>[1,7,2,3,4,5,6,8]=>[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]
[8,2,6,4,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[6,1,5,2,7,4,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[7,6,2,5,8,3,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,3,5,7,6,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,3,5,7,6,2,4]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[7,5,2,6,8,4,1,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,4,2,6,7,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,1,4,2,7,5,8,3]=>[8,2,6,4,5,3,7,1]=>[1,7,3,5,4,6,2,8]=>[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]
[8,2,6,5,7,1,4,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[3,6,8,2,5,7,1,4]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[8,3,2,5,7,6,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,1,3,2,7,6,8,5]=>[4,2,3,1,8,6,7,5]=>[5,7,6,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]
[4,2,1,3,7,6,8,5]=>[4,3,2,1,8,6,7,5]=>[5,6,7,8,1,3,2,4]=>[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]
[1,4,2,3,7,6,8,5]=>[1,4,3,2,8,6,7,5]=>[8,5,6,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]
[2,4,1,3,7,6,8,5]=>[3,4,1,2,8,6,7,5]=>[6,5,8,7,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[[.,.],.]]
[2,8,3,5,7,6,1,4]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]=>[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]
[6,8,2,3,5,7,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,7,1,3,5,8,2,4]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,3,5,7,6,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,1,2,4,7,6,8,5]=>[3,2,1,4,8,6,7,5]=>[6,7,8,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]
[10,8,9,5,6,7,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,8,9,4,5,6,1,2,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,5,6,9,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,7,8,4,5,9,1,2,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,7,4,5,8,1,2,3,9]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[10,7,8,3,4,9,1,2,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[10,6,7,3,4,8,1,2,5,9]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,8,10,5,6,7,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,8,10,4,5,6,1,2,3,7]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,5,6,8,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,4,5,8,1,2,3,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,10,4,5,7,1,2,3,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,7,10,3,4,8,1,2,5,6]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,10,3,4,7,1,2,5,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,7,9,5,6,10,1,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,4,5,10,1,2,3,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,4,5,10,1,2,3,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,7,9,3,4,10,1,2,5,6]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,3,4,10,1,2,5,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,6,10,5,7,8,1,2,3,4]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,10,4,7,8,1,2,3,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,5,10,4,6,7,1,2,3,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,6,10,3,7,8,1,2,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,5,10,3,6,7,1,2,4,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,9,5,7,10,1,2,3,4]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,4,7,10,1,2,3,5]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,5,9,4,6,10,1,2,3,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,6,9,3,7,10,1,2,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,5,9,3,6,10,1,2,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[9,6,10,2,7,8,1,3,4,5]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[9,5,10,2,6,7,1,3,4,8]=>[10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10]=>[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]
[8,6,9,2,7,10,1,3,4,5]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,5,9,2,6,10,1,3,4,7]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]=>[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]
[8,1,3,5,6,2,7,4]=>[8,2,6,7,5,3,4,1]=>[1,7,3,2,4,6,5,8]=>[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]
[8,1,3,2,4,5,7,6]=>[8,2,4,3,5,6,7,1]=>[1,7,5,6,4,3,2,8]=>[.,[[[[[.,.],.],.],[.,.]],[.,.]]]
[2,7,8,3,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,6,3,8,4,5,7,1]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[7,3,1,4,2,6,8,5]=>[8,5,3,4,2,6,7,1]=>[1,4,6,5,7,3,2,8]=>[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]
[7,4,1,5,6,8,2,3]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[4,7,8,5,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[3,7,8,5,6,2,1,4]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,8,4,2,6,1,5]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]
[3,7,8,2,4,5,1,6]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]=>[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]
[3,6,2,8,4,5,1,7]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]=>[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]
[2,3,6,7,4,5,8,1]=>[8,2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2,8]=>[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]
[3,5,2,4,8,6,1,7]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[3,5,4,2,8,7,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[4,6,5,8,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,4,5,1,7,8,2,3]=>[8,7,4,3,5,6,2,1]=>[1,2,5,6,4,3,7,8]=>[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]
[7,4,1,2,3,8,5,6]=>[8,5,3,4,2,7,6,1]=>[1,4,6,5,7,2,3,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[6,2,4,1,3,7,5,8]=>[7,4,5,2,3,6,1,8]=>[2,5,4,7,6,3,8,1]=>[[.,.],[[[.,.],.],[[.,.],[.,.]]]]
[2,6,4,8,3,7,5,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[2,6,5,8,7,3,4,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,5,2,1,8,3,4,7]=>[7,6,4,3,8,2,1,5]=>[2,3,5,6,1,7,8,4]=>[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]
[2,5,6,7,8,3,4,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[2,4,6,7,3,8,5,1]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]=>[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]
[4,2,6,7,3,1,5,8]=>[6,5,7,4,2,1,3,8]=>[3,4,2,5,7,8,6,1]=>[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]
[4,7,8,2,3,1,5,6]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[4,7,8,3,2,1,6,5]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]
[5,6,4,8,1,7,2,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[5,6,3,8,1,2,7,4]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]=>[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]
[4,2,5,3,7,1,6,8]=>[6,4,3,2,7,1,5,8]=>[3,5,6,7,2,8,4,1]=>[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]
[4,3,6,7,2,1,8,5]=>[6,5,8,4,2,1,7,3]=>[3,4,1,5,7,8,2,6]=>[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]
[3,4,6,7,2,8,1,5]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]=>[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]
[3,4,5,2,7,8,1,6]=>[7,4,3,2,8,6,1,5]=>[2,5,6,7,1,3,8,4]=>[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]
[5,2,7,8,6,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,1,2,7,8,6,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[4,7,1,8,6,5,2,3]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,7,1,2,8,6,5,3]=>[8,7,3,4,6,5,2,1]=>[1,2,6,5,3,4,7,8]=>[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]
[4,6,8,1,2,7,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,7,1,5,3,2,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,7,3,5,1,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,8,1,6,3,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,1,3,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[7,8,3,6,5,2,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,7,2,8,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,7,3,4,8,6,5,2]=>[1,8,7,4,6,5,3,2]=>[8,1,2,5,3,4,6,7]=>[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]
[4,2,7,1,8,6,5,3]=>[8,4,7,2,6,5,3,1]=>[1,5,2,7,3,4,6,8]=>[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]
[7,8,2,3,6,5,1,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,1,6,2,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,1,2,6,3,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,8,2,7,1,3,5,4]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[6,8,7,2,5,3,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,2,4,8,7,1,5,3]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]
[1,6,8,3,7,4,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,8,3,4,7,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,2,4,8,1,7,5,3]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]
[6,8,7,2,3,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,2,1,7,3,5,4]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[8,5,7,2,1,6,3,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,1,2,3,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,2,1,4,3,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,2,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,2,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,7,5,3,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,7,3,5,4,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,2,5,4,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,2,7,3,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,2,4,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,1,2,4,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,1,4,2,3,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,4,1,3,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,7,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[1,8,7,5,4,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,6,8,4,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[6,8,7,3,2,5,1,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,7,3,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,5,7,3,1,6,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,7,1,3,2,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,7,3,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,7,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[5,8,4,1,7,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[5,8,4,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,1,2,6,5,7,4,3]=>[8,2,3,7,6,5,4,1]=>[1,7,6,2,3,4,5,8]=>[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]
[8,2,5,6,7,4,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,7,1,6,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,7,1,2,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[4,8,5,1,7,2,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,1,7,2,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,7,1,2,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[6,8,1,3,7,2,5,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[4,6,2,8,1,7,5,3]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]
[1,6,4,8,3,7,5,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,7,4,5,3,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[4,8,5,7,2,1,6,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,3,7,2,1,6,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,3,1,4,2,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,1,3,2,4,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,3,2,7,1,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[4,8,5,2,7,1,6,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[1,8,7,4,3,5,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[1,8,7,3,4,5,6,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]
[8,2,4,5,7,1,6,3]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]=>[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]
[8,5,2,3,7,1,6,4]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[6,3,1,5,4,2,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[8,3,1,5,2,7,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,4,2,1,7,3,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,4,2,1,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[6,5,4,2,1,3,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,2,3,1,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,3,2,5,1,4,8,7]=>[6,5,3,4,2,1,8,7]=>[3,4,6,5,7,8,1,2]=>[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]
[6,5,4,3,1,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[6,5,4,1,3,2,8,7]=>[6,5,4,3,2,1,8,7]=>[3,4,5,6,7,8,1,2]=>[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]
[8,5,4,1,2,7,6,3]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,1,6,3,2,5]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,6,3,5,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,6,5,3,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,5,4,1,3,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,4,3,1,7,6,2]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,1,7,6,4]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[2,1,8,5,3,7,6,4]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,3,2,5,1,7,4,6]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]=>[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]
[8,5,4,3,1,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,5,4,1,3,7,2,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,1,6,5,2,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,4,1,6,2,5,3]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[8,7,6,5,2,1,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,6,2,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,7,6,4,1,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[2,1,8,7,6,4,3,5]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[2,1,8,7,6,4,5,3]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,3,2,7,6,4,5,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,4,3,6,2,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,2,4,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,2,3,7,6,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,7,4,2,6,5,3,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,2,6,3,5,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,2,6,3,1,5]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,1,7,6,4,2,5]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,1,7,6,4,5,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,1,7,6,5,4,2]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,1,5,4,7,6,2]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,3,1,5,4,7,2,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[8,3,1,7,6,5,2,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,3,1,7,6,2,5,4]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,7,4,2,6,1,5,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,2,6,5,1,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,5,4,2,3,7,1,6]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]=>[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]
[8,3,2,5,4,7,1,6]=>[8,7,3,5,4,6,2,1]=>[1,2,6,4,5,3,7,8]=>[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]
[2,1,8,5,4,7,3,6]=>[2,1,8,7,5,6,4,3]=>[7,8,1,2,4,3,5,6]=>[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]
[8,3,2,7,6,5,1,4]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]=>[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]
[8,7,4,3,6,5,1,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,3,1,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,1,3,2,4]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,1,3,4,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,1,4,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,4,1,3,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,4,3,6,1,5,2]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,3,2,7,6,1,5,4]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[2,1,8,7,6,3,5,4]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]=>[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]
[8,3,2,7,6,1,4,5]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]=>[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]
[8,7,6,5,1,4,2,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[8,7,6,5,1,2,4,3]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]
[7,3,5,1,8,4,6,2]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]=>[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]
[7,3,4,1,8,5,6,2]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]=>[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]
[4,5,6,2,1,8,7,3]=>[